Simulation Argument Details for simglm

2021-08-09

The tidy simulation framework uses simulation arguments as the basis for specifying the models to be simulated. The goal of this vignette is to document more thoroughly the various arguments that are possible within each function. It is recommended that new users start with the “Tidy Simulation with simglm” vignette prior to working through this vignette.

Fixed Arguments

Arguments associated with the fixed portion of the model are needed for each fixed variable that needs to be simulated. The fixed variables specified come from the formula argument. Interactions or the intercept are not included in the fixed arguments as these are generated automatically. Let’s start with an example.

library(simglm)

set.seed(321) 

# To-DO: Add knot variable and debug

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

fixed_data <- simulate_fixed(data = NULL, sim_arguments)
head(fixed_data, n = 20)
##    X.Intercept. time   weight age treat_1   treat level1_id id
## 1             1    0 231.1471  39       0 Control         1  1
## 2             1    1 158.6388  39       0 Control         2  1
## 3             1    2 171.6605  39       0 Control         3  1
## 4             1    3 176.4105  39       0 Control         4  1
## 5             1    4 176.2812  39       0 Control         5  1
## 6             1    5 188.0455  39       0 Control         6  1
## 7             1    6 201.8052  39       0 Control         7  1
## 8             1    7 186.9941  39       0 Control         8  1
## 9             1    8 190.1734  39       0 Control         9  1
## 10            1    9 163.4426  39       0 Control        10  1
## 11            1    0 190.4310  30       0 Control         1  2
## 12            1    1 224.5378  30       0 Control         2  2
## 13            1    2 185.6498  30       0 Control         3  2
## 14            1    3 253.2978  30       0 Control         4  2
## 15            1    4 145.3968  30       0 Control         5  2
## 16            1    5 155.8598  30       0 Control         6  2
## 17            1    6 193.6821  30       0 Control         7  2
## 18            1    7 192.6100  30       0 Control         8  2
## 19            1    8 197.3275  30       0 Control         9  2
## 20            1    9 193.3907  30       0 Control        10  2

The following example shows the five types of variables that can be generated. These types are specified with the var_type argument and can be one of the following five types:

Each variable type will be explored in more detail.

Finally, another common argument for all fixed variable types is the argument var_level. This defaults to var_level = 1 which would be a variable defined at the level 1 of the model (i.e. unique value for each row in the data). These can be changed to reflect the data level that is desired. For example, var_level = 2 would repeat values for each level 2 cluster found in the data and var_level = 3 would do the same for each level 3 cluster. Therefore for variables that are at level 2 or level 3, there will be fewer unique values in the data compared to level 1 variables.

Time Variable

For time variables used in longitudinal or repeated measures designs, the default metric is 0 to level1 sample size minus 1. This can be seen above in the output. To change the time variable metric the time_levels argument can be used. A vector of values to specify for the time variable can be given directly. For example, the following could be passed to alter the metric of the time variable: time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6) where now the time variable would increment in 0.5 units for the first 7 measurements and 1 unit increments for the last three measurements. This could represent a case when the measurements are collected every 6 months for the first 7 measurements and yearly after that.

Below is the output including the manual time variable specification. The only requirement is that the length of the time_levels argument must match the level1 sample size.

set.seed(321) 

# To-DO: Add knot variable and debug

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time',
                           time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6)),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

fixed_data <- simulate_fixed(data = NULL, sim_arguments)
head(fixed_data, n = 20)
##    X.Intercept. time   weight age treat_1   treat level1_id id
## 1             1  0.0 231.1471  39       0 Control         1  1
## 2             1  0.5 158.6388  39       0 Control         2  1
## 3             1  1.0 171.6605  39       0 Control         3  1
## 4             1  1.5 176.4105  39       0 Control         4  1
## 5             1  2.0 176.2812  39       0 Control         5  1
## 6             1  2.5 188.0455  39       0 Control         6  1
## 7             1  3.0 201.8052  39       0 Control         7  1
## 8             1  4.0 186.9941  39       0 Control         8  1
## 9             1  5.0 190.1734  39       0 Control         9  1
## 10            1  6.0 163.4426  39       0 Control        10  1
## 11            1  0.0 190.4310  30       0 Control         1  2
## 12            1  0.5 224.5378  30       0 Control         2  2
## 13            1  1.0 185.6498  30       0 Control         3  2
## 14            1  1.5 253.2978  30       0 Control         4  2
## 15            1  2.0 145.3968  30       0 Control         5  2
## 16            1  2.5 155.8598  30       0 Control         6  2
## 17            1  3.0 193.6821  30       0 Control         7  2
## 18            1  4.0 192.6100  30       0 Control         8  2
## 19            1  5.0 197.3275  30       0 Control         9  2
## 20            1  6.0 193.3907  30       0 Control        10  2

Continuous Variable

Continuous variables are generating using distribution functions (i.e. rnorm). Any distribution function found within R, or user written distribution functions can be used, however the default used in rnorm. To change the distribution function used, the argument dist can be specified. For example, if the Gamma distribution is desired for the weight variable, the following code would achieve this:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time',
                           time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6)),
               weight = list(var_type = 'continuous', dist = 'rgamma', 
                             shape = 3),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

fixed_data <- simulate_fixed(data = NULL, sim_arguments)
head(fixed_data, n = 20)
##    X.Intercept. time   weight age treat_1     treat level1_id id
## 1             1  0.0 5.922362  41       1 Treatment         1  1
## 2             1  0.5 1.500918  41       1 Treatment         2  1
## 3             1  1.0 1.894797  41       1 Treatment         3  1
## 4             1  1.5 2.307843  41       1 Treatment         4  1
## 5             1  2.0 1.975996  41       1 Treatment         5  1
## 6             1  2.5 2.882207  41       1 Treatment         6  1
## 7             1  3.0 3.064936  41       1 Treatment         7  1
## 8             1  4.0 1.703499  41       1 Treatment         8  1
## 9             1  5.0 7.518809  41       1 Treatment         9  1
## 10            1  6.0 2.442868  41       1 Treatment        10  1
## 11            1  0.0 7.855513  52       0   Control         1  2
## 12            1  0.5 1.008858  52       0   Control         2  2
## 13            1  1.0 3.452912  52       0   Control         3  2
## 14            1  1.5 7.881209  52       0   Control         4  2
## 15            1  2.0 2.262056  52       0   Control         5  2
## 16            1  2.5 3.255559  52       0   Control         6  2
## 17            1  3.0 4.160648  52       0   Control         7  2
## 18            1  4.0 2.333586  52       0   Control         8  2
## 19            1  5.0 1.900442  52       0   Control         9  2
## 20            1  6.0 1.445119  52       0   Control        10  2

This would be the resulting distribution of the weight variable generated.

library(ggplot2)

ggplot(fixed_data, aes(x = weight)) + 
  geom_density() + 
  theme_bw()

Ordinal Variable

Ordinal variable specification uses the sample function within R to generate ordinal variables that are whole integers. The required argument for these types of variables is levels. The levels argument takes a range or vector of integer values to be passed to the sample function within R. For example, these three specifications for the levels argument are valid: 3:60, seq(4, 60, 2), c(3, 10, 18, 24, 54, 60).

An additional optional argument is replace. The replace argument specified whether the sampling is done with or without replacement. The default behavior is to do sampling with replacement. If sampling without replacement is desired set replace = FALSE. See sample for more details on this argument.

Finally, the probability of selecting each value specified to the levels argument is also able to be specified through the prob argument. If prob is specified, it takes a vector of probabilities that must be the same length as the levels argument. The default behavior is for each value specified with levels to be equally likely to be sampled.

Factor Variable

Factor variables are generated similarly to ordinal variables with the sample function, however factor variables allow the generation of text or categorical variables in addition to numeric grouping variables. Therefore the only needed argument for factor variables is a vector of numeric or text strings representing the different groups to be generated. For example, both of these specifications are equivalent: c(1, 2, 3, 4) and c('Freshman', 'Sophomore', 'Junior', 'Senior'). Both of these specifications would generate data for these four groups, the difference is that the text labels will be used when text strings are specified.

An additional optional argument is replace. The replace argument specified whether the sampling is done with or without replacement. The default behavior is to do sampling with replacement. If sampling without replacement is desired set replace = FALSE. See sample for more details on this argument.

Finally, the probability of selecting each value specified to the levels argument is also able to be specified through the prob argument. If prob is specified, it takes a vector of probabilities that must be the same length as the levels argument. The default behavior is for each value specified with levels to be equally likely to be sampled.

Knot Variables

Knot variables are defined as those that are a prominent point based on a specific spot of another variable. A common example of these types of variables would occur in interrupted time series data, where there is a place in time where the treatment is given after a series of baselines. The place where the treatment is given is the knot location.

In simglm, knots are specified within the formula, it is made particularly explicit below with the name: age_knot. Adding _knot at the end of a knot variable is not needed, but is used here to be more illustrative. When specifying knot attributes, the specific behavior of these attributes are controlled through the knot named element of the simulation arguments. See the example below with the simulation arguments for the variable, age_knot.

sim_args <- list(
    formula = y ~ 1  + age + age_knot,
    fixed = list(age = list(var_type = 'ordinal', levels = 30:60)),
    knot = list(age_knot = list(variable = 'age', 
                                knot_locations = 50)),
    sample_size = 500,
    error = list(variance = 10),
    reg_weights = c(2, .5, 1.5)
  )

The required elements to simulate a knot variable is the variable to base the knot location on. This is specified with, variable = 'age' above. The second required element is the argument, knot_locations which specifies the location where the knot is placed. The knot variable itself is a variable that takes on the number of knot locations plus one, therefore in this example, the age_knot variable takes on two values. This would be similar to an indicator or dummy variable used in a linear regression model.

Similar to above, the simulate_fixed() function does the simulation of this fixed effect term.

simulate_fixed(data = NULL, sim_args = sim_args) %>%
  head()
##   X.Intercept. age age_knot level1_id
## 1            1  50        1         1
## 2            1  56        1         2
## 3            1  30        0         3
## 4            1  38        0         4
## 5            1  33        0         5
## 6            1  42        0         6

As specified, this term would represent a change in the intercept for those that are larger than the knot location, above this was specified as 50 years. More complicated structures can be obtained. One example shown here is that an interaction between the knot variable and the age variable can be made. This term would then represent a change in slope for those that are older than 50. The only change needed is to add this term to the specification within the formula and also add another term to the reg_weights argument to specify on average the magnitude of the slope change.

sim_args <- list(
    formula = y ~ 1  + age + age_knot + age:age_knot,
    fixed = list(age = list(var_type = 'ordinal', levels = 30:60)),
    knot = list(age_knot = list(variable = 'age', 
                                knot_locations = 50)),
    sample_size = 500,
    error = list(variance = 1000),
    reg_weights = c(2, .5, 1.5, 10)
  )

simulate_fixed(data = NULL, sim_args = sim_args) %>% 
  head()
##   X.Intercept. age age_knot age.age_knot level1_id
## 1            1  48        0            0         1
## 2            1  51        1           51         2
## 3            1  42        0            0         3
## 4            1  49        0            0         4
## 5            1  35        0            0         5
## 6            1  33        0            0         6

Random Error Arguments

By default, the random error is generated as random normal with a mean of 0 and standard deviation of 1. If this is the desired behavior, no additional simulation arguments need to be specified in the simulation arguments. For example, the code below generates random error using the fixed arguments already shown above.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
head(error_data, n = 20)
##         error level1_id id
## 1   1.7049032         1  1
## 2  -0.7120386         2  1
## 3  -0.2779849         3  1
## 4  -0.1196490         4  1
## 5  -0.1239606         5  1
## 6   0.2681838         6  1
## 7   0.7268415         7  1
## 8   0.2331354         8  1
## 9   0.3391139         9  1
## 10 -0.5519147        10  1
## 11  0.3477014         1  2
## 12  1.4845918         2  2
## 13  0.1883255         3  2
## 14  2.4432598         4  2
## 15 -1.1534395         5  2
## 16 -0.8046717         6  2
## 17  0.4560691         7  2
## 18  0.4203326         8  2
## 19  0.5775845         9  2
## 20  0.4463561        10  2

Optional Arguments for Random Error

The two main optional arguments for the random error component include a dist and variance that represent the error generating function and variance of the random error respectively. For example, if a t-distribution is desired for simulation of random error, dist = 'rt' can be used to specify the t-distribution as the generating distribution. When distributions other than random normal are specified, it is common that additional arguments will need to be specified for the generating distribution function (i.e. rt). In the rt example, the df argument is needed to specify the degrees of freedom for the t-distribution. Below is an example using a t-distribution.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
head(error_data, n = 20)
##         error level1_id id
## 1   2.7754417         1  1
## 2  -0.6105358         2  1
## 3   0.2388096         3  1
## 4   0.2364648         4  1
## 5  -0.5580779         5  1
## 6   1.5918703         6  1
## 7   5.3320327         7  1
## 8   0.3197329         8  1
## 9  -0.1541429         9  1
## 10 -1.7929619        10  1
## 11 -1.4292669         1  2
## 12 -1.6045961         2  2
## 13 -1.0007634         3  2
## 14 -1.5413444         4  2
## 15 -0.1818689         5  2
## 16 -1.7195087         6  2
## 17  0.2629315         7  2
## 18  0.8104919         8  2
## 19  0.2150117         9  2
## 20  2.1937363        10  2

Finally, the variance of the random error can also be specified to be something other than the default 1. For example, if the variance is desired to be 10, then the argument variance = 10 will set this variance. This variance works with any distribution function. For example, the following will generate data as a t-distribution with a variance of 10.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4, variance = 10),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
var(error_data$error)
## [1] 19.36487

Note that the variance does not actually equal 10 here. This is due to the generating distribution specified (i.e. t-distribution with 4 degrees of freedom) has a theoretical variance of 2. In cases when the random error has a variance other than 1, the variable needs to be standardized prior to converting to the desired variance value. The standardization can be done in two ways. One, an empirical mean and standard deviation of the generating distribution can be obtained by setting the argument ther_sim = TRUE. For example:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4, variance = 10, ther_sim = TRUE),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
var(error_data$error)
## [1] 6.893405

This simulation takes longer to run as the generated empirical mean and standard deviation for the standardization draws a large number of random values from the specified distribution. To speed up this process, the theoretical values can be specified directly within the ther_val argument as a vector with the mean specified first followed by the standard deviation. This is shown below:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  error = list(dist = 'rt', df = 4, variance = 10, ther_val = c(0, sqrt(2))),
  sample_size = list(level1 = 10, level2 = 20)
)

error_data <- simulate_error(data = NULL, sim_arguments)
var(error_data$error)
## [1] 9.682433

Heterogeneity of Variance

It is also possible to generate heterogeneity of variance for the random error.

simulation_arguments <- list(
  formula = y ~ 1 + group,
  fixed = list(group = list(var_type = 'factor', 
                            levels = c('male', 'female'))),
  sample_size = 500,
  error = list(variance = 1),
  heterogeneity = list(variable = 'group',
                       variance = c(1, 8)),
  reg_weights = c(0, .15)
)

hetero_data <- simulate_fixed(data = NULL, simulation_arguments) %>%
  simulate_error(simulation_arguments) %>%
  simulate_heterogeneity(simulation_arguments)
hetero_data %>% 
  group_by(group) %>% 
  summarise(var_error = var(error), 
            var_o_error = var(orig_error))
## # A tibble: 2 × 3
##   group  var_error var_o_error
##   <chr>      <dbl>       <dbl>
## 1 female      1.03        1.03
## 2 male        8.65        1.08

Random Effect Arguments

The random effect arguments are passed through a named element of the list to the simulation arguments called ‘randomeffect’. Within this element, each random effect specified in the formula must be specified as a named list. The named list allows the user to specify the names that will be used in the data simulation for the random effects. The default behavior of these random effects is to be simulated from a random normal distribution with mean 0 and variance of 1.

Many of the same arguments that have been discussed with the error simulation are possible for the random effect simulation arguments. These include: dist, variance, ther_sim, ther_val and other arguments that are needed to pass on the data generating function. In addition, the argument var_level first introduced with the fixed effects are present here indicating which level of the data structure the random effect should be generated at. These arguments will not be discussed in more detail here, but readers can see examples of these arguments within the fixed effects and random error sections above.

Below is an example that simulated two random effects in a two-level nested model and specifies the variance of 8 and 3 for the two random effects respectively. Finally, you will notice in the final output, the names of the random effect columns are specified by the names included in the list associated with the “randomeffect” portion of the simulation arguments.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                time_id = list(variance = 3, var_level = 2)),
  sample_size = list(level1 = 10, level2 = 20)
)

random_data <- simulate_randomeffect(data = NULL, sim_arguments)
head(random_data, n = 20)
##       int_id   time_id level1_id id
## 1   4.822195  1.588733         1  1
## 2   4.822195  1.588733         2  1
## 3   4.822195  1.588733         3  1
## 4   4.822195  1.588733         4  1
## 5   4.822195  1.588733         5  1
## 6   4.822195  1.588733         6  1
## 7   4.822195  1.588733         7  1
## 8   4.822195  1.588733         8  1
## 9   4.822195  1.588733         9  1
## 10  4.822195  1.588733        10  1
## 11 -2.013949 -0.185436         1  2
## 12 -2.013949 -0.185436         2  2
## 13 -2.013949 -0.185436         3  2
## 14 -2.013949 -0.185436         4  2
## 15 -2.013949 -0.185436         5  2
## 16 -2.013949 -0.185436         6  2
## 17 -2.013949 -0.185436         7  2
## 18 -2.013949 -0.185436         8  2
## 19 -2.013949 -0.185436         9  2
## 20 -2.013949 -0.185436        10  2

Cross-Classified Random Effects

If cross-classified random effects are desired, these can be specified directly within the formula syntax as you would with lme4. For example, y ~ 1 + time + weight + age + treat + (1 + time| id) + (1 | neighborhood_id). When documenting the simulation arguments for the additional cross-classified random effect (i.e. (1 | neighborhood_id)), specifying cross_class = TRUE with that random effect to identify that this is indeed a cross-classified random effect. Secondly, you can also specify directly the number of clusters that are associated with this cross-classified factor, this can be different than those specified in the sample_size argument. This can be done with the num_ids argument. Below is an example with a single cross-classified random effect representing neighborhoods individuals belong in

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id) +
    (1 | neighborhood_id),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                time_id = list(variance = 3, var_level = 2),
                int_nid = list(variance = 5, var_level = 2,
                               cross_class = TRUE,
                               num_ids = 12)),
  sample_size = list(level1 = 10, level2 = 20)
)

random_data <- simulate_randomeffect(data = NULL, sim_arguments)
head(random_data, n = 20)
##       int_id   time_id    int_nid neighborhood_id level1_id id
## 1   4.822195  1.588733  0.7319884               1         1  1
## 2   4.822195  1.588733  0.7319884               1         2  1
## 3   4.822195  1.588733  0.7319884               1         3  1
## 4   4.822195  1.588733  0.7319884               1         4  1
## 5   4.822195  1.588733  0.7319884               1         5  1
## 6   4.822195  1.588733  0.7319884               1         6  1
## 7   4.822195  1.588733  0.7319884               1         7  1
## 8   4.822195  1.588733  0.7319884               1         8  1
## 9   4.822195  1.588733  0.7319884               1         9  1
## 10  4.822195  1.588733  0.7319884               1        10  1
## 11 -2.013949 -0.185436  0.7319884               1         1  2
## 12 -2.013949 -0.185436  0.7319884               1         2  2
## 13 -2.013949 -0.185436  0.7319884               1         3  2
## 14 -2.013949 -0.185436  0.7319884               1         4  2
## 15 -2.013949 -0.185436  0.7319884               1         5  2
## 16 -2.013949 -0.185436  0.7319884               1         6  2
## 17 -2.013949 -0.185436 -5.0111674               2         7  2
## 18 -2.013949 -0.185436 -5.0111674               2         8  2
## 19 -2.013949 -0.185436 -5.0111674               2         9  2
## 20 -2.013949 -0.185436 -5.0111674               2        10  2

Correlated Fixed and Random Effects

Data attributes are often correlated, therefore, in order to really mimic real-world data, simulated data that are correlated would be desired. This can be done with simglm by using the function correlated_variables(). This function processes a new set of simulation arguments specified with the named correlate. In what follows, discussion of correlating fixed effects will be explored first, followed by correlating random effects next.

Fixed Effect Correlation

sim_args <- list(formula = y ~ 1 + act + gpa + commute_time, 
                 fixed = list(act = list(var_type = 'ordinal',
                                         levels = 15:36),
                              gpa = list(var_type = 'continuous',
                                         mean = 2, 
                                         sd = .5),
                              commute_time = list(var_type = 'continuous',
                                         mean = 15, 
                                         sd = 6)),
                 correlate = list(fixed = data.frame(x = c('act', 'act', 'gpa'), 
                                                     y = c('gpa', 'commute_time', 'commute_time'), 
                                                     corr = c(0.5, .6, .2))),
                 sample_size = 1000)

correlate_attribute <- simulate_fixed(data = NULL, sim_args) %>%
  correlate_variables(sim_args)

head(correlate_attribute)
##   X.Intercept. act_old  gpa_old commute_time_old level1_id act_corr      gpa
## 1            1      31 2.542058         19.84992         1 33.34939 2.007960
## 2            1      30 1.094168         11.30912         2 24.89321 2.123880
## 3            1      31 1.824700         13.73815         3 29.60763 2.215003
## 4            1      16 1.573188         15.26606         4 14.56133 1.552374
## 5            1      20 1.344491         19.25067         5 17.05369 1.321968
## 6            1      16 1.389140         15.84091         6 13.60838 1.452813
##   commute_time act
## 1     16.40195  33
## 2     24.17105  25
## 3     20.65193  30
## 4     10.05897  15
## 5     14.62946  17
## 6     11.14732  15
select(correlate_attribute, -X.Intercept., -level1_id) %>%
  cor(.)
##                     act_old     gpa_old commute_time_old  act_corr        gpa
## act_old          1.00000000  0.04962541       0.04835660 0.9188642  0.3863944
## gpa_old          0.04962541  1.00000000      -0.04152076 0.4396757  0.3779704
## commute_time_old 0.04835660 -0.04152076       1.00000000 0.0300287 -0.8447945
## act_corr         0.91886422  0.43967570       0.03002870 1.0000000  0.4942777
## gpa              0.38639439  0.37797036      -0.84479447 0.4942777  1.0000000
## commute_time     0.86267143 -0.46233028       0.06300074 0.5931195  0.1524556
## act              0.92275601  0.41973540       0.03151538 0.9956235  0.4881891
##                  commute_time        act
## act_old            0.86267143 0.92275601
## gpa_old           -0.46233028 0.41973540
## commute_time_old   0.06300074 0.03151538
## act_corr           0.59311946 0.99562355
## gpa                0.15245559 0.48818907
## commute_time       1.00000000 0.60667173
## act                0.60667173 1.00000000

Random Effect Correlation

sim_args <- list(formula = y ~ 1 + act + gpa + sat + (1 + act | id), 
                 fixed = list(act = list(var_type = 'continuous',
                                         mean = 20, 
                                         sd = 4),
                              gpa = list(var_type = 'continuous',
                                         mean = 2, 
                                         sd = .5),
                              sat = list(var_type = 'continuous',
                                         mean = 500, 
                                         sd = 100)),
                 
                 randomeffect = list(int_id = list(variance = 8, var_level = 2),
                                     act_id = list(variance = 3, var_level = 2)),
                 sample_size = list(level1 = 100, level2 = 5000),
                 correlate = list(random = data.frame(x = 'int_id', y = 'act_id',
                                                      corr = .3))
                 )

random_correlate <- simulate_randomeffect(data = NULL, sim_args) %>%
  correlate_variables(sim_args)

head(random_correlate)
##   int_id_old act_id_old level1_id id   int_id   act_id
## 1  -5.137806  -2.204438         1  1 4.540962 3.362763
## 2  -5.137806  -2.204438         2  1 4.540962 3.362763
## 3  -5.137806  -2.204438         3  1 4.540962 3.362763
## 4  -5.137806  -2.204438         4  1 4.540962 3.362763
## 5  -5.137806  -2.204438         5  1 4.540962 3.362763
## 6  -5.137806  -2.204438         6  1 4.540962 3.362763
select(random_correlate, -level1_id, -id) %>%
  cor(.)
##              int_id_old   act_id_old     int_id     act_id
## int_id_old  1.000000000  0.001196824 -0.9888210 -0.4418334
## act_id_old  0.001196824  1.000000000  0.1479240 -0.8976253
## int_id     -0.988820977  0.147924047  1.0000000  0.3031302
## act_id     -0.441833443 -0.897625255  0.3031302  1.0000000

Missing Data Arguments

Missing data is the standard rather than the exception in real world data. Therefore, generating data that include missing is important for generating data that are representative of real world data. In the power analysis context, most power analyses do not include missing data in the power computations (particularly if these are closed form solutions), but power can be negatively affected by missing data.

Fortunatly, the simglm package contains many useful frameworks for generating missing data. To generate missing data, the generate_missing function can be used for this. This function is called after the complete data are generated. This means that the complete data and missing data will be generated. Currently three types of missing data are supported, dropout, random, and mar (missing at random). The specification of missing data arguments is done using a named element to the simulation argument list called “missing_data”.

Random Missing Data

First, lets explore random missing data. This structure is equivalent to the missing completely at random framework if you are familiar with Rubin’s missing data classifications. To generate random missing data the type = 'random' is specified. Two additional arguments are needed to generate the missing data, first the missing proportion needs to be specified with miss_prop and the name of the new response variable with missing data needs to be specified with new_outcome. Below is an example generating data with random missing data.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(miss_prop = .25, new_outcome = 'y_missing',
                      type = 'random'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)
##    X.Intercept. time   weight age treat_1   treat level1_id id    int_id
## 1             1    0 231.1471  39       0 Control         1  1 0.2244243
## 2             1    1 158.6388  39       0 Control         2  1 0.2244243
## 3             1    2 171.6605  39       0 Control         3  1 0.2244243
## 4             1    3 176.4105  39       0 Control         4  1 0.2244243
## 5             1    4 176.2812  39       0 Control         5  1 0.2244243
## 6             1    5 188.0455  39       0 Control         6  1 0.2244243
## 7             1    6 201.8052  39       0 Control         7  1 0.2244243
## 8             1    7 186.9941  39       0 Control         8  1 0.2244243
## 9             1    8 190.1734  39       0 Control         9  1 0.2244243
## 10            1    9 163.4426  39       0 Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y miss_prob
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674     0.646
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179     0.088
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536     0.534
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185     0.560
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444     0.119
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324     0.415
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665     0.718
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655     0.697
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087     0.928
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359     0.829
##    miss_prob y_missing
## 1          0  179.9674
## 2          1        NA
## 3          0  139.7536
## 4          0  145.3185
## 5          1        NA
## 6          0  160.4324
## 7          0  175.0665
## 8          0  164.6655
## 9          0  171.5087
## 10         0  156.0359

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))
## 
## FALSE  TRUE 
## 0.735 0.265

MAR Missing Data

Data that are missing at random (MAR) can be generated as well.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30,
                             var_level = 1),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(new_outcome = 'y_missing', miss_cov = 'weight', 
                      mar_prop = seq(from = 0, to = .9, length.out = 200),
                      type = 'mar'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)
##    X.Intercept. time   weight age treat_1   treat level1_id id    int_id
## 1             1    0 231.1471  39       0 Control         1  1 0.2244243
## 2             1    1 158.6388  39       0 Control         2  1 0.2244243
## 3             1    2 171.6605  39       0 Control         3  1 0.2244243
## 4             1    3 176.4105  39       0 Control         4  1 0.2244243
## 5             1    4 176.2812  39       0 Control         5  1 0.2244243
## 6             1    5 188.0455  39       0 Control         6  1 0.2244243
## 7             1    6 201.8052  39       0 Control         7  1 0.2244243
## 8             1    7 186.9941  39       0 Control         8  1 0.2244243
## 9             1    8 190.1734  39       0 Control         9  1 0.2244243
## 10            1    9 163.4426  39       0 Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y miss_prop
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674 0.8683417
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179 0.2035176
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536 0.3165829
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185 0.3844221
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444 0.3798995
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324 0.5562814
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665 0.7236181
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655 0.5201005
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087 0.5743719
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359 0.2442211
##    miss_prob missing y_missing
## 1  0.4186856       1        NA
## 2  0.7042782       0  125.9179
## 3  0.8222003       0  139.7536
## 4  0.7070236       0  145.3185
## 5  0.1005621       1        NA
## 6  0.2103423       1        NA
## 7  0.3023945       1        NA
## 8  0.6374396       0  164.6655
## 9  0.6387437       0  171.5087
## 10 0.8129966       0  156.0359

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))
## 
## FALSE  TRUE 
## 0.555 0.445

Dropout Missing Data

Dropout missing data is possible when simulating data from a longitudinal design. When requesting dropout missing data, observations are removed after a specific point in the time cycle. For example, perhaps an individual stops being a part of the study after the third measurement. To request this type of missing data, the type = 'dropout' can be specified. In addition, one new argument is needed, clust_var. This argument represents the id associated with the clusters with longitudinal data. Below is an example:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(miss_prop = .25, new_outcome = 'y_missing',
                      clust_var = 'id', type = 'dropout'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)
##    X.Intercept. time   weight age treat_1   treat level1_id id    int_id
## 1             1    0 231.1471  39       0 Control         1  1 0.2244243
## 2             1    1 158.6388  39       0 Control         2  1 0.2244243
## 3             1    2 171.6605  39       0 Control         3  1 0.2244243
## 4             1    3 176.4105  39       0 Control         4  1 0.2244243
## 5             1    4 176.2812  39       0 Control         5  1 0.2244243
## 6             1    5 188.0455  39       0 Control         6  1 0.2244243
## 7             1    6 201.8052  39       0 Control         7  1 0.2244243
## 8             1    7 186.9941  39       0 Control         8  1 0.2244243
## 9             1    8 190.1734  39       0 Control         9  1 0.2244243
## 10            1    9 163.4426  39       0 Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y missing
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674       0
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179       0
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536       0
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185       0
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444       0
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324       0
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665       0
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655       0
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087       0
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359       1
##    y_missing
## 1   179.9674
## 2   125.9179
## 3   139.7536
## 4   145.3185
## 5   148.2444
## 6   160.4324
## 7   175.0665
## 8   164.6655
## 9   171.5087
## 10        NA

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))
## 
## FALSE  TRUE 
##  0.74  0.26

We can also look now at the amount of missing by the time variable.

prop.table(table(is.na(data_w_missing$y_missing), data_w_missing$time))
##        
##            0    1    2    3    4    5    6    7    8    9
##   FALSE 0.10 0.10 0.10 0.10 0.10 0.09 0.07 0.06 0.02 0.00
##   TRUE  0.00 0.00 0.00 0.00 0.00 0.01 0.03 0.04 0.08 0.10

Specify location of dropout

If additional control is desired, specifying the location of the dropout is possible. In this situation, a vector is passed to dropout_location that specifies for each individual (more generally each level 2 unit) where the dropout occurs. Below is an example of this.

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  reg_weights = c(4, 0.5, 0.75, 0, 0.33),
  fixed = list(time = list(var_type = 'time'),
               weight = list(var_type = 'continuous', mean = 180, sd = 30),
               age = list(var_type = 'ordinal', levels = 30:60, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                      time_id = list(variance = 3, var_level = 2)),
  missing_data = list(new_outcome = 'y_missing',
      dropout_location = c(3, 9, 1, 6, 7, 8, 6, 9, 2, 4, 6, 5, 8, 9, 4, 5, 
                           6, 7, 2, 9),
                      clust_var = 'id', type = 'dropout'),
  sample_size = list(level1 = 10, level2 = 20)
)

data_w_missing <- sim_arguments %>%
  simulate_fixed(data = NULL, .) %>%
  simulate_randomeffect(sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  generate_missing(sim_arguments)

head(data_w_missing, n = 10)
##    X.Intercept. time   weight age treat_1   treat level1_id id    int_id
## 1             1    0 231.1471  39       0 Control         1  1 0.2244243
## 2             1    1 158.6388  39       0 Control         2  1 0.2244243
## 3             1    2 171.6605  39       0 Control         3  1 0.2244243
## 4             1    3 176.4105  39       0 Control         4  1 0.2244243
## 5             1    4 176.2812  39       0 Control         5  1 0.2244243
## 6             1    5 188.0455  39       0 Control         6  1 0.2244243
## 7             1    6 201.8052  39       0 Control         7  1 0.2244243
## 8             1    7 186.9941  39       0 Control         8  1 0.2244243
## 9             1    8 190.1734  39       0 Control         9  1 0.2244243
## 10            1    9 163.4426  39       0 Control        10  1 0.2244243
##     time_id        error fixed_outcome random_effects        y missing
## 1  2.533554  2.382697049      177.3603      0.2244243 179.9674       0
## 2  2.533554 -0.319179378      123.4791      2.7579779 125.9179       0
## 3  2.533554  0.716756305      133.7453      5.2915315 139.7536       0
## 4  2.533554 -0.314477357      137.8079      7.8250850 145.3185       1
## 5  2.533554 -0.325146339      138.2109     10.3586386 148.2444       1
## 6  2.533554  0.006078237      147.5341     12.8921922 160.4324       1
## 7  2.533554  1.286803356      158.3539     15.4257457 175.0665       1
## 8  2.533554 -1.039387080      147.7455     17.9592993 164.6655       1
## 9  2.533554  0.385799112      150.6301     20.4928529 171.5087       1
## 10 2.533554  1.927576531      131.0819     23.0264064 156.0359       1
##    y_missing
## 1   179.9674
## 2   125.9179
## 3   139.7536
## 4         NA
## 5         NA
## 6         NA
## 7         NA
## 8         NA
## 9         NA
## 10        NA

We can look at the amount of missing data:

prop.table(table(is.na(data_w_missing$y_missing)))
## 
## FALSE  TRUE 
##  0.58  0.42

We can also look now at the amount of missing by the time variable.

prop.table(table(is.na(data_w_missing$y_missing), data_w_missing$time))
##        
##             0     1     2     3     4     5     6     7     8     9
##   FALSE 0.100 0.095 0.085 0.080 0.070 0.060 0.040 0.030 0.020 0.000
##   TRUE  0.000 0.005 0.015 0.020 0.030 0.040 0.060 0.070 0.080 0.100

Model Fit Arguments

The default behavior when fitting models to the generated data is to fit a model with the same formula as the generated data (i.e. formula simulation arguments). Secondly, the default model functions are lm/glm for single level simulation and lmer/glmer for multilevel simulation. Finally, the default regression weights specified in reg_weights are to compute statistics for power, type I error rates, and precision.

These defaults can be overriden by specifying simulation arguments through the named list called model_fit. Some examples were given in the Tidy Simulation vignette and the options that are able to be specified will depend on the model fitting function specified. A few examples are given for various model types, however, the user is directed to the documentation of the modeling functions specified through the model_function argument.

Changing Family Argument

For GLM models, users may wish to directly specify the family argument or change the link function within a specific family. For example, when generating data with a binary dependent variable, the logistic or probit links could be used when specifying the binomial family. Below is an example of using the binomial family with a logit link (the default link function).

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + weight + age + sex,
  fixed = list(weight = list(var_type = 'continuous', mean = 0, sd = 30),
               age = list(var_type = 'ordinal', levels = 0:30),
               sex = list(var_type = 'factor', levels = c('male', 'female'))),
  error = list(variance = 25),
  sample_size = 10,
  reg_weights = c(2, 0.3, -0.1, 0.5),
  outcome_type = 'binary',
  model_fit = list(
    model_function = 'glm',
    family = binomial
  )
)

simulate_fixed(data = NULL, sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  model_fit(sim_arguments) %>% .$family
## 
## Family: binomial 
## Link function: logit

The link function could then be changed to a probit link function with the following code:

set.seed(321) 

sim_arguments <- list(
  formula = y ~ 1 + weight + age + sex,
  fixed = list(weight = list(var_type = 'continuous', mean = 0, sd = 30),
               age = list(var_type = 'ordinal', levels = 0:30),
               sex = list(var_type = 'factor', levels = c('male', 'female'))),
  error = list(variance = 25),
  sample_size = 10,
  reg_weights = c(2, 0.3, -0.1, 0.5),
  outcome_type = 'binary',
  model_fit = list(
    model_function = 'glm',
    family = binomial(link = 'probit')
  )
)

simulate_fixed(data = NULL, sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  model_fit(sim_arguments) %>% .$family
## 
## Family: binomial 
## Link function: probit

Adding Serial Correlation

Serial correlation can be added to longitudinal designs and fitted using the nlme R package. Below is an example of implementing this functionality in the data generation and model fitting.

To come…

Marginal Models

It is also possible to change the default model fitting functions. For example, an alternative model approach to mixed models is generalized estimating equations (GEE) or marginal models. One implementation of these models in R is the geepack package. Below is the code to fit a marginal model in a longitudinal context. The code is not evaluated, so no coefficients are shown, but if you have the geepack package installed, this code should run as written.

set.seed(321) 

# To-DO: Add knot variable and debug

sim_arguments <- list(
  formula = y ~ 1 + time + weight + age + treat + (1 + time| id),
  fixed = list(time = list(var_type = 'time',
                           time_levels = c(0, 0.5, 1, 1.5, 2, 2.5, 3, 4, 5, 6)),
               weight = list(var_type = 'continuous', mean = 0, sd = 30),
               age = list(var_type = 'ordinal', levels = 0:30, var_level = 2),
               treat = list(var_type = 'factor', 
                            levels = c('Treatment', 'Control'),
                            var_level = 2)),
  reg_weights = c(0.4, 0.2, -0.5, 1, -0.6),
  randomeffect = list(int_id = list(variance = 8, var_level = 2),
                time_id = list(variance = 3, var_level = 2)),
  error = list(variance = 5),
  outcome_type = 'binary',
  sample_size = list(level1 = 10, level2 = 20),
  model_fit = list(
    model_function = geepack::geeglm,
    formula = y ~ 1 + time + weight + age + treat,
    id = 'level1_id',
    family = binomial,
    corstr = 'ar1'
  )
)

simulate_fixed(data = NULL, sim_arguments) %>%
  simulate_error(sim_arguments) %>%
  simulate_randomeffect(sim_arguments) %>%
  generate_response(sim_arguments) %>%
  model_fit(sim_arguments) %>%
  extract_coefficients()

Power Arguments

Vary Simulation Arguments

The replicate_simulation function first shown in the “tidy_simulation” vignette, can directly allow for the varying of simulation arguments. In order to vary simulation arguments, an additional named list called vary_arguments can be added to the simulation arguments passed to the functions. The vary_arguments elements of the simulation arguments is a nested named list. Within the named list, the arguments that are wished to be varied are specified by name. For example, a common argument varied is sample size. The following example varies the sample size to return multiple simulated data sets with different sample sizes.

Note: A user would likely want to change plan(sequential) to something like plan(mutisession) or plan(multicore) to run these in parallel. plan(sequential) is used here for vignette processing.

library(future)
plan(sequential)

sim_arguments <- list(
  formula =  resp_var ~ 1 + time + factor(trt) + time:factor(trt) + 
    (1 + time | individual),
  reg_weights = c(4, 0.5, 0.75, 0),
  fixed = list(time = list(var_type = 'time'),
               trt = list(var_type = 'factor', levels = c('Drug', 'Placebo'), 
                          var_level = 2)
               ),
  randomeffect = list(int_clust = list(variance = .2, var_level = 2),
                      time_clust = list(variance = .3, var_level = 2)),
  replications = 3,
  error = list(variance = 1),
  vary_arguments = list(
    sample_size = list(list(level1 = 5, level2 = 50),
                       list(level1 = 5, level2 = 60))
  )
)

replicate_simulation(sim_arguments)
## [[1]]
##                       sample_size replication X.Intercept. time trt_1
## 1   list(level1 = 5, level2 = 50)           1            1    0     0
## 2   list(level1 = 5, level2 = 50)           1            1    1     0
## 3   list(level1 = 5, level2 = 50)           1            1    2     0
## 4   list(level1 = 5, level2 = 50)           1            1    3     0
## 5   list(level1 = 5, level2 = 50)           1            1    4     0
## 6   list(level1 = 5, level2 = 50)           1            1    0     1
## 7   list(level1 = 5, level2 = 50)           1            1    1     1
## 8   list(level1 = 5, level2 = 50)           1            1    2     1
## 9   list(level1 = 5, level2 = 50)           1            1    3     1
## 10  list(level1 = 5, level2 = 50)           1            1    4     1
## 11  list(level1 = 5, level2 = 50)           1            1    0     1
## 12  list(level1 = 5, level2 = 50)           1            1    1     1
## 13  list(level1 = 5, level2 = 50)           1            1    2     1
## 14  list(level1 = 5, level2 = 50)           1            1    3     1
## 15  list(level1 = 5, level2 = 50)           1            1    4     1
## 16  list(level1 = 5, level2 = 50)           1            1    0     0
## 17  list(level1 = 5, level2 = 50)           1            1    1     0
## 18  list(level1 = 5, level2 = 50)           1            1    2     0
## 19  list(level1 = 5, level2 = 50)           1            1    3     0
## 20  list(level1 = 5, level2 = 50)           1            1    4     0
## 21  list(level1 = 5, level2 = 50)           1            1    0     0
## 22  list(level1 = 5, level2 = 50)           1            1    1     0
## 23  list(level1 = 5, level2 = 50)           1            1    2     0
## 24  list(level1 = 5, level2 = 50)           1            1    3     0
## 25  list(level1 = 5, level2 = 50)           1            1    4     0
## 26  list(level1 = 5, level2 = 50)           1            1    0     1
## 27  list(level1 = 5, level2 = 50)           1            1    1     1
## 28  list(level1 = 5, level2 = 50)           1            1    2     1
## 29  list(level1 = 5, level2 = 50)           1            1    3     1
## 30  list(level1 = 5, level2 = 50)           1            1    4     1
## 31  list(level1 = 5, level2 = 50)           1            1    0     0
## 32  list(level1 = 5, level2 = 50)           1            1    1     0
## 33  list(level1 = 5, level2 = 50)           1            1    2     0
## 34  list(level1 = 5, level2 = 50)           1            1    3     0
## 35  list(level1 = 5, level2 = 50)           1            1    4     0
## 36  list(level1 = 5, level2 = 50)           1            1    0     0
## 37  list(level1 = 5, level2 = 50)           1            1    1     0
## 38  list(level1 = 5, level2 = 50)           1            1    2     0
## 39  list(level1 = 5, level2 = 50)           1            1    3     0
## 40  list(level1 = 5, level2 = 50)           1            1    4     0
## 41  list(level1 = 5, level2 = 50)           1            1    0     1
## 42  list(level1 = 5, level2 = 50)           1            1    1     1
## 43  list(level1 = 5, level2 = 50)           1            1    2     1
## 44  list(level1 = 5, level2 = 50)           1            1    3     1
## 45  list(level1 = 5, level2 = 50)           1            1    4     1
## 46  list(level1 = 5, level2 = 50)           1            1    0     1
## 47  list(level1 = 5, level2 = 50)           1            1    1     1
## 48  list(level1 = 5, level2 = 50)           1            1    2     1
## 49  list(level1 = 5, level2 = 50)           1            1    3     1
## 50  list(level1 = 5, level2 = 50)           1            1    4     1
## 51  list(level1 = 5, level2 = 50)           1            1    0     1
## 52  list(level1 = 5, level2 = 50)           1            1    1     1
## 53  list(level1 = 5, level2 = 50)           1            1    2     1
## 54  list(level1 = 5, level2 = 50)           1            1    3     1
## 55  list(level1 = 5, level2 = 50)           1            1    4     1
## 56  list(level1 = 5, level2 = 50)           1            1    0     1
## 57  list(level1 = 5, level2 = 50)           1            1    1     1
## 58  list(level1 = 5, level2 = 50)           1            1    2     1
## 59  list(level1 = 5, level2 = 50)           1            1    3     1
## 60  list(level1 = 5, level2 = 50)           1            1    4     1
## 61  list(level1 = 5, level2 = 50)           1            1    0     1
## 62  list(level1 = 5, level2 = 50)           1            1    1     1
## 63  list(level1 = 5, level2 = 50)           1            1    2     1
## 64  list(level1 = 5, level2 = 50)           1            1    3     1
## 65  list(level1 = 5, level2 = 50)           1            1    4     1
## 66  list(level1 = 5, level2 = 50)           1            1    0     1
## 67  list(level1 = 5, level2 = 50)           1            1    1     1
## 68  list(level1 = 5, level2 = 50)           1            1    2     1
## 69  list(level1 = 5, level2 = 50)           1            1    3     1
## 70  list(level1 = 5, level2 = 50)           1            1    4     1
## 71  list(level1 = 5, level2 = 50)           1            1    0     1
## 72  list(level1 = 5, level2 = 50)           1            1    1     1
## 73  list(level1 = 5, level2 = 50)           1            1    2     1
## 74  list(level1 = 5, level2 = 50)           1            1    3     1
## 75  list(level1 = 5, level2 = 50)           1            1    4     1
## 76  list(level1 = 5, level2 = 50)           1            1    0     1
## 77  list(level1 = 5, level2 = 50)           1            1    1     1
## 78  list(level1 = 5, level2 = 50)           1            1    2     1
## 79  list(level1 = 5, level2 = 50)           1            1    3     1
## 80  list(level1 = 5, level2 = 50)           1            1    4     1
## 81  list(level1 = 5, level2 = 50)           1            1    0     1
## 82  list(level1 = 5, level2 = 50)           1            1    1     1
## 83  list(level1 = 5, level2 = 50)           1            1    2     1
## 84  list(level1 = 5, level2 = 50)           1            1    3     1
## 85  list(level1 = 5, level2 = 50)           1            1    4     1
## 86  list(level1 = 5, level2 = 50)           1            1    0     0
## 87  list(level1 = 5, level2 = 50)           1            1    1     0
## 88  list(level1 = 5, level2 = 50)           1            1    2     0
## 89  list(level1 = 5, level2 = 50)           1            1    3     0
## 90  list(level1 = 5, level2 = 50)           1            1    4     0
## 91  list(level1 = 5, level2 = 50)           1            1    0     1
## 92  list(level1 = 5, level2 = 50)           1            1    1     1
## 93  list(level1 = 5, level2 = 50)           1            1    2     1
## 94  list(level1 = 5, level2 = 50)           1            1    3     1
## 95  list(level1 = 5, level2 = 50)           1            1    4     1
## 96  list(level1 = 5, level2 = 50)           1            1    0     0
## 97  list(level1 = 5, level2 = 50)           1            1    1     0
## 98  list(level1 = 5, level2 = 50)           1            1    2     0
## 99  list(level1 = 5, level2 = 50)           1            1    3     0
## 100 list(level1 = 5, level2 = 50)           1            1    4     0
## 101 list(level1 = 5, level2 = 50)           1            1    0     1
## 102 list(level1 = 5, level2 = 50)           1            1    1     1
## 103 list(level1 = 5, level2 = 50)           1            1    2     1
## 104 list(level1 = 5, level2 = 50)           1            1    3     1
## 105 list(level1 = 5, level2 = 50)           1            1    4     1
## 106 list(level1 = 5, level2 = 50)           1            1    0     1
## 107 list(level1 = 5, level2 = 50)           1            1    1     1
## 108 list(level1 = 5, level2 = 50)           1            1    2     1
## 109 list(level1 = 5, level2 = 50)           1            1    3     1
## 110 list(level1 = 5, level2 = 50)           1            1    4     1
## 111 list(level1 = 5, level2 = 50)           1            1    0     1
## 112 list(level1 = 5, level2 = 50)           1            1    1     1
## 113 list(level1 = 5, level2 = 50)           1            1    2     1
## 114 list(level1 = 5, level2 = 50)           1            1    3     1
## 115 list(level1 = 5, level2 = 50)           1            1    4     1
## 116 list(level1 = 5, level2 = 50)           1            1    0     1
## 117 list(level1 = 5, level2 = 50)           1            1    1     1
## 118 list(level1 = 5, level2 = 50)           1            1    2     1
## 119 list(level1 = 5, level2 = 50)           1            1    3     1
## 120 list(level1 = 5, level2 = 50)           1            1    4     1
## 121 list(level1 = 5, level2 = 50)           1            1    0     1
## 122 list(level1 = 5, level2 = 50)           1            1    1     1
## 123 list(level1 = 5, level2 = 50)           1            1    2     1
## 124 list(level1 = 5, level2 = 50)           1            1    3     1
## 125 list(level1 = 5, level2 = 50)           1            1    4     1
## 126 list(level1 = 5, level2 = 50)           1            1    0     1
## 127 list(level1 = 5, level2 = 50)           1            1    1     1
## 128 list(level1 = 5, level2 = 50)           1            1    2     1
## 129 list(level1 = 5, level2 = 50)           1            1    3     1
## 130 list(level1 = 5, level2 = 50)           1            1    4     1
## 131 list(level1 = 5, level2 = 50)           1            1    0     1
## 132 list(level1 = 5, level2 = 50)           1            1    1     1
## 133 list(level1 = 5, level2 = 50)           1            1    2     1
## 134 list(level1 = 5, level2 = 50)           1            1    3     1
## 135 list(level1 = 5, level2 = 50)           1            1    4     1
## 136 list(level1 = 5, level2 = 50)           1            1    0     1
## 137 list(level1 = 5, level2 = 50)           1            1    1     1
## 138 list(level1 = 5, level2 = 50)           1            1    2     1
## 139 list(level1 = 5, level2 = 50)           1            1    3     1
## 140 list(level1 = 5, level2 = 50)           1            1    4     1
## 141 list(level1 = 5, level2 = 50)           1            1    0     1
## 142 list(level1 = 5, level2 = 50)           1            1    1     1
## 143 list(level1 = 5, level2 = 50)           1            1    2     1
## 144 list(level1 = 5, level2 = 50)           1            1    3     1
## 145 list(level1 = 5, level2 = 50)           1            1    4     1
## 146 list(level1 = 5, level2 = 50)           1            1    0     1
## 147 list(level1 = 5, level2 = 50)           1            1    1     1
## 148 list(level1 = 5, level2 = 50)           1            1    2     1
## 149 list(level1 = 5, level2 = 50)           1            1    3     1
## 150 list(level1 = 5, level2 = 50)           1            1    4     1
## 151 list(level1 = 5, level2 = 50)           1            1    0     1
## 152 list(level1 = 5, level2 = 50)           1            1    1     1
## 153 list(level1 = 5, level2 = 50)           1            1    2     1
## 154 list(level1 = 5, level2 = 50)           1            1    3     1
## 155 list(level1 = 5, level2 = 50)           1            1    4     1
## 156 list(level1 = 5, level2 = 50)           1            1    0     1
## 157 list(level1 = 5, level2 = 50)           1            1    1     1
## 158 list(level1 = 5, level2 = 50)           1            1    2     1
## 159 list(level1 = 5, level2 = 50)           1            1    3     1
## 160 list(level1 = 5, level2 = 50)           1            1    4     1
## 161 list(level1 = 5, level2 = 50)           1            1    0     0
## 162 list(level1 = 5, level2 = 50)           1            1    1     0
## 163 list(level1 = 5, level2 = 50)           1            1    2     0
## 164 list(level1 = 5, level2 = 50)           1            1    3     0
## 165 list(level1 = 5, level2 = 50)           1            1    4     0
## 166 list(level1 = 5, level2 = 50)           1            1    0     1
## 167 list(level1 = 5, level2 = 50)           1            1    1     1
## 168 list(level1 = 5, level2 = 50)           1            1    2     1
## 169 list(level1 = 5, level2 = 50)           1            1    3     1
## 170 list(level1 = 5, level2 = 50)           1            1    4     1
## 171 list(level1 = 5, level2 = 50)           1            1    0     1
## 172 list(level1 = 5, level2 = 50)           1            1    1     1
## 173 list(level1 = 5, level2 = 50)           1            1    2     1
## 174 list(level1 = 5, level2 = 50)           1            1    3     1
## 175 list(level1 = 5, level2 = 50)           1            1    4     1
## 176 list(level1 = 5, level2 = 50)           1            1    0     1
## 177 list(level1 = 5, level2 = 50)           1            1    1     1
## 178 list(level1 = 5, level2 = 50)           1            1    2     1
## 179 list(level1 = 5, level2 = 50)           1            1    3     1
## 180 list(level1 = 5, level2 = 50)           1            1    4     1
## 181 list(level1 = 5, level2 = 50)           1            1    0     1
## 182 list(level1 = 5, level2 = 50)           1            1    1     1
## 183 list(level1 = 5, level2 = 50)           1            1    2     1
## 184 list(level1 = 5, level2 = 50)           1            1    3     1
## 185 list(level1 = 5, level2 = 50)           1            1    4     1
## 186 list(level1 = 5, level2 = 50)           1            1    0     1
## 187 list(level1 = 5, level2 = 50)           1            1    1     1
## 188 list(level1 = 5, level2 = 50)           1            1    2     1
## 189 list(level1 = 5, level2 = 50)           1            1    3     1
## 190 list(level1 = 5, level2 = 50)           1            1    4     1
## 191 list(level1 = 5, level2 = 50)           1            1    0     1
## 192 list(level1 = 5, level2 = 50)           1            1    1     1
## 193 list(level1 = 5, level2 = 50)           1            1    2     1
## 194 list(level1 = 5, level2 = 50)           1            1    3     1
## 195 list(level1 = 5, level2 = 50)           1            1    4     1
## 196 list(level1 = 5, level2 = 50)           1            1    0     1
## 197 list(level1 = 5, level2 = 50)           1            1    1     1
## 198 list(level1 = 5, level2 = 50)           1            1    2     1
## 199 list(level1 = 5, level2 = 50)           1            1    3     1
## 200 list(level1 = 5, level2 = 50)           1            1    4     1
## 201 list(level1 = 5, level2 = 50)           1            1    0     1
## 202 list(level1 = 5, level2 = 50)           1            1    1     1
## 203 list(level1 = 5, level2 = 50)           1            1    2     1
## 204 list(level1 = 5, level2 = 50)           1            1    3     1
## 205 list(level1 = 5, level2 = 50)           1            1    4     1
## 206 list(level1 = 5, level2 = 50)           1            1    0     1
## 207 list(level1 = 5, level2 = 50)           1            1    1     1
## 208 list(level1 = 5, level2 = 50)           1            1    2     1
## 209 list(level1 = 5, level2 = 50)           1            1    3     1
## 210 list(level1 = 5, level2 = 50)           1            1    4     1
## 211 list(level1 = 5, level2 = 50)           1            1    0     1
## 212 list(level1 = 5, level2 = 50)           1            1    1     1
## 213 list(level1 = 5, level2 = 50)           1            1    2     1
## 214 list(level1 = 5, level2 = 50)           1            1    3     1
## 215 list(level1 = 5, level2 = 50)           1            1    4     1
## 216 list(level1 = 5, level2 = 50)           1            1    0     1
## 217 list(level1 = 5, level2 = 50)           1            1    1     1
## 218 list(level1 = 5, level2 = 50)           1            1    2     1
## 219 list(level1 = 5, level2 = 50)           1            1    3     1
## 220 list(level1 = 5, level2 = 50)           1            1    4     1
## 221 list(level1 = 5, level2 = 50)           1            1    0     0
## 222 list(level1 = 5, level2 = 50)           1            1    1     0
## 223 list(level1 = 5, level2 = 50)           1            1    2     0
## 224 list(level1 = 5, level2 = 50)           1            1    3     0
## 225 list(level1 = 5, level2 = 50)           1            1    4     0
## 226 list(level1 = 5, level2 = 50)           1            1    0     0
## 227 list(level1 = 5, level2 = 50)           1            1    1     0
## 228 list(level1 = 5, level2 = 50)           1            1    2     0
## 229 list(level1 = 5, level2 = 50)           1            1    3     0
## 230 list(level1 = 5, level2 = 50)           1            1    4     0
## 231 list(level1 = 5, level2 = 50)           1            1    0     1
## 232 list(level1 = 5, level2 = 50)           1            1    1     1
## 233 list(level1 = 5, level2 = 50)           1            1    2     1
## 234 list(level1 = 5, level2 = 50)           1            1    3     1
## 235 list(level1 = 5, level2 = 50)           1            1    4     1
## 236 list(level1 = 5, level2 = 50)           1            1    0     0
## 237 list(level1 = 5, level2 = 50)           1            1    1     0
## 238 list(level1 = 5, level2 = 50)           1            1    2     0
## 239 list(level1 = 5, level2 = 50)           1            1    3     0
## 240 list(level1 = 5, level2 = 50)           1            1    4     0
## 241 list(level1 = 5, level2 = 50)           1            1    0     1
## 242 list(level1 = 5, level2 = 50)           1            1    1     1
## 243 list(level1 = 5, level2 = 50)           1            1    2     1
## 244 list(level1 = 5, level2 = 50)           1            1    3     1
## 245 list(level1 = 5, level2 = 50)           1            1    4     1
## 246 list(level1 = 5, level2 = 50)           1            1    0     1
## 247 list(level1 = 5, level2 = 50)           1            1    1     1
## 248 list(level1 = 5, level2 = 50)           1            1    2     1
## 249 list(level1 = 5, level2 = 50)           1            1    3     1
## 250 list(level1 = 5, level2 = 50)           1            1    4     1
## 251 list(level1 = 5, level2 = 50)           2            1    0     1
## 252 list(level1 = 5, level2 = 50)           2            1    1     1
## 253 list(level1 = 5, level2 = 50)           2            1    2     1
## 254 list(level1 = 5, level2 = 50)           2            1    3     1
## 255 list(level1 = 5, level2 = 50)           2            1    4     1
## 256 list(level1 = 5, level2 = 50)           2            1    0     1
## 257 list(level1 = 5, level2 = 50)           2            1    1     1
## 258 list(level1 = 5, level2 = 50)           2            1    2     1
## 259 list(level1 = 5, level2 = 50)           2            1    3     1
## 260 list(level1 = 5, level2 = 50)           2            1    4     1
## 261 list(level1 = 5, level2 = 50)           2            1    0     0
## 262 list(level1 = 5, level2 = 50)           2            1    1     0
## 263 list(level1 = 5, level2 = 50)           2            1    2     0
## 264 list(level1 = 5, level2 = 50)           2            1    3     0
## 265 list(level1 = 5, level2 = 50)           2            1    4     0
## 266 list(level1 = 5, level2 = 50)           2            1    0     1
## 267 list(level1 = 5, level2 = 50)           2            1    1     1
## 268 list(level1 = 5, level2 = 50)           2            1    2     1
## 269 list(level1 = 5, level2 = 50)           2            1    3     1
## 270 list(level1 = 5, level2 = 50)           2            1    4     1
## 271 list(level1 = 5, level2 = 50)           2            1    0     1
## 272 list(level1 = 5, level2 = 50)           2            1    1     1
## 273 list(level1 = 5, level2 = 50)           2            1    2     1
## 274 list(level1 = 5, level2 = 50)           2            1    3     1
## 275 list(level1 = 5, level2 = 50)           2            1    4     1
## 276 list(level1 = 5, level2 = 50)           2            1    0     0
## 277 list(level1 = 5, level2 = 50)           2            1    1     0
## 278 list(level1 = 5, level2 = 50)           2            1    2     0
## 279 list(level1 = 5, level2 = 50)           2            1    3     0
## 280 list(level1 = 5, level2 = 50)           2            1    4     0
## 281 list(level1 = 5, level2 = 50)           2            1    0     1
## 282 list(level1 = 5, level2 = 50)           2            1    1     1
## 283 list(level1 = 5, level2 = 50)           2            1    2     1
## 284 list(level1 = 5, level2 = 50)           2            1    3     1
## 285 list(level1 = 5, level2 = 50)           2            1    4     1
## 286 list(level1 = 5, level2 = 50)           2            1    0     1
## 287 list(level1 = 5, level2 = 50)           2            1    1     1
## 288 list(level1 = 5, level2 = 50)           2            1    2     1
## 289 list(level1 = 5, level2 = 50)           2            1    3     1
## 290 list(level1 = 5, level2 = 50)           2            1    4     1
## 291 list(level1 = 5, level2 = 50)           2            1    0     1
## 292 list(level1 = 5, level2 = 50)           2            1    1     1
## 293 list(level1 = 5, level2 = 50)           2            1    2     1
## 294 list(level1 = 5, level2 = 50)           2            1    3     1
## 295 list(level1 = 5, level2 = 50)           2            1    4     1
## 296 list(level1 = 5, level2 = 50)           2            1    0     0
## 297 list(level1 = 5, level2 = 50)           2            1    1     0
## 298 list(level1 = 5, level2 = 50)           2            1    2     0
## 299 list(level1 = 5, level2 = 50)           2            1    3     0
## 300 list(level1 = 5, level2 = 50)           2            1    4     0
## 301 list(level1 = 5, level2 = 50)           2            1    0     1
## 302 list(level1 = 5, level2 = 50)           2            1    1     1
## 303 list(level1 = 5, level2 = 50)           2            1    2     1
## 304 list(level1 = 5, level2 = 50)           2            1    3     1
## 305 list(level1 = 5, level2 = 50)           2            1    4     1
## 306 list(level1 = 5, level2 = 50)           2            1    0     0
## 307 list(level1 = 5, level2 = 50)           2            1    1     0
## 308 list(level1 = 5, level2 = 50)           2            1    2     0
## 309 list(level1 = 5, level2 = 50)           2            1    3     0
## 310 list(level1 = 5, level2 = 50)           2            1    4     0
## 311 list(level1 = 5, level2 = 50)           2            1    0     1
## 312 list(level1 = 5, level2 = 50)           2            1    1     1
## 313 list(level1 = 5, level2 = 50)           2            1    2     1
## 314 list(level1 = 5, level2 = 50)           2            1    3     1
## 315 list(level1 = 5, level2 = 50)           2            1    4     1
## 316 list(level1 = 5, level2 = 50)           2            1    0     0
## 317 list(level1 = 5, level2 = 50)           2            1    1     0
## 318 list(level1 = 5, level2 = 50)           2            1    2     0
## 319 list(level1 = 5, level2 = 50)           2            1    3     0
## 320 list(level1 = 5, level2 = 50)           2            1    4     0
## 321 list(level1 = 5, level2 = 50)           2            1    0     1
## 322 list(level1 = 5, level2 = 50)           2            1    1     1
## 323 list(level1 = 5, level2 = 50)           2            1    2     1
## 324 list(level1 = 5, level2 = 50)           2            1    3     1
## 325 list(level1 = 5, level2 = 50)           2            1    4     1
## 326 list(level1 = 5, level2 = 50)           2            1    0     1
## 327 list(level1 = 5, level2 = 50)           2            1    1     1
## 328 list(level1 = 5, level2 = 50)           2            1    2     1
## 329 list(level1 = 5, level2 = 50)           2            1    3     1
## 330 list(level1 = 5, level2 = 50)           2            1    4     1
## 331 list(level1 = 5, level2 = 50)           2            1    0     0
## 332 list(level1 = 5, level2 = 50)           2            1    1     0
## 333 list(level1 = 5, level2 = 50)           2            1    2     0
## 334 list(level1 = 5, level2 = 50)           2            1    3     0
## 335 list(level1 = 5, level2 = 50)           2            1    4     0
## 336 list(level1 = 5, level2 = 50)           2            1    0     1
## 337 list(level1 = 5, level2 = 50)           2            1    1     1
## 338 list(level1 = 5, level2 = 50)           2            1    2     1
## 339 list(level1 = 5, level2 = 50)           2            1    3     1
## 340 list(level1 = 5, level2 = 50)           2            1    4     1
## 341 list(level1 = 5, level2 = 50)           2            1    0     0
## 342 list(level1 = 5, level2 = 50)           2            1    1     0
## 343 list(level1 = 5, level2 = 50)           2            1    2     0
## 344 list(level1 = 5, level2 = 50)           2            1    3     0
## 345 list(level1 = 5, level2 = 50)           2            1    4     0
## 346 list(level1 = 5, level2 = 50)           2            1    0     1
## 347 list(level1 = 5, level2 = 50)           2            1    1     1
## 348 list(level1 = 5, level2 = 50)           2            1    2     1
## 349 list(level1 = 5, level2 = 50)           2            1    3     1
## 350 list(level1 = 5, level2 = 50)           2            1    4     1
## 351 list(level1 = 5, level2 = 50)           2            1    0     1
## 352 list(level1 = 5, level2 = 50)           2            1    1     1
## 353 list(level1 = 5, level2 = 50)           2            1    2     1
## 354 list(level1 = 5, level2 = 50)           2            1    3     1
## 355 list(level1 = 5, level2 = 50)           2            1    4     1
## 356 list(level1 = 5, level2 = 50)           2            1    0     0
## 357 list(level1 = 5, level2 = 50)           2            1    1     0
## 358 list(level1 = 5, level2 = 50)           2            1    2     0
## 359 list(level1 = 5, level2 = 50)           2            1    3     0
## 360 list(level1 = 5, level2 = 50)           2            1    4     0
## 361 list(level1 = 5, level2 = 50)           2            1    0     0
## 362 list(level1 = 5, level2 = 50)           2            1    1     0
## 363 list(level1 = 5, level2 = 50)           2            1    2     0
## 364 list(level1 = 5, level2 = 50)           2            1    3     0
## 365 list(level1 = 5, level2 = 50)           2            1    4     0
## 366 list(level1 = 5, level2 = 50)           2            1    0     0
## 367 list(level1 = 5, level2 = 50)           2            1    1     0
## 368 list(level1 = 5, level2 = 50)           2            1    2     0
## 369 list(level1 = 5, level2 = 50)           2            1    3     0
## 370 list(level1 = 5, level2 = 50)           2            1    4     0
## 371 list(level1 = 5, level2 = 50)           2            1    0     0
## 372 list(level1 = 5, level2 = 50)           2            1    1     0
## 373 list(level1 = 5, level2 = 50)           2            1    2     0
## 374 list(level1 = 5, level2 = 50)           2            1    3     0
## 375 list(level1 = 5, level2 = 50)           2            1    4     0
## 376 list(level1 = 5, level2 = 50)           2            1    0     1
## 377 list(level1 = 5, level2 = 50)           2            1    1     1
## 378 list(level1 = 5, level2 = 50)           2            1    2     1
## 379 list(level1 = 5, level2 = 50)           2            1    3     1
## 380 list(level1 = 5, level2 = 50)           2            1    4     1
## 381 list(level1 = 5, level2 = 50)           2            1    0     0
## 382 list(level1 = 5, level2 = 50)           2            1    1     0
## 383 list(level1 = 5, level2 = 50)           2            1    2     0
## 384 list(level1 = 5, level2 = 50)           2            1    3     0
## 385 list(level1 = 5, level2 = 50)           2            1    4     0
## 386 list(level1 = 5, level2 = 50)           2            1    0     0
## 387 list(level1 = 5, level2 = 50)           2            1    1     0
## 388 list(level1 = 5, level2 = 50)           2            1    2     0
## 389 list(level1 = 5, level2 = 50)           2            1    3     0
## 390 list(level1 = 5, level2 = 50)           2            1    4     0
## 391 list(level1 = 5, level2 = 50)           2            1    0     1
## 392 list(level1 = 5, level2 = 50)           2            1    1     1
## 393 list(level1 = 5, level2 = 50)           2            1    2     1
## 394 list(level1 = 5, level2 = 50)           2            1    3     1
## 395 list(level1 = 5, level2 = 50)           2            1    4     1
## 396 list(level1 = 5, level2 = 50)           2            1    0     1
## 397 list(level1 = 5, level2 = 50)           2            1    1     1
## 398 list(level1 = 5, level2 = 50)           2            1    2     1
## 399 list(level1 = 5, level2 = 50)           2            1    3     1
## 400 list(level1 = 5, level2 = 50)           2            1    4     1
## 401 list(level1 = 5, level2 = 50)           2            1    0     0
## 402 list(level1 = 5, level2 = 50)           2            1    1     0
## 403 list(level1 = 5, level2 = 50)           2            1    2     0
## 404 list(level1 = 5, level2 = 50)           2            1    3     0
## 405 list(level1 = 5, level2 = 50)           2            1    4     0
## 406 list(level1 = 5, level2 = 50)           2            1    0     1
## 407 list(level1 = 5, level2 = 50)           2            1    1     1
## 408 list(level1 = 5, level2 = 50)           2            1    2     1
## 409 list(level1 = 5, level2 = 50)           2            1    3     1
## 410 list(level1 = 5, level2 = 50)           2            1    4     1
## 411 list(level1 = 5, level2 = 50)           2            1    0     0
## 412 list(level1 = 5, level2 = 50)           2            1    1     0
## 413 list(level1 = 5, level2 = 50)           2            1    2     0
## 414 list(level1 = 5, level2 = 50)           2            1    3     0
## 415 list(level1 = 5, level2 = 50)           2            1    4     0
## 416 list(level1 = 5, level2 = 50)           2            1    0     0
## 417 list(level1 = 5, level2 = 50)           2            1    1     0
## 418 list(level1 = 5, level2 = 50)           2            1    2     0
## 419 list(level1 = 5, level2 = 50)           2            1    3     0
## 420 list(level1 = 5, level2 = 50)           2            1    4     0
## 421 list(level1 = 5, level2 = 50)           2            1    0     0
## 422 list(level1 = 5, level2 = 50)           2            1    1     0
## 423 list(level1 = 5, level2 = 50)           2            1    2     0
## 424 list(level1 = 5, level2 = 50)           2            1    3     0
## 425 list(level1 = 5, level2 = 50)           2            1    4     0
## 426 list(level1 = 5, level2 = 50)           2            1    0     1
## 427 list(level1 = 5, level2 = 50)           2            1    1     1
## 428 list(level1 = 5, level2 = 50)           2            1    2     1
## 429 list(level1 = 5, level2 = 50)           2            1    3     1
## 430 list(level1 = 5, level2 = 50)           2            1    4     1
## 431 list(level1 = 5, level2 = 50)           2            1    0     0
## 432 list(level1 = 5, level2 = 50)           2            1    1     0
## 433 list(level1 = 5, level2 = 50)           2            1    2     0
## 434 list(level1 = 5, level2 = 50)           2            1    3     0
## 435 list(level1 = 5, level2 = 50)           2            1    4     0
## 436 list(level1 = 5, level2 = 50)           2            1    0     1
## 437 list(level1 = 5, level2 = 50)           2            1    1     1
## 438 list(level1 = 5, level2 = 50)           2            1    2     1
## 439 list(level1 = 5, level2 = 50)           2            1    3     1
## 440 list(level1 = 5, level2 = 50)           2            1    4     1
## 441 list(level1 = 5, level2 = 50)           2            1    0     1
## 442 list(level1 = 5, level2 = 50)           2            1    1     1
## 443 list(level1 = 5, level2 = 50)           2            1    2     1
## 444 list(level1 = 5, level2 = 50)           2            1    3     1
## 445 list(level1 = 5, level2 = 50)           2            1    4     1
## 446 list(level1 = 5, level2 = 50)           2            1    0     1
## 447 list(level1 = 5, level2 = 50)           2            1    1     1
## 448 list(level1 = 5, level2 = 50)           2            1    2     1
## 449 list(level1 = 5, level2 = 50)           2            1    3     1
## 450 list(level1 = 5, level2 = 50)           2            1    4     1
## 451 list(level1 = 5, level2 = 50)           2            1    0     0
## 452 list(level1 = 5, level2 = 50)           2            1    1     0
## 453 list(level1 = 5, level2 = 50)           2            1    2     0
## 454 list(level1 = 5, level2 = 50)           2            1    3     0
## 455 list(level1 = 5, level2 = 50)           2            1    4     0
## 456 list(level1 = 5, level2 = 50)           2            1    0     0
## 457 list(level1 = 5, level2 = 50)           2            1    1     0
## 458 list(level1 = 5, level2 = 50)           2            1    2     0
## 459 list(level1 = 5, level2 = 50)           2            1    3     0
## 460 list(level1 = 5, level2 = 50)           2            1    4     0
## 461 list(level1 = 5, level2 = 50)           2            1    0     0
## 462 list(level1 = 5, level2 = 50)           2            1    1     0
## 463 list(level1 = 5, level2 = 50)           2            1    2     0
## 464 list(level1 = 5, level2 = 50)           2            1    3     0
## 465 list(level1 = 5, level2 = 50)           2            1    4     0
## 466 list(level1 = 5, level2 = 50)           2            1    0     0
## 467 list(level1 = 5, level2 = 50)           2            1    1     0
## 468 list(level1 = 5, level2 = 50)           2            1    2     0
## 469 list(level1 = 5, level2 = 50)           2            1    3     0
## 470 list(level1 = 5, level2 = 50)           2            1    4     0
## 471 list(level1 = 5, level2 = 50)           2            1    0     0
## 472 list(level1 = 5, level2 = 50)           2            1    1     0
## 473 list(level1 = 5, level2 = 50)           2            1    2     0
## 474 list(level1 = 5, level2 = 50)           2            1    3     0
## 475 list(level1 = 5, level2 = 50)           2            1    4     0
## 476 list(level1 = 5, level2 = 50)           2            1    0     0
## 477 list(level1 = 5, level2 = 50)           2            1    1     0
## 478 list(level1 = 5, level2 = 50)           2            1    2     0
## 479 list(level1 = 5, level2 = 50)           2            1    3     0
## 480 list(level1 = 5, level2 = 50)           2            1    4     0
## 481 list(level1 = 5, level2 = 50)           2            1    0     0
## 482 list(level1 = 5, level2 = 50)           2            1    1     0
## 483 list(level1 = 5, level2 = 50)           2            1    2     0
## 484 list(level1 = 5, level2 = 50)           2            1    3     0
## 485 list(level1 = 5, level2 = 50)           2            1    4     0
## 486 list(level1 = 5, level2 = 50)           2            1    0     1
## 487 list(level1 = 5, level2 = 50)           2            1    1     1
## 488 list(level1 = 5, level2 = 50)           2            1    2     1
## 489 list(level1 = 5, level2 = 50)           2            1    3     1
## 490 list(level1 = 5, level2 = 50)           2            1    4     1
## 491 list(level1 = 5, level2 = 50)           2            1    0     1
## 492 list(level1 = 5, level2 = 50)           2            1    1     1
## 493 list(level1 = 5, level2 = 50)           2            1    2     1
## 494 list(level1 = 5, level2 = 50)           2            1    3     1
## 495 list(level1 = 5, level2 = 50)           2            1    4     1
## 496 list(level1 = 5, level2 = 50)           2            1    0     1
## 497 list(level1 = 5, level2 = 50)           2            1    1     1
## 498 list(level1 = 5, level2 = 50)           2            1    2     1
## 499 list(level1 = 5, level2 = 50)           2            1    3     1
## 500 list(level1 = 5, level2 = 50)           2            1    4     1
## 501 list(level1 = 5, level2 = 50)           3            1    0     1
## 502 list(level1 = 5, level2 = 50)           3            1    1     1
## 503 list(level1 = 5, level2 = 50)           3            1    2     1
## 504 list(level1 = 5, level2 = 50)           3            1    3     1
## 505 list(level1 = 5, level2 = 50)           3            1    4     1
## 506 list(level1 = 5, level2 = 50)           3            1    0     1
## 507 list(level1 = 5, level2 = 50)           3            1    1     1
## 508 list(level1 = 5, level2 = 50)           3            1    2     1
## 509 list(level1 = 5, level2 = 50)           3            1    3     1
## 510 list(level1 = 5, level2 = 50)           3            1    4     1
## 511 list(level1 = 5, level2 = 50)           3            1    0     1
## 512 list(level1 = 5, level2 = 50)           3            1    1     1
## 513 list(level1 = 5, level2 = 50)           3            1    2     1
## 514 list(level1 = 5, level2 = 50)           3            1    3     1
## 515 list(level1 = 5, level2 = 50)           3            1    4     1
## 516 list(level1 = 5, level2 = 50)           3            1    0     1
## 517 list(level1 = 5, level2 = 50)           3            1    1     1
## 518 list(level1 = 5, level2 = 50)           3            1    2     1
## 519 list(level1 = 5, level2 = 50)           3            1    3     1
## 520 list(level1 = 5, level2 = 50)           3            1    4     1
## 521 list(level1 = 5, level2 = 50)           3            1    0     0
## 522 list(level1 = 5, level2 = 50)           3            1    1     0
## 523 list(level1 = 5, level2 = 50)           3            1    2     0
## 524 list(level1 = 5, level2 = 50)           3            1    3     0
## 525 list(level1 = 5, level2 = 50)           3            1    4     0
## 526 list(level1 = 5, level2 = 50)           3            1    0     1
## 527 list(level1 = 5, level2 = 50)           3            1    1     1
## 528 list(level1 = 5, level2 = 50)           3            1    2     1
## 529 list(level1 = 5, level2 = 50)           3            1    3     1
## 530 list(level1 = 5, level2 = 50)           3            1    4     1
## 531 list(level1 = 5, level2 = 50)           3            1    0     1
## 532 list(level1 = 5, level2 = 50)           3            1    1     1
## 533 list(level1 = 5, level2 = 50)           3            1    2     1
## 534 list(level1 = 5, level2 = 50)           3            1    3     1
## 535 list(level1 = 5, level2 = 50)           3            1    4     1
## 536 list(level1 = 5, level2 = 50)           3            1    0     0
## 537 list(level1 = 5, level2 = 50)           3            1    1     0
## 538 list(level1 = 5, level2 = 50)           3            1    2     0
## 539 list(level1 = 5, level2 = 50)           3            1    3     0
## 540 list(level1 = 5, level2 = 50)           3            1    4     0
## 541 list(level1 = 5, level2 = 50)           3            1    0     0
## 542 list(level1 = 5, level2 = 50)           3            1    1     0
## 543 list(level1 = 5, level2 = 50)           3            1    2     0
## 544 list(level1 = 5, level2 = 50)           3            1    3     0
## 545 list(level1 = 5, level2 = 50)           3            1    4     0
## 546 list(level1 = 5, level2 = 50)           3            1    0     1
## 547 list(level1 = 5, level2 = 50)           3            1    1     1
## 548 list(level1 = 5, level2 = 50)           3            1    2     1
## 549 list(level1 = 5, level2 = 50)           3            1    3     1
## 550 list(level1 = 5, level2 = 50)           3            1    4     1
## 551 list(level1 = 5, level2 = 50)           3            1    0     1
## 552 list(level1 = 5, level2 = 50)           3            1    1     1
## 553 list(level1 = 5, level2 = 50)           3            1    2     1
## 554 list(level1 = 5, level2 = 50)           3            1    3     1
## 555 list(level1 = 5, level2 = 50)           3            1    4     1
## 556 list(level1 = 5, level2 = 50)           3            1    0     1
## 557 list(level1 = 5, level2 = 50)           3            1    1     1
## 558 list(level1 = 5, level2 = 50)           3            1    2     1
## 559 list(level1 = 5, level2 = 50)           3            1    3     1
## 560 list(level1 = 5, level2 = 50)           3            1    4     1
## 561 list(level1 = 5, level2 = 50)           3            1    0     1
## 562 list(level1 = 5, level2 = 50)           3            1    1     1
## 563 list(level1 = 5, level2 = 50)           3            1    2     1
## 564 list(level1 = 5, level2 = 50)           3            1    3     1
## 565 list(level1 = 5, level2 = 50)           3            1    4     1
## 566 list(level1 = 5, level2 = 50)           3            1    0     1
## 567 list(level1 = 5, level2 = 50)           3            1    1     1
## 568 list(level1 = 5, level2 = 50)           3            1    2     1
## 569 list(level1 = 5, level2 = 50)           3            1    3     1
## 570 list(level1 = 5, level2 = 50)           3            1    4     1
## 571 list(level1 = 5, level2 = 50)           3            1    0     0
## 572 list(level1 = 5, level2 = 50)           3            1    1     0
## 573 list(level1 = 5, level2 = 50)           3            1    2     0
## 574 list(level1 = 5, level2 = 50)           3            1    3     0
## 575 list(level1 = 5, level2 = 50)           3            1    4     0
## 576 list(level1 = 5, level2 = 50)           3            1    0     0
## 577 list(level1 = 5, level2 = 50)           3            1    1     0
## 578 list(level1 = 5, level2 = 50)           3            1    2     0
## 579 list(level1 = 5, level2 = 50)           3            1    3     0
## 580 list(level1 = 5, level2 = 50)           3            1    4     0
## 581 list(level1 = 5, level2 = 50)           3            1    0     1
## 582 list(level1 = 5, level2 = 50)           3            1    1     1
## 583 list(level1 = 5, level2 = 50)           3            1    2     1
## 584 list(level1 = 5, level2 = 50)           3            1    3     1
## 585 list(level1 = 5, level2 = 50)           3            1    4     1
## 586 list(level1 = 5, level2 = 50)           3            1    0     1
## 587 list(level1 = 5, level2 = 50)           3            1    1     1
## 588 list(level1 = 5, level2 = 50)           3            1    2     1
## 589 list(level1 = 5, level2 = 50)           3            1    3     1
## 590 list(level1 = 5, level2 = 50)           3            1    4     1
## 591 list(level1 = 5, level2 = 50)           3            1    0     0
## 592 list(level1 = 5, level2 = 50)           3            1    1     0
## 593 list(level1 = 5, level2 = 50)           3            1    2     0
## 594 list(level1 = 5, level2 = 50)           3            1    3     0
## 595 list(level1 = 5, level2 = 50)           3            1    4     0
## 596 list(level1 = 5, level2 = 50)           3            1    0     1
## 597 list(level1 = 5, level2 = 50)           3            1    1     1
## 598 list(level1 = 5, level2 = 50)           3            1    2     1
## 599 list(level1 = 5, level2 = 50)           3            1    3     1
## 600 list(level1 = 5, level2 = 50)           3            1    4     1
## 601 list(level1 = 5, level2 = 50)           3            1    0     1
## 602 list(level1 = 5, level2 = 50)           3            1    1     1
## 603 list(level1 = 5, level2 = 50)           3            1    2     1
## 604 list(level1 = 5, level2 = 50)           3            1    3     1
## 605 list(level1 = 5, level2 = 50)           3            1    4     1
## 606 list(level1 = 5, level2 = 50)           3            1    0     0
## 607 list(level1 = 5, level2 = 50)           3            1    1     0
## 608 list(level1 = 5, level2 = 50)           3            1    2     0
## 609 list(level1 = 5, level2 = 50)           3            1    3     0
## 610 list(level1 = 5, level2 = 50)           3            1    4     0
## 611 list(level1 = 5, level2 = 50)           3            1    0     1
## 612 list(level1 = 5, level2 = 50)           3            1    1     1
## 613 list(level1 = 5, level2 = 50)           3            1    2     1
## 614 list(level1 = 5, level2 = 50)           3            1    3     1
## 615 list(level1 = 5, level2 = 50)           3            1    4     1
## 616 list(level1 = 5, level2 = 50)           3            1    0     0
## 617 list(level1 = 5, level2 = 50)           3            1    1     0
## 618 list(level1 = 5, level2 = 50)           3            1    2     0
## 619 list(level1 = 5, level2 = 50)           3            1    3     0
## 620 list(level1 = 5, level2 = 50)           3            1    4     0
## 621 list(level1 = 5, level2 = 50)           3            1    0     1
## 622 list(level1 = 5, level2 = 50)           3            1    1     1
## 623 list(level1 = 5, level2 = 50)           3            1    2     1
## 624 list(level1 = 5, level2 = 50)           3            1    3     1
## 625 list(level1 = 5, level2 = 50)           3            1    4     1
## 626 list(level1 = 5, level2 = 50)           3            1    0     0
## 627 list(level1 = 5, level2 = 50)           3            1    1     0
## 628 list(level1 = 5, level2 = 50)           3            1    2     0
## 629 list(level1 = 5, level2 = 50)           3            1    3     0
## 630 list(level1 = 5, level2 = 50)           3            1    4     0
## 631 list(level1 = 5, level2 = 50)           3            1    0     1
## 632 list(level1 = 5, level2 = 50)           3            1    1     1
## 633 list(level1 = 5, level2 = 50)           3            1    2     1
## 634 list(level1 = 5, level2 = 50)           3            1    3     1
## 635 list(level1 = 5, level2 = 50)           3            1    4     1
## 636 list(level1 = 5, level2 = 50)           3            1    0     1
## 637 list(level1 = 5, level2 = 50)           3            1    1     1
## 638 list(level1 = 5, level2 = 50)           3            1    2     1
## 639 list(level1 = 5, level2 = 50)           3            1    3     1
## 640 list(level1 = 5, level2 = 50)           3            1    4     1
## 641 list(level1 = 5, level2 = 50)           3            1    0     0
## 642 list(level1 = 5, level2 = 50)           3            1    1     0
## 643 list(level1 = 5, level2 = 50)           3            1    2     0
## 644 list(level1 = 5, level2 = 50)           3            1    3     0
## 645 list(level1 = 5, level2 = 50)           3            1    4     0
## 646 list(level1 = 5, level2 = 50)           3            1    0     0
## 647 list(level1 = 5, level2 = 50)           3            1    1     0
## 648 list(level1 = 5, level2 = 50)           3            1    2     0
## 649 list(level1 = 5, level2 = 50)           3            1    3     0
## 650 list(level1 = 5, level2 = 50)           3            1    4     0
## 651 list(level1 = 5, level2 = 50)           3            1    0     0
## 652 list(level1 = 5, level2 = 50)           3            1    1     0
## 653 list(level1 = 5, level2 = 50)           3            1    2     0
## 654 list(level1 = 5, level2 = 50)           3            1    3     0
## 655 list(level1 = 5, level2 = 50)           3            1    4     0
## 656 list(level1 = 5, level2 = 50)           3            1    0     0
## 657 list(level1 = 5, level2 = 50)           3            1    1     0
## 658 list(level1 = 5, level2 = 50)           3            1    2     0
## 659 list(level1 = 5, level2 = 50)           3            1    3     0
## 660 list(level1 = 5, level2 = 50)           3            1    4     0
## 661 list(level1 = 5, level2 = 50)           3            1    0     1
## 662 list(level1 = 5, level2 = 50)           3            1    1     1
## 663 list(level1 = 5, level2 = 50)           3            1    2     1
## 664 list(level1 = 5, level2 = 50)           3            1    3     1
## 665 list(level1 = 5, level2 = 50)           3            1    4     1
## 666 list(level1 = 5, level2 = 50)           3            1    0     1
## 667 list(level1 = 5, level2 = 50)           3            1    1     1
## 668 list(level1 = 5, level2 = 50)           3            1    2     1
## 669 list(level1 = 5, level2 = 50)           3            1    3     1
## 670 list(level1 = 5, level2 = 50)           3            1    4     1
## 671 list(level1 = 5, level2 = 50)           3            1    0     1
## 672 list(level1 = 5, level2 = 50)           3            1    1     1
## 673 list(level1 = 5, level2 = 50)           3            1    2     1
## 674 list(level1 = 5, level2 = 50)           3            1    3     1
## 675 list(level1 = 5, level2 = 50)           3            1    4     1
## 676 list(level1 = 5, level2 = 50)           3            1    0     1
## 677 list(level1 = 5, level2 = 50)           3            1    1     1
## 678 list(level1 = 5, level2 = 50)           3            1    2     1
## 679 list(level1 = 5, level2 = 50)           3            1    3     1
## 680 list(level1 = 5, level2 = 50)           3            1    4     1
## 681 list(level1 = 5, level2 = 50)           3            1    0     1
## 682 list(level1 = 5, level2 = 50)           3            1    1     1
## 683 list(level1 = 5, level2 = 50)           3            1    2     1
## 684 list(level1 = 5, level2 = 50)           3            1    3     1
## 685 list(level1 = 5, level2 = 50)           3            1    4     1
## 686 list(level1 = 5, level2 = 50)           3            1    0     1
## 687 list(level1 = 5, level2 = 50)           3            1    1     1
## 688 list(level1 = 5, level2 = 50)           3            1    2     1
## 689 list(level1 = 5, level2 = 50)           3            1    3     1
## 690 list(level1 = 5, level2 = 50)           3            1    4     1
## 691 list(level1 = 5, level2 = 50)           3            1    0     1
## 692 list(level1 = 5, level2 = 50)           3            1    1     1
## 693 list(level1 = 5, level2 = 50)           3            1    2     1
## 694 list(level1 = 5, level2 = 50)           3            1    3     1
## 695 list(level1 = 5, level2 = 50)           3            1    4     1
## 696 list(level1 = 5, level2 = 50)           3            1    0     0
## 697 list(level1 = 5, level2 = 50)           3            1    1     0
## 698 list(level1 = 5, level2 = 50)           3            1    2     0
## 699 list(level1 = 5, level2 = 50)           3            1    3     0
## 700 list(level1 = 5, level2 = 50)           3            1    4     0
## 701 list(level1 = 5, level2 = 50)           3            1    0     0
## 702 list(level1 = 5, level2 = 50)           3            1    1     0
## 703 list(level1 = 5, level2 = 50)           3            1    2     0
## 704 list(level1 = 5, level2 = 50)           3            1    3     0
## 705 list(level1 = 5, level2 = 50)           3            1    4     0
## 706 list(level1 = 5, level2 = 50)           3            1    0     0
## 707 list(level1 = 5, level2 = 50)           3            1    1     0
## 708 list(level1 = 5, level2 = 50)           3            1    2     0
## 709 list(level1 = 5, level2 = 50)           3            1    3     0
## 710 list(level1 = 5, level2 = 50)           3            1    4     0
## 711 list(level1 = 5, level2 = 50)           3            1    0     0
## 712 list(level1 = 5, level2 = 50)           3            1    1     0
## 713 list(level1 = 5, level2 = 50)           3            1    2     0
## 714 list(level1 = 5, level2 = 50)           3            1    3     0
## 715 list(level1 = 5, level2 = 50)           3            1    4     0
## 716 list(level1 = 5, level2 = 50)           3            1    0     1
## 717 list(level1 = 5, level2 = 50)           3            1    1     1
## 718 list(level1 = 5, level2 = 50)           3            1    2     1
## 719 list(level1 = 5, level2 = 50)           3            1    3     1
## 720 list(level1 = 5, level2 = 50)           3            1    4     1
## 721 list(level1 = 5, level2 = 50)           3            1    0     1
## 722 list(level1 = 5, level2 = 50)           3            1    1     1
## 723 list(level1 = 5, level2 = 50)           3            1    2     1
## 724 list(level1 = 5, level2 = 50)           3            1    3     1
## 725 list(level1 = 5, level2 = 50)           3            1    4     1
## 726 list(level1 = 5, level2 = 50)           3            1    0     1
## 727 list(level1 = 5, level2 = 50)           3            1    1     1
## 728 list(level1 = 5, level2 = 50)           3            1    2     1
## 729 list(level1 = 5, level2 = 50)           3            1    3     1
## 730 list(level1 = 5, level2 = 50)           3            1    4     1
## 731 list(level1 = 5, level2 = 50)           3            1    0     1
## 732 list(level1 = 5, level2 = 50)           3            1    1     1
## 733 list(level1 = 5, level2 = 50)           3            1    2     1
## 734 list(level1 = 5, level2 = 50)           3            1    3     1
## 735 list(level1 = 5, level2 = 50)           3            1    4     1
## 736 list(level1 = 5, level2 = 50)           3            1    0     1
## 737 list(level1 = 5, level2 = 50)           3            1    1     1
## 738 list(level1 = 5, level2 = 50)           3            1    2     1
## 739 list(level1 = 5, level2 = 50)           3            1    3     1
## 740 list(level1 = 5, level2 = 50)           3            1    4     1
## 741 list(level1 = 5, level2 = 50)           3            1    0     0
## 742 list(level1 = 5, level2 = 50)           3            1    1     0
## 743 list(level1 = 5, level2 = 50)           3            1    2     0
## 744 list(level1 = 5, level2 = 50)           3            1    3     0
## 745 list(level1 = 5, level2 = 50)           3            1    4     0
## 746 list(level1 = 5, level2 = 50)           3            1    0     0
## 747 list(level1 = 5, level2 = 50)           3            1    1     0
## 748 list(level1 = 5, level2 = 50)           3            1    2     0
## 749 list(level1 = 5, level2 = 50)           3            1    3     0
## 750 list(level1 = 5, level2 = 50)           3            1    4     0
##     time.trt_1     trt level1_id individual         error    int_clust
## 1            0    Drug         1          1  0.6922157611 -0.505089189
## 2            0    Drug         2          1  0.1107180992 -0.505089189
## 3            0    Drug         3          1 -2.0485433087 -0.505089189
## 4            0    Drug         4          1  1.9218359585 -0.505089189
## 5            0    Drug         5          1  0.3339728678 -0.505089189
## 6            0 Placebo         1          2  0.4726348030  0.286785348
## 7            1 Placebo         2          2 -0.6448691999  0.286785348
## 8            2 Placebo         3          2 -0.1509676126  0.286785348
## 9            3 Placebo         4          2  0.5585627547  0.286785348
## 10           4 Placebo         5          2 -0.0008348065  0.286785348
## 11           0 Placebo         1          3  0.9061110120  0.804977860
## 12           1 Placebo         2          3 -0.9174871805  0.804977860
## 13           2 Placebo         3          3 -0.4804153689  0.804977860
## 14           3 Placebo         4          3  1.6072954528  0.804977860
## 15           4 Placebo         5          3  0.5611948756  0.804977860
## 16           0    Drug         1          4  0.0693497752  0.620581619
## 17           0    Drug         2          4 -1.3604332243  0.620581619
## 18           0    Drug         3          4 -1.2196806281  0.620581619
## 19           0    Drug         4          4  1.0119804895  0.620581619
## 20           0    Drug         5          4  1.3485813273  0.620581619
## 21           0    Drug         1          5  1.8392943667 -0.821845197
## 22           0    Drug         2          5  0.0995760818 -0.821845197
## 23           0    Drug         3          5  0.5602122338 -0.821845197
## 24           0    Drug         4          5  1.4055925482 -0.821845197
## 25           0    Drug         5          5 -0.0198535334 -0.821845197
## 26           0 Placebo         1          6 -0.7450528411 -0.291666334
## 27           1 Placebo         2          6  2.0979058017 -0.291666334
## 28           2 Placebo         3          6 -0.1421934253 -0.291666334
## 29           3 Placebo         4          6  1.8501255984 -0.291666334
## 30           4 Placebo         5          6 -0.9479354939 -0.291666334
## 31           0    Drug         1          7 -2.0184270216  0.033088513
## 32           0    Drug         2          7 -1.3017677218  0.033088513
## 33           0    Drug         3          7  0.9855844172  0.033088513
## 34           0    Drug         4          7 -0.9556634136  0.033088513
## 35           0    Drug         5          7 -0.4469725735  0.033088513
## 36           0    Drug         1          8 -3.0586737449  0.647653773
## 37           0    Drug         2          8 -0.2047572523  0.647653773
## 38           0    Drug         3          8  0.7245310890  0.647653773
## 39           0    Drug         4          8  0.6048140326  0.647653773
## 40           0    Drug         5          8  0.1089929814  0.647653773
## 41           0 Placebo         1          9 -0.9558762453 -0.628210650
## 42           1 Placebo         2          9  0.2989991824 -0.628210650
## 43           2 Placebo         3          9 -0.8035775209 -0.628210650
## 44           3 Placebo         4          9 -0.3844341127 -0.628210650
## 45           4 Placebo         5          9 -0.7683365775 -0.628210650
## 46           0 Placebo         1         10  1.1181566430  0.250039383
## 47           1 Placebo         2         10 -0.0320774652  0.250039383
## 48           2 Placebo         3         10  0.0735625612  0.250039383
## 49           3 Placebo         4         10 -0.3522210255  0.250039383
## 50           4 Placebo         5         10 -0.0578494627  0.250039383
## 51           0 Placebo         1         11  0.9570753868 -0.804303272
## 52           1 Placebo         2         11  0.2275777129 -0.804303272
## 53           2 Placebo         3         11 -1.2137542771 -0.804303272
## 54           3 Placebo         4         11 -0.9832932839 -0.804303272
## 55           4 Placebo         5         11  0.9732419947 -0.804303272
## 56           0 Placebo         1         12 -1.5215772983  0.316597473
## 57           1 Placebo         2         12 -0.3838061845  0.316597473
## 58           2 Placebo         3         12  1.3810475269  0.316597473
## 59           3 Placebo         4         12  0.5424312083  0.316597473
## 60           4 Placebo         5         12 -0.6453184163  0.316597473
## 61           0 Placebo         1         13 -0.0763176774  0.025059585
## 62           1 Placebo         2         13  0.4644387660  0.025059585
## 63           2 Placebo         3         13  1.7016792004  0.025059585
## 64           3 Placebo         4         13  1.1256438452  0.025059585
## 65           4 Placebo         5         13  1.7119989806  0.025059585
## 66           0 Placebo         1         14  1.3956542220  0.434842323
## 67           1 Placebo         2         14 -0.9808044882  0.434842323
## 68           2 Placebo         3         14 -0.0230416918  0.434842323
## 69           3 Placebo         4         14 -1.5201212240  0.434842323
## 70           4 Placebo         5         14  0.0556262321  0.434842323
## 71           0 Placebo         1         15  0.0923777843 -0.088869325
## 72           1 Placebo         2         15 -0.5298235620 -0.088869325
## 73           2 Placebo         3         15  0.2265549336 -0.088869325
## 74           3 Placebo         4         15 -1.9819651432 -0.088869325
## 75           4 Placebo         5         15 -0.1475500957 -0.088869325
## 76           0 Placebo         1         16  0.6685748623  0.327263594
## 77           1 Placebo         2         16 -0.0313017762  0.327263594
## 78           2 Placebo         3         16  1.0264609647  0.327263594
## 79           3 Placebo         4         16  2.3403272527  0.327263594
## 80           4 Placebo         5         16  0.9210127705  0.327263594
## 81           0 Placebo         1         17  0.3929158541  0.046160033
## 82           1 Placebo         2         17 -0.4836455730  0.046160033
## 83           2 Placebo         3         17  0.2644634090  0.046160033
## 84           3 Placebo         4         17 -0.3733347733  0.046160033
## 85           4 Placebo         5         17  1.9144442517  0.046160033
## 86           0    Drug         1         18 -1.3890358040 -0.444703456
## 87           0    Drug         2         18 -0.3396597102 -0.444703456
## 88           0    Drug         3         18 -0.0987804988 -0.444703456
## 89           0    Drug         4         18 -0.3346900771 -0.444703456
## 90           0    Drug         5         18  2.3298289418 -0.444703456
## 91           0 Placebo         1         19 -1.4204503794 -0.728734508
## 92           1 Placebo         2         19 -0.0336728671 -0.728734508
## 93           2 Placebo         3         19 -1.2347439406 -0.728734508
## 94           3 Placebo         4         19 -1.8934533752 -0.728734508
## 95           4 Placebo         5         19  0.3521945950 -0.728734508
## 96           0    Drug         1         20  1.1792048776 -0.266463483
## 97           0    Drug         2         20 -1.2593064334 -0.266463483
## 98           0    Drug         3         20  0.0235247074 -0.266463483
## 99           0    Drug         4         20  0.6764604650 -0.266463483
## 100          0    Drug         5         20  0.4558738918 -0.266463483
## 101          0 Placebo         1         21 -0.3994689428 -0.057372672
## 102          1 Placebo         2         21 -0.0003179251 -0.057372672
## 103          2 Placebo         3         21  0.8955953906 -0.057372672
## 104          3 Placebo         4         21 -2.0631384415 -0.057372672
## 105          4 Placebo         5         21  0.0027803503 -0.057372672
## 106          0 Placebo         1         22  1.3512730789 -0.252393478
## 107          1 Placebo         2         22  0.8549841039 -0.252393478
## 108          2 Placebo         3         22 -0.9850270427 -0.252393478
## 109          3 Placebo         4         22 -0.1631640319 -0.252393478
## 110          4 Placebo         5         22 -0.9522415895 -0.252393478
## 111          0 Placebo         1         23 -0.6218610174  0.412357301
## 112          1 Placebo         2         23  2.2381103142  0.412357301
## 113          2 Placebo         3         23  1.7204602242  0.412357301
## 114          3 Placebo         4         23 -1.8434518918  0.412357301
## 115          4 Placebo         5         23  1.3841022029  0.412357301
## 116          0 Placebo         1         24  0.8043103742  0.390679950
## 117          1 Placebo         2         24  0.2953470456  0.390679950
## 118          2 Placebo         3         24  0.0354156730  0.390679950
## 119          3 Placebo         4         24 -1.2028996639  0.390679950
## 120          4 Placebo         5         24  0.3425487387  0.390679950
## 121          0 Placebo         1         25  0.4412923201  0.396100449
## 122          1 Placebo         2         25  2.1933967848  0.396100449
## 123          2 Placebo         3         25  0.2946689763  0.396100449
## 124          3 Placebo         4         25  0.5358909253  0.396100449
## 125          4 Placebo         5         25 -1.1627547432  0.396100449
## 126          0 Placebo         1         26 -1.6645810579  0.260415512
## 127          1 Placebo         2         26 -1.2822424662  0.260415512
## 128          2 Placebo         3         26 -0.9860203530  0.260415512
## 129          3 Placebo         4         26 -0.4188209155  0.260415512
## 130          4 Placebo         5         26 -0.9581315806  0.260415512
## 131          0 Placebo         1         27 -0.3044428366 -0.592569536
## 132          1 Placebo         2         27  0.3178041976 -0.592569536
## 133          2 Placebo         3         27 -1.7617925308 -0.592569536
## 134          3 Placebo         4         27  0.7815987735 -0.592569536
## 135          4 Placebo         5         27 -0.5625133078 -0.592569536
## 136          0 Placebo         1         28 -0.1439129631  0.759219136
## 137          1 Placebo         2         28  0.0622433422  0.759219136
## 138          2 Placebo         3         28 -0.0804683632  0.759219136
## 139          3 Placebo         4         28  0.3781733581  0.759219136
## 140          4 Placebo         5         28  0.4079100090  0.759219136
## 141          0 Placebo         1         29 -0.4735322367 -0.026217799
## 142          1 Placebo         2         29  0.7085452129 -0.026217799
## 143          2 Placebo         3         29 -0.2737748497 -0.026217799
## 144          3 Placebo         4         29  0.0796368135 -0.026217799
## 145          4 Placebo         5         29  0.3795565262 -0.026217799
## 146          0 Placebo         1         30  0.7295971800  0.304463997
## 147          1 Placebo         2         30  0.2730886010  0.304463997
## 148          2 Placebo         3         30  0.9631643921  0.304463997
## 149          3 Placebo         4         30 -1.5637504065  0.304463997
## 150          4 Placebo         5         30 -0.2480219445  0.304463997
## 151          0 Placebo         1         31 -0.4733937559 -0.036094941
## 152          1 Placebo         2         31  1.0551680140 -0.036094941
## 153          2 Placebo         3         31 -1.0582486486 -0.036094941
## 154          3 Placebo         4         31  1.0295554044 -0.036094941
## 155          4 Placebo         5         31 -1.0453756506 -0.036094941
## 156          0 Placebo         1         32 -0.3657639302  0.144039227
## 157          1 Placebo         2         32 -0.8949540694  0.144039227
## 158          2 Placebo         3         32  0.0502660554  0.144039227
## 159          3 Placebo         4         32 -2.0699847389  0.144039227
## 160          4 Placebo         5         32  0.9163474863  0.144039227
## 161          0    Drug         1         33  0.5319351087 -0.727452298
## 162          0    Drug         2         33  1.1599839424 -0.727452298
## 163          0    Drug         3         33  0.3989826758 -0.727452298
## 164          0    Drug         4         33 -1.2507299674 -0.727452298
## 165          0    Drug         5         33  1.1604225422 -0.727452298
## 166          0 Placebo         1         34  0.6208793861  0.173088330
## 167          1 Placebo         2         34  0.0498216720  0.173088330
## 168          2 Placebo         3         34  1.2297247381  0.173088330
## 169          3 Placebo         4         34  1.7291440757  0.173088330
## 170          4 Placebo         5         34  1.0039114606  0.173088330
## 171          0 Placebo         1         35 -0.7830382627 -0.246850310
## 172          1 Placebo         2         35  2.6263655924 -0.246850310
## 173          2 Placebo         3         35  1.0297661572 -0.246850310
## 174          3 Placebo         4         35 -0.0713328370 -0.246850310
## 175          4 Placebo         5         35  0.7121796891 -0.246850310
## 176          0 Placebo         1         36  0.1513901705 -0.213315135
## 177          1 Placebo         2         36 -2.6595134891 -0.213315135
## 178          2 Placebo         3         36 -1.1592963959 -0.213315135
## 179          3 Placebo         4         36  1.2935761013 -0.213315135
## 180          4 Placebo         5         36 -0.0783675896 -0.213315135
## 181          0 Placebo         1         37 -1.4049082770  0.145703973
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## 183          2 Placebo         3         37  1.0690637987  0.145703973
## 184          3 Placebo         4         37  0.8330321026  0.145703973
## 185          4 Placebo         5         37 -0.5791279722  0.145703973
## 186          0 Placebo         1         38  1.0391481086  0.060729592
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## 188          2 Placebo         3         38  0.7674346019  0.060729592
## 189          3 Placebo         4         38 -0.2740725375  0.060729592
## 190          4 Placebo         5         38  0.4815102657  0.060729592
## 191          0 Placebo         1         39 -0.3972968331  0.257355431
## 192          1 Placebo         2         39  0.2685038426  0.257355431
## 193          2 Placebo         3         39 -0.0581765987  0.257355431
## 194          3 Placebo         4         39  1.4348920317  0.257355431
## 195          4 Placebo         5         39  0.0504725501  0.257355431
## 196          0 Placebo         1         40  0.4713016496 -0.061204629
## 197          1 Placebo         2         40  0.1563244821 -0.061204629
## 198          2 Placebo         3         40 -0.7790056371 -0.061204629
## 199          3 Placebo         4         40 -0.7264281655 -0.061204629
## 200          4 Placebo         5         40 -1.8368623838 -0.061204629
## 201          0 Placebo         1         41  0.4193126019 -0.213040273
## 202          1 Placebo         2         41 -1.4320559804 -0.213040273
## 203          2 Placebo         3         41  0.8752151714 -0.213040273
## 204          3 Placebo         4         41  0.0613631477 -0.213040273
## 205          4 Placebo         5         41  1.0576771163 -0.213040273
## 206          0 Placebo         1         42  1.5319158536  0.393985604
## 207          1 Placebo         2         42  1.2391486544  0.393985604
## 208          2 Placebo         3         42  0.1522115740  0.393985604
## 209          3 Placebo         4         42 -1.0429147685  0.393985604
## 210          4 Placebo         5         42 -1.0077862807  0.393985604
## 211          0 Placebo         1         43 -0.9725674403 -0.554230940
## 212          1 Placebo         2         43 -1.5400570635 -0.554230940
## 213          2 Placebo         3         43 -0.3346078802 -0.554230940
## 214          3 Placebo         4         43  0.4353214020 -0.554230940
## 215          4 Placebo         5         43  1.0349580455 -0.554230940
## 216          0 Placebo         1         44 -0.3635176989  0.081672970
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## 218          2 Placebo         3         44  0.0265466917  0.081672970
## 219          3 Placebo         4         44 -0.4009720344  0.081672970
## 220          4 Placebo         5         44  0.8142977457  0.081672970
## 221          0    Drug         1         45 -0.3061961949  0.595348332
## 222          0    Drug         2         45  0.8334490181  0.595348332
## 223          0    Drug         3         45  0.6279615000  0.595348332
## 224          0    Drug         4         45  0.6896050378  0.595348332
## 225          0    Drug         5         45 -0.3197762324  0.595348332
## 226          0    Drug         1         46  0.1895688523 -0.641679757
## 227          0    Drug         2         46 -0.2278449531 -0.641679757
## 228          0    Drug         3         46 -0.0358240810 -0.641679757
## 229          0    Drug         4         46  2.2701978061 -0.641679757
## 230          0    Drug         5         46 -0.8514681280 -0.641679757
## 231          0 Placebo         1         47  0.6153346909 -0.324830896
## 232          1 Placebo         2         47  0.6444983821 -0.324830896
## 233          2 Placebo         3         47  0.3418436019 -0.324830896
## 234          3 Placebo         4         47  0.8633188313 -0.324830896
## 235          4 Placebo         5         47 -0.1204356671 -0.324830896
## 236          0    Drug         1         48 -0.4030539226 -0.131099170
## 237          0    Drug         2         48  2.0892564023 -0.131099170
## 238          0    Drug         3         48  0.6295237508 -0.131099170
## 239          0    Drug         4         48  2.3724350143 -0.131099170
## 240          0    Drug         5         48  1.2609239002 -0.131099170
## 241          0 Placebo         1         49  0.3536680235  0.139225237
## 242          1 Placebo         2         49 -0.2534288150  0.139225237
## 243          2 Placebo         3         49  2.4625684910  0.139225237
## 244          3 Placebo         4         49 -0.3903162378  0.139225237
## 245          4 Placebo         5         49  0.4322052210  0.139225237
## 246          0 Placebo         1         50  0.2480779966  0.823066312
## 247          1 Placebo         2         50 -1.4481606698  0.823066312
## 248          2 Placebo         3         50  0.5408887463  0.823066312
## 249          3 Placebo         4         50  0.6365828863  0.823066312
## 250          4 Placebo         5         50 -0.7328343540  0.823066312
## 251          0 Placebo         1          1 -0.0704149685  0.287302738
## 252          1 Placebo         2          1 -1.6769005249  0.287302738
## 253          2 Placebo         3          1  0.9203172487  0.287302738
## 254          3 Placebo         4          1 -0.9064218398  0.287302738
## 255          4 Placebo         5          1 -0.7667125064  0.287302738
## 256          0 Placebo         1          2  1.2093607339 -0.219897098
## 257          1 Placebo         2          2  1.3416090153 -0.219897098
## 258          2 Placebo         3          2  1.2561264340 -0.219897098
## 259          3 Placebo         4          2  2.1878400186 -0.219897098
## 260          4 Placebo         5          2 -0.9307102442 -0.219897098
## 261          0    Drug         1          3  0.5058451815 -0.423639649
## 262          0    Drug         2          3 -0.4227385624 -0.423639649
## 263          0    Drug         3          3  1.7617611380 -0.423639649
## 264          0    Drug         4          3  0.8531669623 -0.423639649
## 265          0    Drug         5          3  1.5814496027 -0.423639649
## 266          0 Placebo         1          4  2.1599390996  0.064159159
## 267          1 Placebo         2          4  1.1387943149  0.064159159
## 268          2 Placebo         3          4  0.8716279361  0.064159159
## 269          3 Placebo         4          4  0.4128978808  0.064159159
## 270          4 Placebo         5          4 -0.0201049223  0.064159159
## 271          0 Placebo         1          5 -0.5610870947  0.250055537
## 272          1 Placebo         2          5  2.0717420604  0.250055537
## 273          2 Placebo         3          5 -0.4637378716  0.250055537
## 274          3 Placebo         4          5  1.4078143420  0.250055537
## 275          4 Placebo         5          5 -1.4261701964  0.250055537
## 276          0    Drug         1          6  0.9177802667 -0.598302285
## 277          0    Drug         2          6 -1.3252241503 -0.598302285
## 278          0    Drug         3          6  1.4713954410 -0.598302285
## 279          0    Drug         4          6  1.8410110616 -0.598302285
## 280          0    Drug         5          6 -0.2837704565 -0.598302285
## 281          0 Placebo         1          7 -0.5481743388  0.222716731
## 282          1 Placebo         2          7 -0.8748923692  0.222716731
## 283          2 Placebo         3          7 -0.2954601014  0.222716731
## 284          3 Placebo         4          7  1.1766658774  0.222716731
## 285          4 Placebo         5          7 -0.5412366821  0.222716731
## 286          0 Placebo         1          8 -0.2377610164  0.603514479
## 287          1 Placebo         2          8 -0.8583148755  0.603514479
## 288          2 Placebo         3          8 -0.3237828943  0.603514479
## 289          3 Placebo         4          8 -1.1300484672  0.603514479
## 290          4 Placebo         5          8  1.5729819014  0.603514479
## 291          0 Placebo         1          9  1.3321649463  0.134836897
## 292          1 Placebo         2          9 -0.1199559523  0.134836897
## 293          2 Placebo         3          9  1.0206925666  0.134836897
## 294          3 Placebo         4          9  0.2096647716  0.134836897
## 295          4 Placebo         5          9 -0.6371070706  0.134836897
## 296          0    Drug         1         10 -0.4120629129  0.018234986
## 297          0    Drug         2         10  0.5979912788  0.018234986
## 298          0    Drug         3         10 -0.7390590808  0.018234986
## 299          0    Drug         4         10 -0.0688248749  0.018234986
## 300          0    Drug         5         10 -0.4055220420  0.018234986
## 301          0 Placebo         1         11  0.8849720444 -0.522228452
## 302          1 Placebo         2         11 -0.3793899737 -0.522228452
## 303          2 Placebo         3         11 -0.8230300006 -0.522228452
## 304          3 Placebo         4         11  1.0303093870 -0.522228452
## 305          4 Placebo         5         11  0.0312329959 -0.522228452
## 306          0    Drug         1         12 -1.6186004257 -0.322360067
## 307          0    Drug         2         12  0.5110354782 -0.322360067
## 308          0    Drug         3         12  1.1260096248 -0.322360067
## 309          0    Drug         4         12 -1.1012301238 -0.322360067
## 310          0    Drug         5         12 -0.8602328907 -0.322360067
## 311          0 Placebo         1         13 -0.5502232489  0.052326580
## 312          1 Placebo         2         13  0.2111457097  0.052326580
## 313          2 Placebo         3         13  0.0945765639  0.052326580
## 314          3 Placebo         4         13 -0.8520882896  0.052326580
## 315          4 Placebo         5         13 -0.0988975166  0.052326580
## 316          0    Drug         1         14 -0.7937699569  0.345713547
## 317          0    Drug         2         14 -0.8691627662  0.345713547
## 318          0    Drug         3         14  0.4519620707  0.345713547
## 319          0    Drug         4         14 -0.3058218961  0.345713547
## 320          0    Drug         5         14  0.5175758216  0.345713547
## 321          0 Placebo         1         15  2.1725716145  0.332639947
## 322          1 Placebo         2         15  0.7504182775  0.332639947
## 323          2 Placebo         3         15  0.1715909239  0.332639947
## 324          3 Placebo         4         15  0.2766136669  0.332639947
## 325          4 Placebo         5         15 -0.8911398296  0.332639947
## 326          0 Placebo         1         16  1.8121897873 -0.331470216
## 327          1 Placebo         2         16 -1.2156354974 -0.331470216
## 328          2 Placebo         3         16 -0.1436942921 -0.331470216
## 329          3 Placebo         4         16  0.9297998701 -0.331470216
## 330          4 Placebo         5         16 -0.3296920978 -0.331470216
## 331          0    Drug         1         17  0.3129719447  0.214258606
## 332          0    Drug         2         17 -1.3119273545  0.214258606
## 333          0    Drug         3         17 -0.7320519659  0.214258606
## 334          0    Drug         4         17  0.2682446601  0.214258606
## 335          0    Drug         5         17  0.6382009968  0.214258606
## 336          0 Placebo         1         18 -0.2485455386  0.056441400
## 337          1 Placebo         2         18 -1.2734846610  0.056441400
## 338          2 Placebo         3         18 -0.5806632098  0.056441400
## 339          3 Placebo         4         18  0.5075825937  0.056441400
## 340          4 Placebo         5         18  0.2095208297  0.056441400
## 341          0    Drug         1         19 -0.2468423605 -0.472286632
## 342          0    Drug         2         19 -0.6812581121 -0.472286632
## 343          0    Drug         3         19 -0.3393777070 -0.472286632
## 344          0    Drug         4         19  0.1727198390 -0.472286632
## 345          0    Drug         5         19 -0.2018785433 -0.472286632
## 346          0 Placebo         1         20  0.9208029579 -0.193537200
## 347          1 Placebo         2         20  1.1198451822 -0.193537200
## 348          2 Placebo         3         20  0.2066818773 -0.193537200
## 349          3 Placebo         4         20  0.6075483335 -0.193537200
## 350          4 Placebo         5         20 -1.3709636738 -0.193537200
## 351          0 Placebo         1         21 -1.4700427170  0.736555578
## 352          1 Placebo         2         21 -0.0199734320  0.736555578
## 353          2 Placebo         3         21  0.2074991604  0.736555578
## 354          3 Placebo         4         21 -0.2699464876  0.736555578
## 355          4 Placebo         5         21  0.1007700996  0.736555578
## 356          0    Drug         1         22 -0.9122408266  0.275556603
## 357          0    Drug         2         22  0.0552099269  0.275556603
## 358          0    Drug         3         22  1.9140320060  0.275556603
## 359          0    Drug         4         22 -0.6209953548  0.275556603
## 360          0    Drug         5         22 -0.4051610122  0.275556603
## 361          0    Drug         1         23  0.7293878265  0.009390057
## 362          0    Drug         2         23  0.7890693845  0.009390057
## 363          0    Drug         3         23 -0.3184570056  0.009390057
## 364          0    Drug         4         23  0.2209702789  0.009390057
## 365          0    Drug         5         23  0.3292347825  0.009390057
## 366          0    Drug         1         24 -0.1276905510  0.283944493
## 367          0    Drug         2         24  0.8266956992  0.283944493
## 368          0    Drug         3         24 -0.9859011478  0.283944493
## 369          0    Drug         4         24  0.1790908200  0.283944493
## 370          0    Drug         5         24 -0.3410473099  0.283944493
## 371          0    Drug         1         25  0.7554835090 -0.415871116
## 372          0    Drug         2         25  0.3818016293 -0.415871116
## 373          0    Drug         3         25 -1.0743239988 -0.415871116
## 374          0    Drug         4         25  0.1071325424 -0.415871116
## 375          0    Drug         5         25 -0.3459002029 -0.415871116
## 376          0 Placebo         1         26 -0.7781439756  0.453861089
## 377          1 Placebo         2         26 -1.7711846703  0.453861089
## 378          2 Placebo         3         26  2.2946040437  0.453861089
## 379          3 Placebo         4         26  0.4792454019  0.453861089
## 380          4 Placebo         5         26 -0.3835365500  0.453861089
## 381          0    Drug         1         27  0.6579568677  0.040007752
## 382          0    Drug         2         27  1.3142523940  0.040007752
## 383          0    Drug         3         27  0.4652646332  0.040007752
## 384          0    Drug         4         27  1.1074871227  0.040007752
## 385          0    Drug         5         27 -0.0497906392  0.040007752
## 386          0    Drug         1         28  1.1658847653 -0.030345692
## 387          0    Drug         2         28 -0.3228682817 -0.030345692
## 388          0    Drug         3         28 -0.4428051024 -0.030345692
## 389          0    Drug         4         28 -0.7607615833 -0.030345692
## 390          0    Drug         5         28  0.2487512224 -0.030345692
## 391          0 Placebo         1         29  0.9137413159 -0.028865035
## 392          1 Placebo         2         29  0.9035135409 -0.028865035
## 393          2 Placebo         3         29  0.0958958893 -0.028865035
## 394          3 Placebo         4         29 -0.1142635152 -0.028865035
## 395          4 Placebo         5         29 -0.5643503409 -0.028865035
## 396          0 Placebo         1         30  0.5388992155 -0.600947794
## 397          1 Placebo         2         30  0.0168706776 -0.600947794
## 398          2 Placebo         3         30  0.0936700981 -0.600947794
## 399          3 Placebo         4         30 -0.2876436917 -0.600947794
## 400          4 Placebo         5         30  1.2374754441 -0.600947794
## 401          0    Drug         1         31 -1.1834634128  0.998256127
## 402          0    Drug         2         31  0.2151305316  0.998256127
## 403          0    Drug         3         31 -1.6201050045  0.998256127
## 404          0    Drug         4         31  0.3221041101  0.998256127
## 405          0    Drug         5         31  0.0242661206  0.998256127
## 406          0 Placebo         1         32  0.6514096705 -0.590869487
## 407          1 Placebo         2         32  0.5762030891 -0.590869487
## 408          2 Placebo         3         32  0.5011218933 -0.590869487
## 409          3 Placebo         4         32 -0.0948891037 -0.590869487
## 410          4 Placebo         5         32  0.4899159925 -0.590869487
## 411          0    Drug         1         33 -0.2670109346 -0.019196518
## 412          0    Drug         2         33 -0.3376742844 -0.019196518
## 413          0    Drug         3         33 -1.5646865137 -0.019196518
## 414          0    Drug         4         33  0.0639095154 -0.019196518
## 415          0    Drug         5         33  1.3660846641 -0.019196518
## 416          0    Drug         1         34  1.3247108786  0.353980997
## 417          0    Drug         2         34 -1.9642375273  0.353980997
## 418          0    Drug         3         34  1.8655812626  0.353980997
## 419          0    Drug         4         34 -1.1728143928  0.353980997
## 420          0    Drug         5         34 -1.1008503935  0.353980997
## 421          0    Drug         1         35 -0.6997562606  0.545615058
## 422          0    Drug         2         35 -0.5857955599  0.545615058
## 423          0    Drug         3         35  3.1055839861  0.545615058
## 424          0    Drug         4         35  0.7775695253  0.545615058
## 425          0    Drug         5         35 -0.2601552150  0.545615058
## 426          0 Placebo         1         36 -0.5505859784 -0.128597022
## 427          1 Placebo         2         36  0.9878782597 -0.128597022
## 428          2 Placebo         3         36  0.6820923762 -0.128597022
## 429          3 Placebo         4         36 -0.4515303507 -0.128597022
## 430          4 Placebo         5         36  0.5613235651 -0.128597022
## 431          0    Drug         1         37  0.2038138416 -0.118852303
## 432          0    Drug         2         37  0.3850191570 -0.118852303
## 433          0    Drug         3         37  0.9417665979 -0.118852303
## 434          0    Drug         4         37  1.4395145820 -0.118852303
## 435          0    Drug         5         37  0.2983590968 -0.118852303
## 436          0 Placebo         1         38 -0.8501592165 -0.120762578
## 437          1 Placebo         2         38  0.1434534592 -0.120762578
## 438          2 Placebo         3         38  0.7553509562 -0.120762578
## 439          3 Placebo         4         38 -1.2517407861 -0.120762578
## 440          4 Placebo         5         38  0.7183570532 -0.120762578
## 441          0 Placebo         1         39  1.0984229795  0.497096017
## 442          1 Placebo         2         39 -0.4821207562  0.497096017
## 443          2 Placebo         3         39  0.9875478485  0.497096017
## 444          3 Placebo         4         39  0.6599775290  0.497096017
## 445          4 Placebo         5         39 -0.6179529740  0.497096017
## 446          0 Placebo         1         40  1.0669984530 -0.159260536
## 447          1 Placebo         2         40 -1.4062077687 -0.159260536
## 448          2 Placebo         3         40 -1.0986338949 -0.159260536
## 449          3 Placebo         4         40 -0.8984451699 -0.159260536
## 450          4 Placebo         5         40  0.2545579854 -0.159260536
## 451          0    Drug         1         41 -1.0896892306 -0.521891136
## 452          0    Drug         2         41 -0.4972114440 -0.521891136
## 453          0    Drug         3         41 -1.8380493607 -0.521891136
## 454          0    Drug         4         41  0.6338717336 -0.521891136
## 455          0    Drug         5         41  0.5405409417 -0.521891136
## 456          0    Drug         1         42  0.0425629072 -0.350779964
## 457          0    Drug         2         42 -3.0741367843 -0.350779964
## 458          0    Drug         3         42  0.5357074777 -0.350779964
## 459          0    Drug         4         42  1.6467928205 -0.350779964
## 460          0    Drug         5         42 -1.1661744225 -0.350779964
## 461          0    Drug         1         43  0.1824725430 -0.619385036
## 462          0    Drug         2         43  0.3279033035 -0.619385036
## 463          0    Drug         3         43 -0.5698769400 -0.619385036
## 464          0    Drug         4         43 -0.1199489438 -0.619385036
## 465          0    Drug         5         43 -2.3414777922 -0.619385036
## 466          0    Drug         1         44 -0.8988650114  0.376584925
## 467          0    Drug         2         44 -0.2479651459  0.376584925
## 468          0    Drug         3         44 -1.4923276646  0.376584925
## 469          0    Drug         4         44 -1.8841246778  0.376584925
## 470          0    Drug         5         44  2.3761299910  0.376584925
## 471          0    Drug         1         45 -0.4760502845 -1.077006006
## 472          0    Drug         2         45 -1.5774533489 -1.077006006
## 473          0    Drug         3         45  0.2351831903 -1.077006006
## 474          0    Drug         4         45 -1.1663195803 -1.077006006
## 475          0    Drug         5         45  0.5616763541 -1.077006006
## 476          0    Drug         1         46  0.4989067252  0.412484087
## 477          0    Drug         2         46  1.3564834477  0.412484087
## 478          0    Drug         3         46 -0.6205148342  0.412484087
## 479          0    Drug         4         46  0.3916849201  0.412484087
## 480          0    Drug         5         46 -0.6515151105  0.412484087
## 481          0    Drug         1         47 -1.1671767055 -0.237204522
## 482          0    Drug         2         47 -1.0232776869 -0.237204522
## 483          0    Drug         3         47 -0.4733763195 -0.237204522
## 484          0    Drug         4         47 -2.2029762931 -0.237204522
## 485          0    Drug         5         47  1.7560443959 -0.237204522
## 486          0 Placebo         1         48 -1.4579835644 -0.490586146
## 487          1 Placebo         2         48 -0.6340084404 -0.490586146
## 488          2 Placebo         3         48 -0.4803017409 -0.490586146
## 489          3 Placebo         4         48 -0.1080418562 -0.490586146
## 490          4 Placebo         5         48 -1.4448177736 -0.490586146
## 491          0 Placebo         1         49 -0.3139758988 -0.256532015
## 492          1 Placebo         2         49  1.0473419520 -0.256532015
## 493          2 Placebo         3         49  0.3608251331 -0.256532015
## 494          3 Placebo         4         49  0.7808885409 -0.256532015
## 495          4 Placebo         5         49 -0.2376194052 -0.256532015
## 496          0 Placebo         1         50  2.1361175364 -0.009198319
## 497          1 Placebo         2         50  1.1872692824 -0.009198319
## 498          2 Placebo         3         50  0.8717116534 -0.009198319
## 499          3 Placebo         4         50  0.5169003212 -0.009198319
## 500          4 Placebo         5         50 -0.9832695152 -0.009198319
## 501          0 Placebo         1          1 -0.7676500388  0.116483216
## 502          1 Placebo         2          1  0.3517802036  0.116483216
## 503          2 Placebo         3          1 -0.1169245293  0.116483216
## 504          3 Placebo         4          1 -1.1597562447  0.116483216
## 505          4 Placebo         5          1 -0.7663616830  0.116483216
## 506          0 Placebo         1          2 -0.2581988794  0.777783123
## 507          1 Placebo         2          2 -1.8279982810  0.777783123
## 508          2 Placebo         3          2  1.2624016340  0.777783123
## 509          3 Placebo         4          2  0.4341642220  0.777783123
## 510          4 Placebo         5          2  0.1448218307  0.777783123
## 511          0 Placebo         1          3 -1.1463419015  0.328013664
## 512          1 Placebo         2          3  0.1993441487  0.328013664
## 513          2 Placebo         3          3 -1.0395465597  0.328013664
## 514          3 Placebo         4          3 -0.1086980117  0.328013664
## 515          4 Placebo         5          3  1.1676544992  0.328013664
## 516          0 Placebo         1          4 -0.3846343044  0.223163194
## 517          1 Placebo         2          4  0.0938736724  0.223163194
## 518          2 Placebo         3          4 -0.3037998702  0.223163194
## 519          3 Placebo         4          4  0.8424717604  0.223163194
## 520          4 Placebo         5          4  0.3613853373  0.223163194
## 521          0    Drug         1          5  0.4012514402  0.011943842
## 522          0    Drug         2          5  0.5123963333  0.011943842
## 523          0    Drug         3          5  0.1365122349  0.011943842
## 524          0    Drug         4          5  0.9223287380  0.011943842
## 525          0    Drug         5          5  0.8788356987  0.011943842
## 526          0 Placebo         1          6 -0.5792069432  0.527834432
## 527          1 Placebo         2          6 -1.3550706144  0.527834432
## 528          2 Placebo         3          6 -0.4156644576  0.527834432
## 529          3 Placebo         4          6  0.8635224449  0.527834432
## 530          4 Placebo         5          6 -1.2820000959  0.527834432
## 531          0 Placebo         1          7 -0.3695911298  0.350464055
## 532          1 Placebo         2          7  0.0931934416  0.350464055
## 533          2 Placebo         3          7  0.1037827897  0.350464055
## 534          3 Placebo         4          7 -0.6472448348  0.350464055
## 535          4 Placebo         5          7  1.0323413407  0.350464055
## 536          0    Drug         1          8  0.7021153232  0.299523266
## 537          0    Drug         2          8 -0.9716200481  0.299523266
## 538          0    Drug         3          8 -0.4725174582  0.299523266
## 539          0    Drug         4          8  0.3955258302  0.299523266
## 540          0    Drug         5          8 -0.0264718809  0.299523266
## 541          0    Drug         1          9  2.0619066306 -0.711805558
## 542          0    Drug         2          9  1.8941996969 -0.711805558
## 543          0    Drug         3          9 -2.0290475359 -0.711805558
## 544          0    Drug         4          9 -0.8610172250 -0.711805558
## 545          0    Drug         5          9 -0.9275230597 -0.711805558
## 546          0 Placebo         1         10 -1.2072204132  0.865833584
## 547          1 Placebo         2         10 -1.0748121253  0.865833584
## 548          2 Placebo         3         10  0.3900281089  0.865833584
## 549          3 Placebo         4         10  0.0477199665  0.865833584
## 550          4 Placebo         5         10 -0.2029809807  0.865833584
## 551          0 Placebo         1         11 -1.1922697388  0.306253794
## 552          1 Placebo         2         11  0.9840668987  0.306253794
## 553          2 Placebo         3         11  0.7910702038  0.306253794
## 554          3 Placebo         4         11 -0.3922806366  0.306253794
## 555          4 Placebo         5         11  0.4683465883  0.306253794
## 556          0 Placebo         1         12 -0.1938199761 -0.311664380
## 557          1 Placebo         2         12 -1.9021064852 -0.311664380
## 558          2 Placebo         3         12 -0.0540201162 -0.311664380
## 559          3 Placebo         4         12  2.1461046824 -0.311664380
## 560          4 Placebo         5         12  0.8055991974 -0.311664380
## 561          0 Placebo         1         13  0.1819051817 -0.402986180
## 562          1 Placebo         2         13  2.2343018798 -0.402986180
## 563          2 Placebo         3         13  0.2329442172 -0.402986180
## 564          3 Placebo         4         13  0.8340525555 -0.402986180
## 565          4 Placebo         5         13  0.6915925695 -0.402986180
## 566          0 Placebo         1         14  0.3265481729  0.851697468
## 567          1 Placebo         2         14  1.0059066012  0.851697468
## 568          2 Placebo         3         14  0.5906565452  0.851697468
## 569          3 Placebo         4         14 -1.3138639693  0.851697468
## 570          4 Placebo         5         14 -0.0119537071  0.851697468
## 571          0    Drug         1         15 -0.6033309764 -0.428281370
## 572          0    Drug         2         15  0.8991742983 -0.428281370
## 573          0    Drug         3         15  0.2646093024 -0.428281370
## 574          0    Drug         4         15  1.2093271711 -0.428281370
## 575          0    Drug         5         15 -1.5584093996 -0.428281370
## 576          0    Drug         1         16  0.4625193471 -0.228770736
## 577          0    Drug         2         16 -1.3087884919 -0.228770736
## 578          0    Drug         3         16 -0.2142679601 -0.228770736
## 579          0    Drug         4         16 -3.0759988619 -0.228770736
## 580          0    Drug         5         16 -1.1895312784 -0.228770736
## 581          0 Placebo         1         17  0.1987471963 -0.936709206
## 582          1 Placebo         2         17  0.1438637346 -0.936709206
## 583          2 Placebo         3         17  0.9248226475 -0.936709206
## 584          3 Placebo         4         17  1.1151858357 -0.936709206
## 585          4 Placebo         5         17 -0.6004547737 -0.936709206
## 586          0 Placebo         1         18 -0.1840379905 -0.791947724
## 587          1 Placebo         2         18 -0.2552042596 -0.791947724
## 588          2 Placebo         3         18 -1.1887441954 -0.791947724
## 589          3 Placebo         4         18 -0.9229037262 -0.791947724
## 590          4 Placebo         5         18 -0.1631328821 -0.791947724
## 591          0    Drug         1         19  0.1462995505  0.011981696
## 592          0    Drug         2         19  0.7983646684  0.011981696
## 593          0    Drug         3         19  0.9892971152  0.011981696
## 594          0    Drug         4         19  1.5141326653  0.011981696
## 595          0    Drug         5         19 -0.8010253994  0.011981696
## 596          0 Placebo         1         20 -1.0905512983  0.412426194
## 597          1 Placebo         2         20 -0.1861919632  0.412426194
## 598          2 Placebo         3         20 -0.6345430198  0.412426194
## 599          3 Placebo         4         20  0.5736489327  0.412426194
## 600          4 Placebo         5         20  0.8286099680  0.412426194
## 601          0 Placebo         1         21 -0.7253215779  0.091160940
## 602          1 Placebo         2         21 -0.1602617649  0.091160940
## 603          2 Placebo         3         21 -0.7750887773  0.091160940
## 604          3 Placebo         4         21 -0.2584817151  0.091160940
## 605          4 Placebo         5         21  1.8409700360  0.091160940
## 606          0    Drug         1         22 -0.6669931570  0.219901232
## 607          0    Drug         2         22  0.6905029024  0.219901232
## 608          0    Drug         3         22  0.2509155485  0.219901232
## 609          0    Drug         4         22 -1.2769760552  0.219901232
## 610          0    Drug         5         22  1.2950955322  0.219901232
## 611          0 Placebo         1         23  0.7278723997  0.089080539
## 612          1 Placebo         2         23  0.8513236515  0.089080539
## 613          2 Placebo         3         23  1.1623217749  0.089080539
## 614          3 Placebo         4         23 -0.3581200958  0.089080539
## 615          4 Placebo         5         23  0.5753995545  0.089080539
## 616          0    Drug         1         24  0.1978119774  0.048242171
## 617          0    Drug         2         24 -0.3972450155  0.048242171
## 618          0    Drug         3         24  0.3481928746  0.048242171
## 619          0    Drug         4         24 -0.3802822351  0.048242171
## 620          0    Drug         5         24  0.9094795100  0.048242171
## 621          0 Placebo         1         25 -1.3249662285  0.239584296
## 622          1 Placebo         2         25  1.2792265046  0.239584296
## 623          2 Placebo         3         25  0.0201313382  0.239584296
## 624          3 Placebo         4         25 -0.4368472845  0.239584296
## 625          4 Placebo         5         25 -0.8591675954  0.239584296
## 626          0    Drug         1         26  1.3632246098  0.523313056
## 627          0    Drug         2         26 -0.6198371917  0.523313056
## 628          0    Drug         3         26  0.3820573442  0.523313056
## 629          0    Drug         4         26 -0.0889757686  0.523313056
## 630          0    Drug         5         26  1.4263192463  0.523313056
## 631          0 Placebo         1         27  1.0659094245  0.431219340
## 632          1 Placebo         2         27 -1.2227212191  0.431219340
## 633          2 Placebo         3         27 -0.0666183287  0.431219340
## 634          3 Placebo         4         27  0.6745813101  0.431219340
## 635          4 Placebo         5         27  1.8698193556  0.431219340
## 636          0 Placebo         1         28 -0.3275032691 -0.345062140
## 637          1 Placebo         2         28 -0.9494197456 -0.345062140
## 638          2 Placebo         3         28 -0.6657106563 -0.345062140
## 639          3 Placebo         4         28 -0.5297601640 -0.345062140
## 640          4 Placebo         5         28 -1.6621308129 -0.345062140
## 641          0    Drug         1         29 -1.0887388730 -0.409661119
## 642          0    Drug         2         29  0.2093148046 -0.409661119
## 643          0    Drug         3         29  0.6477531157 -0.409661119
## 644          0    Drug         4         29  0.2938195241 -0.409661119
## 645          0    Drug         5         29  0.0207521726 -0.409661119
## 646          0    Drug         1         30 -1.4748008525 -0.632994353
## 647          0    Drug         2         30  0.7317441929 -0.632994353
## 648          0    Drug         3         30  0.1022471252 -0.632994353
## 649          0    Drug         4         30  0.3250453564 -0.632994353
## 650          0    Drug         5         30 -0.3202185950 -0.632994353
## 651          0    Drug         1         31 -0.6711201404  0.549478454
## 652          0    Drug         2         31  0.1183862072  0.549478454
## 653          0    Drug         3         31 -0.2349946915  0.549478454
## 654          0    Drug         4         31  0.2554174910  0.549478454
## 655          0    Drug         5         31 -1.3743428635  0.549478454
## 656          0    Drug         1         32 -1.4277889414 -0.719582357
## 657          0    Drug         2         32  0.7538853522 -0.719582357
## 658          0    Drug         3         32  0.2418891190 -0.719582357
## 659          0    Drug         4         32 -0.6708420055 -0.719582357
## 660          0    Drug         5         32 -0.4005181330 -0.719582357
## 661          0 Placebo         1         33 -0.1597006730 -0.286207888
## 662          1 Placebo         2         33  0.9786404180 -0.286207888
## 663          2 Placebo         3         33 -0.6883424405 -0.286207888
## 664          3 Placebo         4         33  1.2001311387 -0.286207888
## 665          4 Placebo         5         33 -0.4818730746 -0.286207888
## 666          0 Placebo         1         34 -1.5728400795 -0.391812356
## 667          1 Placebo         2         34  0.7362314363 -0.391812356
## 668          2 Placebo         3         34 -0.2004532711 -0.391812356
## 669          3 Placebo         4         34 -0.7131540524 -0.391812356
## 670          4 Placebo         5         34  0.4644339874 -0.391812356
## 671          0 Placebo         1         35 -0.0760529154  0.200902975
## 672          1 Placebo         2         35 -0.0452075408  0.200902975
## 673          2 Placebo         3         35 -0.8841806621  0.200902975
## 674          3 Placebo         4         35  0.3627654717  0.200902975
## 675          4 Placebo         5         35  0.7125193877  0.200902975
## 676          0 Placebo         1         36 -0.0840997663  0.492901563
## 677          1 Placebo         2         36  0.7183073581  0.492901563
## 678          2 Placebo         3         36 -1.3866332644  0.492901563
## 679          3 Placebo         4         36  0.4855255143  0.492901563
## 680          4 Placebo         5         36 -1.7421703157  0.492901563
## 681          0 Placebo         1         37  0.1021946656 -0.495809238
## 682          1 Placebo         2         37  0.2170799020 -0.495809238
## 683          2 Placebo         3         37 -0.6842715466 -0.495809238
## 684          3 Placebo         4         37  0.0651033042 -0.495809238
## 685          4 Placebo         5         37 -0.1218437069 -0.495809238
## 686          0 Placebo         1         38 -1.5833860680  0.139288783
## 687          1 Placebo         2         38 -0.5538574402  0.139288783
## 688          2 Placebo         3         38  0.7665873721  0.139288783
## 689          3 Placebo         4         38 -0.9673533384  0.139288783
## 690          4 Placebo         5         38 -0.8083426187  0.139288783
## 691          0 Placebo         1         39  0.4424684357 -0.407546117
## 692          1 Placebo         2         39 -0.9951310978 -0.407546117
## 693          2 Placebo         3         39 -1.8257502753 -0.407546117
## 694          3 Placebo         4         39  0.4022690927 -0.407546117
## 695          4 Placebo         5         39  1.0293672739 -0.407546117
## 696          0    Drug         1         40  1.2502591130  0.594758962
## 697          0    Drug         2         40 -0.0334073979  0.594758962
## 698          0    Drug         3         40  0.9071795048  0.594758962
## 699          0    Drug         4         40  0.4909619303  0.594758962
## 700          0    Drug         5         40  0.6396475373  0.594758962
## 701          0    Drug         1         41 -1.3055871506  0.436555954
## 702          0    Drug         2         41 -0.1629312870  0.436555954
## 703          0    Drug         3         41 -2.0041625833  0.436555954
## 704          0    Drug         4         41 -1.2708389896  0.436555954
## 705          0    Drug         5         41  0.2496464624  0.436555954
## 706          0    Drug         1         42 -0.2520851111  0.399920903
## 707          0    Drug         2         42 -0.4032168589  0.399920903
## 708          0    Drug         3         42 -1.1743614458  0.399920903
## 709          0    Drug         4         42  0.3698163918  0.399920903
## 710          0    Drug         5         42 -0.1591675088  0.399920903
## 711          0    Drug         1         43 -1.1260139645 -0.070846304
## 712          0    Drug         2         43 -1.1587497347 -0.070846304
## 713          0    Drug         3         43  0.1601486627 -0.070846304
## 714          0    Drug         4         43  0.1057524034 -0.070846304
## 715          0    Drug         5         43  0.1807029726 -0.070846304
## 716          0 Placebo         1         44 -0.4581216596  0.159410647
## 717          1 Placebo         2         44  0.5232563516  0.159410647
## 718          2 Placebo         3         44  0.5952372842  0.159410647
## 719          3 Placebo         4         44  1.5669349460  0.159410647
## 720          4 Placebo         5         44 -0.0775668078  0.159410647
## 721          0 Placebo         1         45  0.7838706758 -0.038745201
## 722          1 Placebo         2         45  0.6573526977 -0.038745201
## 723          2 Placebo         3         45  1.4621895526 -0.038745201
## 724          3 Placebo         4         45 -0.0890281885 -0.038745201
## 725          4 Placebo         5         45 -1.4929777889 -0.038745201
## 726          0 Placebo         1         46  1.2928097690  0.288033211
## 727          1 Placebo         2         46 -0.1618163619  0.288033211
## 728          2 Placebo         3         46 -1.0453275009  0.288033211
## 729          3 Placebo         4         46  0.4103284344  0.288033211
## 730          4 Placebo         5         46 -0.3442756313  0.288033211
## 731          0 Placebo         1         47 -0.4690040878 -0.649608884
## 732          1 Placebo         2         47 -1.1606727485 -0.649608884
## 733          2 Placebo         3         47  0.3005891567 -0.649608884
## 734          3 Placebo         4         47 -1.7150216441 -0.649608884
## 735          4 Placebo         5         47 -1.6594764464 -0.649608884
## 736          0 Placebo         1         48 -0.5036987960  0.444062422
## 737          1 Placebo         2         48 -1.0452248577  0.444062422
## 738          2 Placebo         3         48 -0.4095966114  0.444062422
## 739          3 Placebo         4         48 -0.4582398293  0.444062422
## 740          4 Placebo         5         48 -1.6925702225  0.444062422
## 741          0    Drug         1         49 -0.2234109397 -0.062638545
## 742          0    Drug         2         49 -0.4196109281 -0.062638545
## 743          0    Drug         3         49  0.1725933296 -0.062638545
## 744          0    Drug         4         49  0.0592348251 -0.062638545
## 745          0    Drug         5         49 -0.0947809963 -0.062638545
## 746          0    Drug         1         50 -0.8628654924 -0.623857780
## 747          0    Drug         2         50  2.8347867722 -0.623857780
## 748          0    Drug         3         50 -0.0775134801 -0.623857780
## 749          0    Drug         4         50 -1.2612290829 -0.623857780
## 750          0    Drug         5         50  0.4731218174 -0.623857780
##       time_clust fixed_outcome random_effects    resp_var
## 1   -0.200186365          4.00   -0.505089189  4.18712657
## 2   -0.200186365          4.50   -0.705275554  3.90544255
## 3   -0.200186365          5.00   -0.905461918  2.04599477
## 4   -0.200186365          5.50   -1.105648283  6.31618768
## 5   -0.200186365          6.00   -1.305834648  5.02813822
## 6    0.014122685          4.75    0.286785348  5.50942015
## 7    0.014122685          5.25    0.300908034  4.90603883
## 8    0.014122685          5.75    0.315030719  5.91406311
## 9    0.014122685          6.25    0.329153404  7.13771616
## 10   0.014122685          6.75    0.343276090  7.09244128
## 11  -0.361839892          4.75    0.804977860  6.46108887
## 12  -0.361839892          5.25    0.443137968  4.77565079
## 13  -0.361839892          5.75    0.081298076  5.35088271
## 14  -0.361839892          6.25   -0.280541816  7.57675364
## 15  -0.361839892          6.75   -0.642381708  6.66881317
## 16  -0.281037056          4.00    0.620581619  4.68993139
## 17  -0.281037056          4.50    0.339544563  3.47911134
## 18  -0.281037056          5.00    0.058507507  3.83882688
## 19  -0.281037056          5.50   -0.222529549  6.28945094
## 20  -0.281037056          6.00   -0.503566605  6.84501472
## 21   0.558087786          4.00   -0.821845197  5.01744917
## 22   0.558087786          4.50   -0.263757410  4.33581867
## 23   0.558087786          5.00    0.294330376  5.85454261
## 24   0.558087786          5.50    0.852418162  7.75801071
## 25   0.558087786          6.00    1.410505949  7.39065242
## 26  -0.066747584          4.75   -0.291666334  3.71328083
## 27  -0.066747584          5.25   -0.358413918  6.98949188
## 28  -0.066747584          5.75   -0.425161502  5.18264507
## 29  -0.066747584          6.25   -0.491909086  7.60821651
## 30  -0.066747584          6.75   -0.558656671  5.24340784
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## 338  1.733821791          5.75    3.524084982  8.69342177
## 339  1.733821791          6.25    5.257906773 12.01548937
## 340  1.733821791          6.75    6.991728564 13.95124939
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## 378  0.339481350          5.75    1.132823788  9.17742783
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## 397  0.720639458          5.25    0.119691664  5.38656234
## 398  0.720639458          5.75    0.840331122  6.68400122
## 399  0.720639458          6.25    1.560970579  7.52332689
## 400  0.720639458          6.75    2.281610037 10.26908548
## 401 -0.016214017          4.00    0.998256127  3.81479271
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## 420  0.257522451          6.00    1.384070802  6.28322041
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## 434  1.033283119          5.50    2.980997055  9.92051164
## 435  1.033283119          6.00    4.014280175 10.31263927
## 436  0.695566311          4.75   -0.120762578  3.77907821
## 437  0.695566311          5.25    0.574803733  5.96825719
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## 439  0.695566311          6.25    1.965936354  6.96419557
## 440  0.695566311          6.75    2.661502665 10.12985972
## 441  0.444514549          4.75    0.497096017  6.34551900
## 442  0.444514549          5.25    0.941610566  5.70948981
## 443  0.444514549          5.75    1.386125115  8.12367296
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## 469  0.442788676          5.50    1.704950952  5.32082627
## 470  0.442788676          6.00    2.147739628 10.52386962
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## 485  0.932652665          6.00    3.493406137 11.24945053
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## 548  1.018854600          5.75    2.903542784  9.04357089
## 549  1.018854600          6.25    3.922397385 10.22011735
## 550  1.018854600          6.75    4.941251985 11.48827100
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## 591  1.289812687          4.00    0.011981696  4.15828125
## 592  1.289812687          4.50    1.301794383  6.60015905
## 593  1.289812687          5.00    2.591607070  8.58090419
## 594  1.289812687          5.50    3.881419757 10.89555242
## 595  1.289812687          6.00    5.171232444 10.37020704
## 596 -0.070011424          4.75    0.412426194  4.07187490
## 597 -0.070011424          5.25    0.342414770  5.40622281
## 598 -0.070011424          5.75    0.272403347  5.38786033
## 599 -0.070011424          6.25    0.202391923  7.02604086
## 600 -0.070011424          6.75    0.132380499  7.71099047
## 601  1.008283063          4.75    0.091160940  4.11583936
## 602  1.008283063          5.25    1.099444004  6.18918224
## 603  1.008283063          5.75    2.107727067  7.08263829
## 604  1.008283063          6.25    3.116010131  9.10752842
## 605  1.008283063          6.75    4.124293194 12.71526323
## 606  0.559709430          4.00    0.219901232  3.55290808
## 607  0.559709430          4.50    0.779610662  5.97011356
## 608  0.559709430          5.00    1.339320092  6.59023564
## 609  0.559709430          5.50    1.899029523  6.12205347
## 610  0.559709430          6.00    2.458738953  9.75383449
## 611  0.439850243          4.75    0.089080539  5.56695294
## 612  0.439850243          5.25    0.528930782  6.63025443
## 613  0.439850243          5.75    0.968781026  7.88110280
## 614  0.439850243          6.25    1.408631269  7.30051117
## 615  0.439850243          6.75    1.848481513  9.17388107
## 616  0.035409248          4.00    0.048242171  4.24605415
## 617  0.035409248          4.50    0.083651418  4.18640640
## 618  0.035409248          5.00    0.119060666  5.46725354
## 619  0.035409248          5.50    0.154469913  5.27418768
## 620  0.035409248          6.00    0.189879161  7.09935867
## 621 -0.688865194          4.75    0.239584296  3.66461807
## 622 -0.688865194          5.25   -0.449280898  6.07994561
## 623 -0.688865194          5.75   -1.138146092  4.63198525
## 624 -0.688865194          6.25   -1.827011286  3.98614143
## 625 -0.688865194          6.75   -2.515876480  3.37495592
## 626 -0.526015106          4.00    0.523313056  5.88653767
## 627 -0.526015106          4.50   -0.002702050  3.87746076
## 628 -0.526015106          5.00   -0.528717156  4.85334019
## 629 -0.526015106          5.50   -1.054732261  4.35629197
## 630 -0.526015106          6.00   -1.580747367  5.84557188
## 631  0.006944990          4.75    0.431219340  6.24712876
## 632  0.006944990          5.25    0.438164330  4.46544311
## 633  0.006944990          5.75    0.445109319  6.12849099
## 634  0.006944990          6.25    0.452054309  7.37663562
## 635  0.006944990          6.75    0.458999298  9.07881865
## 636  0.347098860          4.75   -0.345062140  4.07743459
## 637  0.347098860          5.25    0.002036720  4.30261697
## 638  0.347098860          5.75    0.349135580  5.43342492
## 639  0.347098860          6.25    0.696234439  6.41647428
## 640  0.347098860          6.75    1.043333299  6.13120249
## 641 -0.927990904          4.00   -0.409661119  2.50160001
## 642 -0.927990904          4.50   -1.337652023  3.37166278
## 643 -0.927990904          5.00   -2.265642927  3.38211019
## 644 -0.927990904          5.50   -3.193633832  2.60018569
## 645 -0.927990904          6.00   -4.121624736  1.89912744
## 646 -0.499832005          4.00   -0.632994353  1.89220479
## 647 -0.499832005          4.50   -1.132826358  4.09891783
## 648 -0.499832005          5.00   -1.632658364  3.46958876
## 649 -0.499832005          5.50   -2.132490369  3.69255499
## 650 -0.499832005          6.00   -2.632322374  3.04745903
## 651 -0.068300042          4.00    0.549478454  3.87835831
## 652 -0.068300042          4.50    0.481178412  5.09956462
## 653 -0.068300042          5.00    0.412878370  5.17788368
## 654 -0.068300042          5.50    0.344578328  6.09999582
## 655 -0.068300042          6.00    0.276278285  4.90193542
## 656 -0.108683058          4.00   -0.719582357  1.85262870
## 657 -0.108683058          4.50   -0.828265415  4.42561994
## 658 -0.108683058          5.00   -0.936948474  4.30494065
## 659 -0.108683058          5.50   -1.045631532  3.78352646
## 660 -0.108683058          6.00   -1.154314591  4.44516728
## 661 -0.634160270          4.75   -0.286207888  4.30409144
## 662 -0.634160270          5.25   -0.920368158  5.30827226
## 663 -0.634160270          5.75   -1.554528428  3.50712913
## 664 -0.634160270          6.25   -2.188688698  5.26144244
## 665 -0.634160270          6.75   -2.822848969  3.44527796
## 666 -0.770341798          4.75   -0.391812356  2.78534756
## 667 -0.770341798          5.25   -1.162154154  4.82407728
## 668 -0.770341798          5.75   -1.932495953  3.61705078
## 669 -0.770341798          6.25   -2.702837751  2.83400820
## 670 -0.770341798          6.75   -3.473179549  3.74125444
## 671  0.294658476          4.75    0.200902975  4.87485006
## 672  0.294658476          5.25    0.495561451  5.70035391
## 673  0.294658476          5.75    0.790219927  5.65603927
## 674  0.294658476          6.25    1.084878403  7.69764388
## 675  0.294658476          6.75    1.379536880  8.84205627
## 676  0.518618099          4.75    0.492901563  5.15880180
## 677  0.518618099          5.25    1.011519661  6.97982702
## 678  0.518618099          5.75    1.530137760  5.89350450
## 679  0.518618099          6.25    2.048755858  8.78428137
## 680  0.518618099          6.75    2.567373957  7.57520364
## 681 -0.166376612          4.75   -0.495809238  4.35638543
## 682 -0.166376612          5.25   -0.662185850  4.80489405
## 683 -0.166376612          5.75   -0.828562462  4.23716599
## 684 -0.166376612          6.25   -0.994939074  5.32016423
## 685 -0.166376612          6.75   -1.161315686  5.46684061
## 686  0.002440142          4.75    0.139288783  3.30590271
## 687  0.002440142          5.25    0.141728925  4.83787148
## 688  0.002440142          5.75    0.144169067  6.66075644
## 689  0.002440142          6.25    0.146609209  5.42925587
## 690  0.002440142          6.75    0.149049352  6.09070673
## 691  0.389226680          4.75   -0.407546117  4.78492232
## 692  0.389226680          5.25   -0.018319437  4.23654947
## 693  0.389226680          5.75    0.370907243  4.29515697
## 694  0.389226680          6.25    0.760133923  7.41240302
## 695  0.389226680          6.75    1.149360603  8.92872788
## 696 -0.343201434          4.00    0.594758962  5.84501807
## 697 -0.343201434          4.50    0.251557527  4.71815013
## 698 -0.343201434          5.00   -0.091643907  5.81553560
## 699 -0.343201434          5.50   -0.434845341  5.55611659
## 700 -0.343201434          6.00   -0.778046775  5.86160076
## 701 -0.457816714          4.00    0.436555954  3.13096880
## 702 -0.457816714          4.50   -0.021260760  4.31580795
## 703 -0.457816714          5.00   -0.479077474  2.51675994
## 704 -0.457816714          5.50   -0.936894188  3.29226682
## 705 -0.457816714          6.00   -1.394710902  4.85493556
## 706  0.175583965          4.00    0.399920903  4.14783579
## 707  0.175583965          4.50    0.575504868  4.67228801
## 708  0.175583965          5.00    0.751088833  4.57672739
## 709  0.175583965          5.50    0.926672798  6.79648919
## 710  0.175583965          6.00    1.102256763  6.94308925
## 711  1.729338325          4.00   -0.070846304  2.80313973
## 712  1.729338325          4.50    1.658492021  4.99974229
## 713  1.729338325          5.00    3.387830346  8.54797901
## 714  1.729338325          5.50    5.117168671 10.72292107
## 715  1.729338325          6.00    6.846506996 13.02720997
## 716  0.911745560          4.75    0.159410647  4.45128899
## 717  0.911745560          5.25    1.071156207  6.84441256
## 718  0.911745560          5.75    1.982901767  8.32813905
## 719  0.911745560          6.25    2.894647327 10.71158227
## 720  0.911745560          6.75    3.806392886 10.47882608
## 721  1.016524247          4.75   -0.038745201  5.49512547
## 722  1.016524247          5.25    0.977779046  6.88513174
## 723  1.016524247          5.75    1.994303292  9.20649284
## 724  1.016524247          6.25    3.010827539  9.17179935
## 725  1.016524247          6.75    4.027351786  9.28437400
## 726 -0.704810745          4.75    0.288033211  6.33084298
## 727 -0.704810745          5.25   -0.416777533  4.67140610
## 728 -0.704810745          5.75   -1.121588278  3.58308422
## 729 -0.704810745          6.25   -1.826399022  4.83392941
## 730 -0.704810745          6.75   -2.531209767  3.87451460
## 731 -1.046708479          4.75   -0.649608884  3.63138703
## 732 -1.046708479          5.25   -1.696317364  2.39300989
## 733 -1.046708479          5.75   -2.743025843  3.30756331
## 734 -1.046708479          6.25   -3.789734323  0.74524403
## 735 -1.046708479          6.75   -4.836442802  0.25408075
## 736  0.104530560          4.75    0.444062422  4.69036363
## 737  0.104530560          5.25    0.548592983  4.75336812
## 738  0.104530560          5.75    0.653123543  5.99352693
## 739  0.104530560          6.25    0.757654103  6.54941427
## 740  0.104530560          6.75    0.862184663  5.91961444
## 741  0.371334641          4.00   -0.062638545  3.71395052
## 742  0.371334641          4.50    0.308696097  4.38908517
## 743  0.371334641          5.00    0.680030738  5.85262407
## 744  0.371334641          5.50    1.051365379  6.61060020
## 745  0.371334641          6.00    1.422700021  7.32791902
## 746  0.295145699          4.00   -0.623857780  2.51327673
## 747  0.295145699          4.50   -0.328712082  7.00607469
## 748  0.295145699          5.00   -0.033566383  4.88892014
## 749  0.295145699          5.50    0.261579315  4.50035023
## 750  0.295145699          6.00    0.556725014  7.02984683
## 
## [[2]]
##                       sample_size replication X.Intercept. time trt_1
## 1   list(level1 = 5, level2 = 60)           1            1    0     1
## 2   list(level1 = 5, level2 = 60)           1            1    1     1
## 3   list(level1 = 5, level2 = 60)           1            1    2     1
## 4   list(level1 = 5, level2 = 60)           1            1    3     1
## 5   list(level1 = 5, level2 = 60)           1            1    4     1
## 6   list(level1 = 5, level2 = 60)           1            1    0     0
## 7   list(level1 = 5, level2 = 60)           1            1    1     0
## 8   list(level1 = 5, level2 = 60)           1            1    2     0
## 9   list(level1 = 5, level2 = 60)           1            1    3     0
## 10  list(level1 = 5, level2 = 60)           1            1    4     0
## 11  list(level1 = 5, level2 = 60)           1            1    0     0
## 12  list(level1 = 5, level2 = 60)           1            1    1     0
## 13  list(level1 = 5, level2 = 60)           1            1    2     0
## 14  list(level1 = 5, level2 = 60)           1            1    3     0
## 15  list(level1 = 5, level2 = 60)           1            1    4     0
## 16  list(level1 = 5, level2 = 60)           1            1    0     0
## 17  list(level1 = 5, level2 = 60)           1            1    1     0
## 18  list(level1 = 5, level2 = 60)           1            1    2     0
## 19  list(level1 = 5, level2 = 60)           1            1    3     0
## 20  list(level1 = 5, level2 = 60)           1            1    4     0
## 21  list(level1 = 5, level2 = 60)           1            1    0     1
## 22  list(level1 = 5, level2 = 60)           1            1    1     1
## 23  list(level1 = 5, level2 = 60)           1            1    2     1
## 24  list(level1 = 5, level2 = 60)           1            1    3     1
## 25  list(level1 = 5, level2 = 60)           1            1    4     1
## 26  list(level1 = 5, level2 = 60)           1            1    0     0
## 27  list(level1 = 5, level2 = 60)           1            1    1     0
## 28  list(level1 = 5, level2 = 60)           1            1    2     0
## 29  list(level1 = 5, level2 = 60)           1            1    3     0
## 30  list(level1 = 5, level2 = 60)           1            1    4     0
## 31  list(level1 = 5, level2 = 60)           1            1    0     0
## 32  list(level1 = 5, level2 = 60)           1            1    1     0
## 33  list(level1 = 5, level2 = 60)           1            1    2     0
## 34  list(level1 = 5, level2 = 60)           1            1    3     0
## 35  list(level1 = 5, level2 = 60)           1            1    4     0
## 36  list(level1 = 5, level2 = 60)           1            1    0     0
## 37  list(level1 = 5, level2 = 60)           1            1    1     0
## 38  list(level1 = 5, level2 = 60)           1            1    2     0
## 39  list(level1 = 5, level2 = 60)           1            1    3     0
## 40  list(level1 = 5, level2 = 60)           1            1    4     0
## 41  list(level1 = 5, level2 = 60)           1            1    0     0
## 42  list(level1 = 5, level2 = 60)           1            1    1     0
## 43  list(level1 = 5, level2 = 60)           1            1    2     0
## 44  list(level1 = 5, level2 = 60)           1            1    3     0
## 45  list(level1 = 5, level2 = 60)           1            1    4     0
## 46  list(level1 = 5, level2 = 60)           1            1    0     1
## 47  list(level1 = 5, level2 = 60)           1            1    1     1
## 48  list(level1 = 5, level2 = 60)           1            1    2     1
## 49  list(level1 = 5, level2 = 60)           1            1    3     1
## 50  list(level1 = 5, level2 = 60)           1            1    4     1
## 51  list(level1 = 5, level2 = 60)           1            1    0     0
## 52  list(level1 = 5, level2 = 60)           1            1    1     0
## 53  list(level1 = 5, level2 = 60)           1            1    2     0
## 54  list(level1 = 5, level2 = 60)           1            1    3     0
## 55  list(level1 = 5, level2 = 60)           1            1    4     0
## 56  list(level1 = 5, level2 = 60)           1            1    0     0
## 57  list(level1 = 5, level2 = 60)           1            1    1     0
## 58  list(level1 = 5, level2 = 60)           1            1    2     0
## 59  list(level1 = 5, level2 = 60)           1            1    3     0
## 60  list(level1 = 5, level2 = 60)           1            1    4     0
## 61  list(level1 = 5, level2 = 60)           1            1    0     1
## 62  list(level1 = 5, level2 = 60)           1            1    1     1
## 63  list(level1 = 5, level2 = 60)           1            1    2     1
## 64  list(level1 = 5, level2 = 60)           1            1    3     1
## 65  list(level1 = 5, level2 = 60)           1            1    4     1
## 66  list(level1 = 5, level2 = 60)           1            1    0     0
## 67  list(level1 = 5, level2 = 60)           1            1    1     0
## 68  list(level1 = 5, level2 = 60)           1            1    2     0
## 69  list(level1 = 5, level2 = 60)           1            1    3     0
## 70  list(level1 = 5, level2 = 60)           1            1    4     0
## 71  list(level1 = 5, level2 = 60)           1            1    0     0
## 72  list(level1 = 5, level2 = 60)           1            1    1     0
## 73  list(level1 = 5, level2 = 60)           1            1    2     0
## 74  list(level1 = 5, level2 = 60)           1            1    3     0
## 75  list(level1 = 5, level2 = 60)           1            1    4     0
## 76  list(level1 = 5, level2 = 60)           1            1    0     1
## 77  list(level1 = 5, level2 = 60)           1            1    1     1
## 78  list(level1 = 5, level2 = 60)           1            1    2     1
## 79  list(level1 = 5, level2 = 60)           1            1    3     1
## 80  list(level1 = 5, level2 = 60)           1            1    4     1
## 81  list(level1 = 5, level2 = 60)           1            1    0     0
## 82  list(level1 = 5, level2 = 60)           1            1    1     0
## 83  list(level1 = 5, level2 = 60)           1            1    2     0
## 84  list(level1 = 5, level2 = 60)           1            1    3     0
## 85  list(level1 = 5, level2 = 60)           1            1    4     0
## 86  list(level1 = 5, level2 = 60)           1            1    0     1
## 87  list(level1 = 5, level2 = 60)           1            1    1     1
## 88  list(level1 = 5, level2 = 60)           1            1    2     1
## 89  list(level1 = 5, level2 = 60)           1            1    3     1
## 90  list(level1 = 5, level2 = 60)           1            1    4     1
## 91  list(level1 = 5, level2 = 60)           1            1    0     1
## 92  list(level1 = 5, level2 = 60)           1            1    1     1
## 93  list(level1 = 5, level2 = 60)           1            1    2     1
## 94  list(level1 = 5, level2 = 60)           1            1    3     1
## 95  list(level1 = 5, level2 = 60)           1            1    4     1
## 96  list(level1 = 5, level2 = 60)           1            1    0     1
## 97  list(level1 = 5, level2 = 60)           1            1    1     1
## 98  list(level1 = 5, level2 = 60)           1            1    2     1
## 99  list(level1 = 5, level2 = 60)           1            1    3     1
## 100 list(level1 = 5, level2 = 60)           1            1    4     1
## 101 list(level1 = 5, level2 = 60)           1            1    0     0
## 102 list(level1 = 5, level2 = 60)           1            1    1     0
## 103 list(level1 = 5, level2 = 60)           1            1    2     0
## 104 list(level1 = 5, level2 = 60)           1            1    3     0
## 105 list(level1 = 5, level2 = 60)           1            1    4     0
## 106 list(level1 = 5, level2 = 60)           1            1    0     1
## 107 list(level1 = 5, level2 = 60)           1            1    1     1
## 108 list(level1 = 5, level2 = 60)           1            1    2     1
## 109 list(level1 = 5, level2 = 60)           1            1    3     1
## 110 list(level1 = 5, level2 = 60)           1            1    4     1
## 111 list(level1 = 5, level2 = 60)           1            1    0     1
## 112 list(level1 = 5, level2 = 60)           1            1    1     1
## 113 list(level1 = 5, level2 = 60)           1            1    2     1
## 114 list(level1 = 5, level2 = 60)           1            1    3     1
## 115 list(level1 = 5, level2 = 60)           1            1    4     1
## 116 list(level1 = 5, level2 = 60)           1            1    0     1
## 117 list(level1 = 5, level2 = 60)           1            1    1     1
## 118 list(level1 = 5, level2 = 60)           1            1    2     1
## 119 list(level1 = 5, level2 = 60)           1            1    3     1
## 120 list(level1 = 5, level2 = 60)           1            1    4     1
## 121 list(level1 = 5, level2 = 60)           1            1    0     1
## 122 list(level1 = 5, level2 = 60)           1            1    1     1
## 123 list(level1 = 5, level2 = 60)           1            1    2     1
## 124 list(level1 = 5, level2 = 60)           1            1    3     1
## 125 list(level1 = 5, level2 = 60)           1            1    4     1
## 126 list(level1 = 5, level2 = 60)           1            1    0     1
## 127 list(level1 = 5, level2 = 60)           1            1    1     1
## 128 list(level1 = 5, level2 = 60)           1            1    2     1
## 129 list(level1 = 5, level2 = 60)           1            1    3     1
## 130 list(level1 = 5, level2 = 60)           1            1    4     1
## 131 list(level1 = 5, level2 = 60)           1            1    0     1
## 132 list(level1 = 5, level2 = 60)           1            1    1     1
## 133 list(level1 = 5, level2 = 60)           1            1    2     1
## 134 list(level1 = 5, level2 = 60)           1            1    3     1
## 135 list(level1 = 5, level2 = 60)           1            1    4     1
## 136 list(level1 = 5, level2 = 60)           1            1    0     1
## 137 list(level1 = 5, level2 = 60)           1            1    1     1
## 138 list(level1 = 5, level2 = 60)           1            1    2     1
## 139 list(level1 = 5, level2 = 60)           1            1    3     1
## 140 list(level1 = 5, level2 = 60)           1            1    4     1
## 141 list(level1 = 5, level2 = 60)           1            1    0     0
## 142 list(level1 = 5, level2 = 60)           1            1    1     0
## 143 list(level1 = 5, level2 = 60)           1            1    2     0
## 144 list(level1 = 5, level2 = 60)           1            1    3     0
## 145 list(level1 = 5, level2 = 60)           1            1    4     0
## 146 list(level1 = 5, level2 = 60)           1            1    0     1
## 147 list(level1 = 5, level2 = 60)           1            1    1     1
## 148 list(level1 = 5, level2 = 60)           1            1    2     1
## 149 list(level1 = 5, level2 = 60)           1            1    3     1
## 150 list(level1 = 5, level2 = 60)           1            1    4     1
## 151 list(level1 = 5, level2 = 60)           1            1    0     1
## 152 list(level1 = 5, level2 = 60)           1            1    1     1
## 153 list(level1 = 5, level2 = 60)           1            1    2     1
## 154 list(level1 = 5, level2 = 60)           1            1    3     1
## 155 list(level1 = 5, level2 = 60)           1            1    4     1
## 156 list(level1 = 5, level2 = 60)           1            1    0     1
## 157 list(level1 = 5, level2 = 60)           1            1    1     1
## 158 list(level1 = 5, level2 = 60)           1            1    2     1
## 159 list(level1 = 5, level2 = 60)           1            1    3     1
## 160 list(level1 = 5, level2 = 60)           1            1    4     1
## 161 list(level1 = 5, level2 = 60)           1            1    0     0
## 162 list(level1 = 5, level2 = 60)           1            1    1     0
## 163 list(level1 = 5, level2 = 60)           1            1    2     0
## 164 list(level1 = 5, level2 = 60)           1            1    3     0
## 165 list(level1 = 5, level2 = 60)           1            1    4     0
## 166 list(level1 = 5, level2 = 60)           1            1    0     0
## 167 list(level1 = 5, level2 = 60)           1            1    1     0
## 168 list(level1 = 5, level2 = 60)           1            1    2     0
## 169 list(level1 = 5, level2 = 60)           1            1    3     0
## 170 list(level1 = 5, level2 = 60)           1            1    4     0
## 171 list(level1 = 5, level2 = 60)           1            1    0     0
## 172 list(level1 = 5, level2 = 60)           1            1    1     0
## 173 list(level1 = 5, level2 = 60)           1            1    2     0
## 174 list(level1 = 5, level2 = 60)           1            1    3     0
## 175 list(level1 = 5, level2 = 60)           1            1    4     0
## 176 list(level1 = 5, level2 = 60)           1            1    0     1
## 177 list(level1 = 5, level2 = 60)           1            1    1     1
## 178 list(level1 = 5, level2 = 60)           1            1    2     1
## 179 list(level1 = 5, level2 = 60)           1            1    3     1
## 180 list(level1 = 5, level2 = 60)           1            1    4     1
## 181 list(level1 = 5, level2 = 60)           1            1    0     0
## 182 list(level1 = 5, level2 = 60)           1            1    1     0
## 183 list(level1 = 5, level2 = 60)           1            1    2     0
## 184 list(level1 = 5, level2 = 60)           1            1    3     0
## 185 list(level1 = 5, level2 = 60)           1            1    4     0
## 186 list(level1 = 5, level2 = 60)           1            1    0     0
## 187 list(level1 = 5, level2 = 60)           1            1    1     0
## 188 list(level1 = 5, level2 = 60)           1            1    2     0
## 189 list(level1 = 5, level2 = 60)           1            1    3     0
## 190 list(level1 = 5, level2 = 60)           1            1    4     0
## 191 list(level1 = 5, level2 = 60)           1            1    0     1
## 192 list(level1 = 5, level2 = 60)           1            1    1     1
## 193 list(level1 = 5, level2 = 60)           1            1    2     1
## 194 list(level1 = 5, level2 = 60)           1            1    3     1
## 195 list(level1 = 5, level2 = 60)           1            1    4     1
## 196 list(level1 = 5, level2 = 60)           1            1    0     0
## 197 list(level1 = 5, level2 = 60)           1            1    1     0
## 198 list(level1 = 5, level2 = 60)           1            1    2     0
## 199 list(level1 = 5, level2 = 60)           1            1    3     0
## 200 list(level1 = 5, level2 = 60)           1            1    4     0
## 201 list(level1 = 5, level2 = 60)           1            1    0     1
## 202 list(level1 = 5, level2 = 60)           1            1    1     1
## 203 list(level1 = 5, level2 = 60)           1            1    2     1
## 204 list(level1 = 5, level2 = 60)           1            1    3     1
## 205 list(level1 = 5, level2 = 60)           1            1    4     1
## 206 list(level1 = 5, level2 = 60)           1            1    0     1
## 207 list(level1 = 5, level2 = 60)           1            1    1     1
## 208 list(level1 = 5, level2 = 60)           1            1    2     1
## 209 list(level1 = 5, level2 = 60)           1            1    3     1
## 210 list(level1 = 5, level2 = 60)           1            1    4     1
## 211 list(level1 = 5, level2 = 60)           1            1    0     0
## 212 list(level1 = 5, level2 = 60)           1            1    1     0
## 213 list(level1 = 5, level2 = 60)           1            1    2     0
## 214 list(level1 = 5, level2 = 60)           1            1    3     0
## 215 list(level1 = 5, level2 = 60)           1            1    4     0
## 216 list(level1 = 5, level2 = 60)           1            1    0     1
## 217 list(level1 = 5, level2 = 60)           1            1    1     1
## 218 list(level1 = 5, level2 = 60)           1            1    2     1
## 219 list(level1 = 5, level2 = 60)           1            1    3     1
## 220 list(level1 = 5, level2 = 60)           1            1    4     1
## 221 list(level1 = 5, level2 = 60)           1            1    0     1
## 222 list(level1 = 5, level2 = 60)           1            1    1     1
## 223 list(level1 = 5, level2 = 60)           1            1    2     1
## 224 list(level1 = 5, level2 = 60)           1            1    3     1
## 225 list(level1 = 5, level2 = 60)           1            1    4     1
## 226 list(level1 = 5, level2 = 60)           1            1    0     0
## 227 list(level1 = 5, level2 = 60)           1            1    1     0
## 228 list(level1 = 5, level2 = 60)           1            1    2     0
## 229 list(level1 = 5, level2 = 60)           1            1    3     0
## 230 list(level1 = 5, level2 = 60)           1            1    4     0
## 231 list(level1 = 5, level2 = 60)           1            1    0     0
## 232 list(level1 = 5, level2 = 60)           1            1    1     0
## 233 list(level1 = 5, level2 = 60)           1            1    2     0
## 234 list(level1 = 5, level2 = 60)           1            1    3     0
## 235 list(level1 = 5, level2 = 60)           1            1    4     0
## 236 list(level1 = 5, level2 = 60)           1            1    0     0
## 237 list(level1 = 5, level2 = 60)           1            1    1     0
## 238 list(level1 = 5, level2 = 60)           1            1    2     0
## 239 list(level1 = 5, level2 = 60)           1            1    3     0
## 240 list(level1 = 5, level2 = 60)           1            1    4     0
## 241 list(level1 = 5, level2 = 60)           1            1    0     0
## 242 list(level1 = 5, level2 = 60)           1            1    1     0
## 243 list(level1 = 5, level2 = 60)           1            1    2     0
## 244 list(level1 = 5, level2 = 60)           1            1    3     0
## 245 list(level1 = 5, level2 = 60)           1            1    4     0
## 246 list(level1 = 5, level2 = 60)           1            1    0     0
## 247 list(level1 = 5, level2 = 60)           1            1    1     0
## 248 list(level1 = 5, level2 = 60)           1            1    2     0
## 249 list(level1 = 5, level2 = 60)           1            1    3     0
## 250 list(level1 = 5, level2 = 60)           1            1    4     0
## 251 list(level1 = 5, level2 = 60)           1            1    0     0
## 252 list(level1 = 5, level2 = 60)           1            1    1     0
## 253 list(level1 = 5, level2 = 60)           1            1    2     0
## 254 list(level1 = 5, level2 = 60)           1            1    3     0
## 255 list(level1 = 5, level2 = 60)           1            1    4     0
## 256 list(level1 = 5, level2 = 60)           1            1    0     0
## 257 list(level1 = 5, level2 = 60)           1            1    1     0
## 258 list(level1 = 5, level2 = 60)           1            1    2     0
## 259 list(level1 = 5, level2 = 60)           1            1    3     0
## 260 list(level1 = 5, level2 = 60)           1            1    4     0
## 261 list(level1 = 5, level2 = 60)           1            1    0     1
## 262 list(level1 = 5, level2 = 60)           1            1    1     1
## 263 list(level1 = 5, level2 = 60)           1            1    2     1
## 264 list(level1 = 5, level2 = 60)           1            1    3     1
## 265 list(level1 = 5, level2 = 60)           1            1    4     1
## 266 list(level1 = 5, level2 = 60)           1            1    0     1
## 267 list(level1 = 5, level2 = 60)           1            1    1     1
## 268 list(level1 = 5, level2 = 60)           1            1    2     1
## 269 list(level1 = 5, level2 = 60)           1            1    3     1
## 270 list(level1 = 5, level2 = 60)           1            1    4     1
## 271 list(level1 = 5, level2 = 60)           1            1    0     1
## 272 list(level1 = 5, level2 = 60)           1            1    1     1
## 273 list(level1 = 5, level2 = 60)           1            1    2     1
## 274 list(level1 = 5, level2 = 60)           1            1    3     1
## 275 list(level1 = 5, level2 = 60)           1            1    4     1
## 276 list(level1 = 5, level2 = 60)           1            1    0     1
## 277 list(level1 = 5, level2 = 60)           1            1    1     1
## 278 list(level1 = 5, level2 = 60)           1            1    2     1
## 279 list(level1 = 5, level2 = 60)           1            1    3     1
## 280 list(level1 = 5, level2 = 60)           1            1    4     1
## 281 list(level1 = 5, level2 = 60)           1            1    0     0
## 282 list(level1 = 5, level2 = 60)           1            1    1     0
## 283 list(level1 = 5, level2 = 60)           1            1    2     0
## 284 list(level1 = 5, level2 = 60)           1            1    3     0
## 285 list(level1 = 5, level2 = 60)           1            1    4     0
## 286 list(level1 = 5, level2 = 60)           1            1    0     1
## 287 list(level1 = 5, level2 = 60)           1            1    1     1
## 288 list(level1 = 5, level2 = 60)           1            1    2     1
## 289 list(level1 = 5, level2 = 60)           1            1    3     1
## 290 list(level1 = 5, level2 = 60)           1            1    4     1
## 291 list(level1 = 5, level2 = 60)           1            1    0     1
## 292 list(level1 = 5, level2 = 60)           1            1    1     1
## 293 list(level1 = 5, level2 = 60)           1            1    2     1
## 294 list(level1 = 5, level2 = 60)           1            1    3     1
## 295 list(level1 = 5, level2 = 60)           1            1    4     1
## 296 list(level1 = 5, level2 = 60)           1            1    0     0
## 297 list(level1 = 5, level2 = 60)           1            1    1     0
## 298 list(level1 = 5, level2 = 60)           1            1    2     0
## 299 list(level1 = 5, level2 = 60)           1            1    3     0
## 300 list(level1 = 5, level2 = 60)           1            1    4     0
## 301 list(level1 = 5, level2 = 60)           2            1    0     1
## 302 list(level1 = 5, level2 = 60)           2            1    1     1
## 303 list(level1 = 5, level2 = 60)           2            1    2     1
## 304 list(level1 = 5, level2 = 60)           2            1    3     1
## 305 list(level1 = 5, level2 = 60)           2            1    4     1
## 306 list(level1 = 5, level2 = 60)           2            1    0     1
## 307 list(level1 = 5, level2 = 60)           2            1    1     1
## 308 list(level1 = 5, level2 = 60)           2            1    2     1
## 309 list(level1 = 5, level2 = 60)           2            1    3     1
## 310 list(level1 = 5, level2 = 60)           2            1    4     1
## 311 list(level1 = 5, level2 = 60)           2            1    0     1
## 312 list(level1 = 5, level2 = 60)           2            1    1     1
## 313 list(level1 = 5, level2 = 60)           2            1    2     1
## 314 list(level1 = 5, level2 = 60)           2            1    3     1
## 315 list(level1 = 5, level2 = 60)           2            1    4     1
## 316 list(level1 = 5, level2 = 60)           2            1    0     0
## 317 list(level1 = 5, level2 = 60)           2            1    1     0
## 318 list(level1 = 5, level2 = 60)           2            1    2     0
## 319 list(level1 = 5, level2 = 60)           2            1    3     0
## 320 list(level1 = 5, level2 = 60)           2            1    4     0
## 321 list(level1 = 5, level2 = 60)           2            1    0     1
## 322 list(level1 = 5, level2 = 60)           2            1    1     1
## 323 list(level1 = 5, level2 = 60)           2            1    2     1
## 324 list(level1 = 5, level2 = 60)           2            1    3     1
## 325 list(level1 = 5, level2 = 60)           2            1    4     1
## 326 list(level1 = 5, level2 = 60)           2            1    0     1
## 327 list(level1 = 5, level2 = 60)           2            1    1     1
## 328 list(level1 = 5, level2 = 60)           2            1    2     1
## 329 list(level1 = 5, level2 = 60)           2            1    3     1
## 330 list(level1 = 5, level2 = 60)           2            1    4     1
## 331 list(level1 = 5, level2 = 60)           2            1    0     1
## 332 list(level1 = 5, level2 = 60)           2            1    1     1
## 333 list(level1 = 5, level2 = 60)           2            1    2     1
## 334 list(level1 = 5, level2 = 60)           2            1    3     1
## 335 list(level1 = 5, level2 = 60)           2            1    4     1
## 336 list(level1 = 5, level2 = 60)           2            1    0     1
## 337 list(level1 = 5, level2 = 60)           2            1    1     1
## 338 list(level1 = 5, level2 = 60)           2            1    2     1
## 339 list(level1 = 5, level2 = 60)           2            1    3     1
## 340 list(level1 = 5, level2 = 60)           2            1    4     1
## 341 list(level1 = 5, level2 = 60)           2            1    0     1
## 342 list(level1 = 5, level2 = 60)           2            1    1     1
## 343 list(level1 = 5, level2 = 60)           2            1    2     1
## 344 list(level1 = 5, level2 = 60)           2            1    3     1
## 345 list(level1 = 5, level2 = 60)           2            1    4     1
## 346 list(level1 = 5, level2 = 60)           2            1    0     1
## 347 list(level1 = 5, level2 = 60)           2            1    1     1
## 348 list(level1 = 5, level2 = 60)           2            1    2     1
## 349 list(level1 = 5, level2 = 60)           2            1    3     1
## 350 list(level1 = 5, level2 = 60)           2            1    4     1
## 351 list(level1 = 5, level2 = 60)           2            1    0     0
## 352 list(level1 = 5, level2 = 60)           2            1    1     0
## 353 list(level1 = 5, level2 = 60)           2            1    2     0
## 354 list(level1 = 5, level2 = 60)           2            1    3     0
## 355 list(level1 = 5, level2 = 60)           2            1    4     0
## 356 list(level1 = 5, level2 = 60)           2            1    0     1
## 357 list(level1 = 5, level2 = 60)           2            1    1     1
## 358 list(level1 = 5, level2 = 60)           2            1    2     1
## 359 list(level1 = 5, level2 = 60)           2            1    3     1
## 360 list(level1 = 5, level2 = 60)           2            1    4     1
## 361 list(level1 = 5, level2 = 60)           2            1    0     1
## 362 list(level1 = 5, level2 = 60)           2            1    1     1
## 363 list(level1 = 5, level2 = 60)           2            1    2     1
## 364 list(level1 = 5, level2 = 60)           2            1    3     1
## 365 list(level1 = 5, level2 = 60)           2            1    4     1
## 366 list(level1 = 5, level2 = 60)           2            1    0     1
## 367 list(level1 = 5, level2 = 60)           2            1    1     1
## 368 list(level1 = 5, level2 = 60)           2            1    2     1
## 369 list(level1 = 5, level2 = 60)           2            1    3     1
## 370 list(level1 = 5, level2 = 60)           2            1    4     1
## 371 list(level1 = 5, level2 = 60)           2            1    0     0
## 372 list(level1 = 5, level2 = 60)           2            1    1     0
## 373 list(level1 = 5, level2 = 60)           2            1    2     0
## 374 list(level1 = 5, level2 = 60)           2            1    3     0
## 375 list(level1 = 5, level2 = 60)           2            1    4     0
## 376 list(level1 = 5, level2 = 60)           2            1    0     1
## 377 list(level1 = 5, level2 = 60)           2            1    1     1
## 378 list(level1 = 5, level2 = 60)           2            1    2     1
## 379 list(level1 = 5, level2 = 60)           2            1    3     1
## 380 list(level1 = 5, level2 = 60)           2            1    4     1
## 381 list(level1 = 5, level2 = 60)           2            1    0     1
## 382 list(level1 = 5, level2 = 60)           2            1    1     1
## 383 list(level1 = 5, level2 = 60)           2            1    2     1
## 384 list(level1 = 5, level2 = 60)           2            1    3     1
## 385 list(level1 = 5, level2 = 60)           2            1    4     1
## 386 list(level1 = 5, level2 = 60)           2            1    0     0
## 387 list(level1 = 5, level2 = 60)           2            1    1     0
## 388 list(level1 = 5, level2 = 60)           2            1    2     0
## 389 list(level1 = 5, level2 = 60)           2            1    3     0
## 390 list(level1 = 5, level2 = 60)           2            1    4     0
## 391 list(level1 = 5, level2 = 60)           2            1    0     0
## 392 list(level1 = 5, level2 = 60)           2            1    1     0
## 393 list(level1 = 5, level2 = 60)           2            1    2     0
## 394 list(level1 = 5, level2 = 60)           2            1    3     0
## 395 list(level1 = 5, level2 = 60)           2            1    4     0
## 396 list(level1 = 5, level2 = 60)           2            1    0     0
## 397 list(level1 = 5, level2 = 60)           2            1    1     0
## 398 list(level1 = 5, level2 = 60)           2            1    2     0
## 399 list(level1 = 5, level2 = 60)           2            1    3     0
## 400 list(level1 = 5, level2 = 60)           2            1    4     0
## 401 list(level1 = 5, level2 = 60)           2            1    0     1
## 402 list(level1 = 5, level2 = 60)           2            1    1     1
## 403 list(level1 = 5, level2 = 60)           2            1    2     1
## 404 list(level1 = 5, level2 = 60)           2            1    3     1
## 405 list(level1 = 5, level2 = 60)           2            1    4     1
## 406 list(level1 = 5, level2 = 60)           2            1    0     0
## 407 list(level1 = 5, level2 = 60)           2            1    1     0
## 408 list(level1 = 5, level2 = 60)           2            1    2     0
## 409 list(level1 = 5, level2 = 60)           2            1    3     0
## 410 list(level1 = 5, level2 = 60)           2            1    4     0
## 411 list(level1 = 5, level2 = 60)           2            1    0     1
## 412 list(level1 = 5, level2 = 60)           2            1    1     1
## 413 list(level1 = 5, level2 = 60)           2            1    2     1
## 414 list(level1 = 5, level2 = 60)           2            1    3     1
## 415 list(level1 = 5, level2 = 60)           2            1    4     1
## 416 list(level1 = 5, level2 = 60)           2            1    0     0
## 417 list(level1 = 5, level2 = 60)           2            1    1     0
## 418 list(level1 = 5, level2 = 60)           2            1    2     0
## 419 list(level1 = 5, level2 = 60)           2            1    3     0
## 420 list(level1 = 5, level2 = 60)           2            1    4     0
## 421 list(level1 = 5, level2 = 60)           2            1    0     1
## 422 list(level1 = 5, level2 = 60)           2            1    1     1
## 423 list(level1 = 5, level2 = 60)           2            1    2     1
## 424 list(level1 = 5, level2 = 60)           2            1    3     1
## 425 list(level1 = 5, level2 = 60)           2            1    4     1
## 426 list(level1 = 5, level2 = 60)           2            1    0     1
## 427 list(level1 = 5, level2 = 60)           2            1    1     1
## 428 list(level1 = 5, level2 = 60)           2            1    2     1
## 429 list(level1 = 5, level2 = 60)           2            1    3     1
## 430 list(level1 = 5, level2 = 60)           2            1    4     1
## 431 list(level1 = 5, level2 = 60)           2            1    0     1
## 432 list(level1 = 5, level2 = 60)           2            1    1     1
## 433 list(level1 = 5, level2 = 60)           2            1    2     1
## 434 list(level1 = 5, level2 = 60)           2            1    3     1
## 435 list(level1 = 5, level2 = 60)           2            1    4     1
## 436 list(level1 = 5, level2 = 60)           2            1    0     0
## 437 list(level1 = 5, level2 = 60)           2            1    1     0
## 438 list(level1 = 5, level2 = 60)           2            1    2     0
## 439 list(level1 = 5, level2 = 60)           2            1    3     0
## 440 list(level1 = 5, level2 = 60)           2            1    4     0
## 441 list(level1 = 5, level2 = 60)           2            1    0     1
## 442 list(level1 = 5, level2 = 60)           2            1    1     1
## 443 list(level1 = 5, level2 = 60)           2            1    2     1
## 444 list(level1 = 5, level2 = 60)           2            1    3     1
## 445 list(level1 = 5, level2 = 60)           2            1    4     1
## 446 list(level1 = 5, level2 = 60)           2            1    0     0
## 447 list(level1 = 5, level2 = 60)           2            1    1     0
## 448 list(level1 = 5, level2 = 60)           2            1    2     0
## 449 list(level1 = 5, level2 = 60)           2            1    3     0
## 450 list(level1 = 5, level2 = 60)           2            1    4     0
## 451 list(level1 = 5, level2 = 60)           2            1    0     0
## 452 list(level1 = 5, level2 = 60)           2            1    1     0
## 453 list(level1 = 5, level2 = 60)           2            1    2     0
## 454 list(level1 = 5, level2 = 60)           2            1    3     0
## 455 list(level1 = 5, level2 = 60)           2            1    4     0
## 456 list(level1 = 5, level2 = 60)           2            1    0     1
## 457 list(level1 = 5, level2 = 60)           2            1    1     1
## 458 list(level1 = 5, level2 = 60)           2            1    2     1
## 459 list(level1 = 5, level2 = 60)           2            1    3     1
## 460 list(level1 = 5, level2 = 60)           2            1    4     1
## 461 list(level1 = 5, level2 = 60)           2            1    0     1
## 462 list(level1 = 5, level2 = 60)           2            1    1     1
## 463 list(level1 = 5, level2 = 60)           2            1    2     1
## 464 list(level1 = 5, level2 = 60)           2            1    3     1
## 465 list(level1 = 5, level2 = 60)           2            1    4     1
## 466 list(level1 = 5, level2 = 60)           2            1    0     0
## 467 list(level1 = 5, level2 = 60)           2            1    1     0
## 468 list(level1 = 5, level2 = 60)           2            1    2     0
## 469 list(level1 = 5, level2 = 60)           2            1    3     0
## 470 list(level1 = 5, level2 = 60)           2            1    4     0
## 471 list(level1 = 5, level2 = 60)           2            1    0     0
## 472 list(level1 = 5, level2 = 60)           2            1    1     0
## 473 list(level1 = 5, level2 = 60)           2            1    2     0
## 474 list(level1 = 5, level2 = 60)           2            1    3     0
## 475 list(level1 = 5, level2 = 60)           2            1    4     0
## 476 list(level1 = 5, level2 = 60)           2            1    0     0
## 477 list(level1 = 5, level2 = 60)           2            1    1     0
## 478 list(level1 = 5, level2 = 60)           2            1    2     0
## 479 list(level1 = 5, level2 = 60)           2            1    3     0
## 480 list(level1 = 5, level2 = 60)           2            1    4     0
## 481 list(level1 = 5, level2 = 60)           2            1    0     1
## 482 list(level1 = 5, level2 = 60)           2            1    1     1
## 483 list(level1 = 5, level2 = 60)           2            1    2     1
## 484 list(level1 = 5, level2 = 60)           2            1    3     1
## 485 list(level1 = 5, level2 = 60)           2            1    4     1
## 486 list(level1 = 5, level2 = 60)           2            1    0     1
## 487 list(level1 = 5, level2 = 60)           2            1    1     1
## 488 list(level1 = 5, level2 = 60)           2            1    2     1
## 489 list(level1 = 5, level2 = 60)           2            1    3     1
## 490 list(level1 = 5, level2 = 60)           2            1    4     1
## 491 list(level1 = 5, level2 = 60)           2            1    0     0
## 492 list(level1 = 5, level2 = 60)           2            1    1     0
## 493 list(level1 = 5, level2 = 60)           2            1    2     0
## 494 list(level1 = 5, level2 = 60)           2            1    3     0
## 495 list(level1 = 5, level2 = 60)           2            1    4     0
## 496 list(level1 = 5, level2 = 60)           2            1    0     0
## 497 list(level1 = 5, level2 = 60)           2            1    1     0
## 498 list(level1 = 5, level2 = 60)           2            1    2     0
## 499 list(level1 = 5, level2 = 60)           2            1    3     0
## 500 list(level1 = 5, level2 = 60)           2            1    4     0
## 501 list(level1 = 5, level2 = 60)           2            1    0     1
## 502 list(level1 = 5, level2 = 60)           2            1    1     1
## 503 list(level1 = 5, level2 = 60)           2            1    2     1
## 504 list(level1 = 5, level2 = 60)           2            1    3     1
## 505 list(level1 = 5, level2 = 60)           2            1    4     1
## 506 list(level1 = 5, level2 = 60)           2            1    0     1
## 507 list(level1 = 5, level2 = 60)           2            1    1     1
## 508 list(level1 = 5, level2 = 60)           2            1    2     1
## 509 list(level1 = 5, level2 = 60)           2            1    3     1
## 510 list(level1 = 5, level2 = 60)           2            1    4     1
## 511 list(level1 = 5, level2 = 60)           2            1    0     0
## 512 list(level1 = 5, level2 = 60)           2            1    1     0
## 513 list(level1 = 5, level2 = 60)           2            1    2     0
## 514 list(level1 = 5, level2 = 60)           2            1    3     0
## 515 list(level1 = 5, level2 = 60)           2            1    4     0
## 516 list(level1 = 5, level2 = 60)           2            1    0     1
## 517 list(level1 = 5, level2 = 60)           2            1    1     1
## 518 list(level1 = 5, level2 = 60)           2            1    2     1
## 519 list(level1 = 5, level2 = 60)           2            1    3     1
## 520 list(level1 = 5, level2 = 60)           2            1    4     1
## 521 list(level1 = 5, level2 = 60)           2            1    0     0
## 522 list(level1 = 5, level2 = 60)           2            1    1     0
## 523 list(level1 = 5, level2 = 60)           2            1    2     0
## 524 list(level1 = 5, level2 = 60)           2            1    3     0
## 525 list(level1 = 5, level2 = 60)           2            1    4     0
## 526 list(level1 = 5, level2 = 60)           2            1    0     0
## 527 list(level1 = 5, level2 = 60)           2            1    1     0
## 528 list(level1 = 5, level2 = 60)           2            1    2     0
## 529 list(level1 = 5, level2 = 60)           2            1    3     0
## 530 list(level1 = 5, level2 = 60)           2            1    4     0
## 531 list(level1 = 5, level2 = 60)           2            1    0     1
## 532 list(level1 = 5, level2 = 60)           2            1    1     1
## 533 list(level1 = 5, level2 = 60)           2            1    2     1
## 534 list(level1 = 5, level2 = 60)           2            1    3     1
## 535 list(level1 = 5, level2 = 60)           2            1    4     1
## 536 list(level1 = 5, level2 = 60)           2            1    0     0
## 537 list(level1 = 5, level2 = 60)           2            1    1     0
## 538 list(level1 = 5, level2 = 60)           2            1    2     0
## 539 list(level1 = 5, level2 = 60)           2            1    3     0
## 540 list(level1 = 5, level2 = 60)           2            1    4     0
## 541 list(level1 = 5, level2 = 60)           2            1    0     1
## 542 list(level1 = 5, level2 = 60)           2            1    1     1
## 543 list(level1 = 5, level2 = 60)           2            1    2     1
## 544 list(level1 = 5, level2 = 60)           2            1    3     1
## 545 list(level1 = 5, level2 = 60)           2            1    4     1
## 546 list(level1 = 5, level2 = 60)           2            1    0     1
## 547 list(level1 = 5, level2 = 60)           2            1    1     1
## 548 list(level1 = 5, level2 = 60)           2            1    2     1
## 549 list(level1 = 5, level2 = 60)           2            1    3     1
## 550 list(level1 = 5, level2 = 60)           2            1    4     1
## 551 list(level1 = 5, level2 = 60)           2            1    0     0
## 552 list(level1 = 5, level2 = 60)           2            1    1     0
## 553 list(level1 = 5, level2 = 60)           2            1    2     0
## 554 list(level1 = 5, level2 = 60)           2            1    3     0
## 555 list(level1 = 5, level2 = 60)           2            1    4     0
## 556 list(level1 = 5, level2 = 60)           2            1    0     1
## 557 list(level1 = 5, level2 = 60)           2            1    1     1
## 558 list(level1 = 5, level2 = 60)           2            1    2     1
## 559 list(level1 = 5, level2 = 60)           2            1    3     1
## 560 list(level1 = 5, level2 = 60)           2            1    4     1
## 561 list(level1 = 5, level2 = 60)           2            1    0     1
## 562 list(level1 = 5, level2 = 60)           2            1    1     1
## 563 list(level1 = 5, level2 = 60)           2            1    2     1
## 564 list(level1 = 5, level2 = 60)           2            1    3     1
## 565 list(level1 = 5, level2 = 60)           2            1    4     1
## 566 list(level1 = 5, level2 = 60)           2            1    0     0
## 567 list(level1 = 5, level2 = 60)           2            1    1     0
## 568 list(level1 = 5, level2 = 60)           2            1    2     0
## 569 list(level1 = 5, level2 = 60)           2            1    3     0
## 570 list(level1 = 5, level2 = 60)           2            1    4     0
## 571 list(level1 = 5, level2 = 60)           2            1    0     0
## 572 list(level1 = 5, level2 = 60)           2            1    1     0
## 573 list(level1 = 5, level2 = 60)           2            1    2     0
## 574 list(level1 = 5, level2 = 60)           2            1    3     0
## 575 list(level1 = 5, level2 = 60)           2            1    4     0
## 576 list(level1 = 5, level2 = 60)           2            1    0     0
## 577 list(level1 = 5, level2 = 60)           2            1    1     0
## 578 list(level1 = 5, level2 = 60)           2            1    2     0
## 579 list(level1 = 5, level2 = 60)           2            1    3     0
## 580 list(level1 = 5, level2 = 60)           2            1    4     0
## 581 list(level1 = 5, level2 = 60)           2            1    0     1
## 582 list(level1 = 5, level2 = 60)           2            1    1     1
## 583 list(level1 = 5, level2 = 60)           2            1    2     1
## 584 list(level1 = 5, level2 = 60)           2            1    3     1
## 585 list(level1 = 5, level2 = 60)           2            1    4     1
## 586 list(level1 = 5, level2 = 60)           2            1    0     0
## 587 list(level1 = 5, level2 = 60)           2            1    1     0
## 588 list(level1 = 5, level2 = 60)           2            1    2     0
## 589 list(level1 = 5, level2 = 60)           2            1    3     0
## 590 list(level1 = 5, level2 = 60)           2            1    4     0
## 591 list(level1 = 5, level2 = 60)           2            1    0     0
## 592 list(level1 = 5, level2 = 60)           2            1    1     0
## 593 list(level1 = 5, level2 = 60)           2            1    2     0
## 594 list(level1 = 5, level2 = 60)           2            1    3     0
## 595 list(level1 = 5, level2 = 60)           2            1    4     0
## 596 list(level1 = 5, level2 = 60)           2            1    0     0
## 597 list(level1 = 5, level2 = 60)           2            1    1     0
## 598 list(level1 = 5, level2 = 60)           2            1    2     0
## 599 list(level1 = 5, level2 = 60)           2            1    3     0
## 600 list(level1 = 5, level2 = 60)           2            1    4     0
## 601 list(level1 = 5, level2 = 60)           3            1    0     0
## 602 list(level1 = 5, level2 = 60)           3            1    1     0
## 603 list(level1 = 5, level2 = 60)           3            1    2     0
## 604 list(level1 = 5, level2 = 60)           3            1    3     0
## 605 list(level1 = 5, level2 = 60)           3            1    4     0
## 606 list(level1 = 5, level2 = 60)           3            1    0     0
## 607 list(level1 = 5, level2 = 60)           3            1    1     0
## 608 list(level1 = 5, level2 = 60)           3            1    2     0
## 609 list(level1 = 5, level2 = 60)           3            1    3     0
## 610 list(level1 = 5, level2 = 60)           3            1    4     0
## 611 list(level1 = 5, level2 = 60)           3            1    0     1
## 612 list(level1 = 5, level2 = 60)           3            1    1     1
## 613 list(level1 = 5, level2 = 60)           3            1    2     1
## 614 list(level1 = 5, level2 = 60)           3            1    3     1
## 615 list(level1 = 5, level2 = 60)           3            1    4     1
## 616 list(level1 = 5, level2 = 60)           3            1    0     1
## 617 list(level1 = 5, level2 = 60)           3            1    1     1
## 618 list(level1 = 5, level2 = 60)           3            1    2     1
## 619 list(level1 = 5, level2 = 60)           3            1    3     1
## 620 list(level1 = 5, level2 = 60)           3            1    4     1
## 621 list(level1 = 5, level2 = 60)           3            1    0     1
## 622 list(level1 = 5, level2 = 60)           3            1    1     1
## 623 list(level1 = 5, level2 = 60)           3            1    2     1
## 624 list(level1 = 5, level2 = 60)           3            1    3     1
## 625 list(level1 = 5, level2 = 60)           3            1    4     1
## 626 list(level1 = 5, level2 = 60)           3            1    0     0
## 627 list(level1 = 5, level2 = 60)           3            1    1     0
## 628 list(level1 = 5, level2 = 60)           3            1    2     0
## 629 list(level1 = 5, level2 = 60)           3            1    3     0
## 630 list(level1 = 5, level2 = 60)           3            1    4     0
## 631 list(level1 = 5, level2 = 60)           3            1    0     0
## 632 list(level1 = 5, level2 = 60)           3            1    1     0
## 633 list(level1 = 5, level2 = 60)           3            1    2     0
## 634 list(level1 = 5, level2 = 60)           3            1    3     0
## 635 list(level1 = 5, level2 = 60)           3            1    4     0
## 636 list(level1 = 5, level2 = 60)           3            1    0     1
## 637 list(level1 = 5, level2 = 60)           3            1    1     1
## 638 list(level1 = 5, level2 = 60)           3            1    2     1
## 639 list(level1 = 5, level2 = 60)           3            1    3     1
## 640 list(level1 = 5, level2 = 60)           3            1    4     1
## 641 list(level1 = 5, level2 = 60)           3            1    0     1
## 642 list(level1 = 5, level2 = 60)           3            1    1     1
## 643 list(level1 = 5, level2 = 60)           3            1    2     1
## 644 list(level1 = 5, level2 = 60)           3            1    3     1
## 645 list(level1 = 5, level2 = 60)           3            1    4     1
## 646 list(level1 = 5, level2 = 60)           3            1    0     0
## 647 list(level1 = 5, level2 = 60)           3            1    1     0
## 648 list(level1 = 5, level2 = 60)           3            1    2     0
## 649 list(level1 = 5, level2 = 60)           3            1    3     0
## 650 list(level1 = 5, level2 = 60)           3            1    4     0
## 651 list(level1 = 5, level2 = 60)           3            1    0     0
## 652 list(level1 = 5, level2 = 60)           3            1    1     0
## 653 list(level1 = 5, level2 = 60)           3            1    2     0
## 654 list(level1 = 5, level2 = 60)           3            1    3     0
## 655 list(level1 = 5, level2 = 60)           3            1    4     0
## 656 list(level1 = 5, level2 = 60)           3            1    0     1
## 657 list(level1 = 5, level2 = 60)           3            1    1     1
## 658 list(level1 = 5, level2 = 60)           3            1    2     1
## 659 list(level1 = 5, level2 = 60)           3            1    3     1
## 660 list(level1 = 5, level2 = 60)           3            1    4     1
## 661 list(level1 = 5, level2 = 60)           3            1    0     1
## 662 list(level1 = 5, level2 = 60)           3            1    1     1
## 663 list(level1 = 5, level2 = 60)           3            1    2     1
## 664 list(level1 = 5, level2 = 60)           3            1    3     1
## 665 list(level1 = 5, level2 = 60)           3            1    4     1
## 666 list(level1 = 5, level2 = 60)           3            1    0     0
## 667 list(level1 = 5, level2 = 60)           3            1    1     0
## 668 list(level1 = 5, level2 = 60)           3            1    2     0
## 669 list(level1 = 5, level2 = 60)           3            1    3     0
## 670 list(level1 = 5, level2 = 60)           3            1    4     0
## 671 list(level1 = 5, level2 = 60)           3            1    0     1
## 672 list(level1 = 5, level2 = 60)           3            1    1     1
## 673 list(level1 = 5, level2 = 60)           3            1    2     1
## 674 list(level1 = 5, level2 = 60)           3            1    3     1
## 675 list(level1 = 5, level2 = 60)           3            1    4     1
## 676 list(level1 = 5, level2 = 60)           3            1    0     0
## 677 list(level1 = 5, level2 = 60)           3            1    1     0
## 678 list(level1 = 5, level2 = 60)           3            1    2     0
## 679 list(level1 = 5, level2 = 60)           3            1    3     0
## 680 list(level1 = 5, level2 = 60)           3            1    4     0
## 681 list(level1 = 5, level2 = 60)           3            1    0     0
## 682 list(level1 = 5, level2 = 60)           3            1    1     0
## 683 list(level1 = 5, level2 = 60)           3            1    2     0
## 684 list(level1 = 5, level2 = 60)           3            1    3     0
## 685 list(level1 = 5, level2 = 60)           3            1    4     0
## 686 list(level1 = 5, level2 = 60)           3            1    0     0
## 687 list(level1 = 5, level2 = 60)           3            1    1     0
## 688 list(level1 = 5, level2 = 60)           3            1    2     0
## 689 list(level1 = 5, level2 = 60)           3            1    3     0
## 690 list(level1 = 5, level2 = 60)           3            1    4     0
## 691 list(level1 = 5, level2 = 60)           3            1    0     1
## 692 list(level1 = 5, level2 = 60)           3            1    1     1
## 693 list(level1 = 5, level2 = 60)           3            1    2     1
## 694 list(level1 = 5, level2 = 60)           3            1    3     1
## 695 list(level1 = 5, level2 = 60)           3            1    4     1
## 696 list(level1 = 5, level2 = 60)           3            1    0     1
## 697 list(level1 = 5, level2 = 60)           3            1    1     1
## 698 list(level1 = 5, level2 = 60)           3            1    2     1
## 699 list(level1 = 5, level2 = 60)           3            1    3     1
## 700 list(level1 = 5, level2 = 60)           3            1    4     1
## 701 list(level1 = 5, level2 = 60)           3            1    0     1
## 702 list(level1 = 5, level2 = 60)           3            1    1     1
## 703 list(level1 = 5, level2 = 60)           3            1    2     1
## 704 list(level1 = 5, level2 = 60)           3            1    3     1
## 705 list(level1 = 5, level2 = 60)           3            1    4     1
## 706 list(level1 = 5, level2 = 60)           3            1    0     1
## 707 list(level1 = 5, level2 = 60)           3            1    1     1
## 708 list(level1 = 5, level2 = 60)           3            1    2     1
## 709 list(level1 = 5, level2 = 60)           3            1    3     1
## 710 list(level1 = 5, level2 = 60)           3            1    4     1
## 711 list(level1 = 5, level2 = 60)           3            1    0     1
## 712 list(level1 = 5, level2 = 60)           3            1    1     1
## 713 list(level1 = 5, level2 = 60)           3            1    2     1
## 714 list(level1 = 5, level2 = 60)           3            1    3     1
## 715 list(level1 = 5, level2 = 60)           3            1    4     1
## 716 list(level1 = 5, level2 = 60)           3            1    0     1
## 717 list(level1 = 5, level2 = 60)           3            1    1     1
## 718 list(level1 = 5, level2 = 60)           3            1    2     1
## 719 list(level1 = 5, level2 = 60)           3            1    3     1
## 720 list(level1 = 5, level2 = 60)           3            1    4     1
## 721 list(level1 = 5, level2 = 60)           3            1    0     1
## 722 list(level1 = 5, level2 = 60)           3            1    1     1
## 723 list(level1 = 5, level2 = 60)           3            1    2     1
## 724 list(level1 = 5, level2 = 60)           3            1    3     1
## 725 list(level1 = 5, level2 = 60)           3            1    4     1
## 726 list(level1 = 5, level2 = 60)           3            1    0     0
## 727 list(level1 = 5, level2 = 60)           3            1    1     0
## 728 list(level1 = 5, level2 = 60)           3            1    2     0
## 729 list(level1 = 5, level2 = 60)           3            1    3     0
## 730 list(level1 = 5, level2 = 60)           3            1    4     0
## 731 list(level1 = 5, level2 = 60)           3            1    0     0
## 732 list(level1 = 5, level2 = 60)           3            1    1     0
## 733 list(level1 = 5, level2 = 60)           3            1    2     0
## 734 list(level1 = 5, level2 = 60)           3            1    3     0
## 735 list(level1 = 5, level2 = 60)           3            1    4     0
## 736 list(level1 = 5, level2 = 60)           3            1    0     0
## 737 list(level1 = 5, level2 = 60)           3            1    1     0
## 738 list(level1 = 5, level2 = 60)           3            1    2     0
## 739 list(level1 = 5, level2 = 60)           3            1    3     0
## 740 list(level1 = 5, level2 = 60)           3            1    4     0
## 741 list(level1 = 5, level2 = 60)           3            1    0     1
## 742 list(level1 = 5, level2 = 60)           3            1    1     1
## 743 list(level1 = 5, level2 = 60)           3            1    2     1
## 744 list(level1 = 5, level2 = 60)           3            1    3     1
## 745 list(level1 = 5, level2 = 60)           3            1    4     1
## 746 list(level1 = 5, level2 = 60)           3            1    0     0
## 747 list(level1 = 5, level2 = 60)           3            1    1     0
## 748 list(level1 = 5, level2 = 60)           3            1    2     0
## 749 list(level1 = 5, level2 = 60)           3            1    3     0
## 750 list(level1 = 5, level2 = 60)           3            1    4     0
## 751 list(level1 = 5, level2 = 60)           3            1    0     1
## 752 list(level1 = 5, level2 = 60)           3            1    1     1
## 753 list(level1 = 5, level2 = 60)           3            1    2     1
## 754 list(level1 = 5, level2 = 60)           3            1    3     1
## 755 list(level1 = 5, level2 = 60)           3            1    4     1
## 756 list(level1 = 5, level2 = 60)           3            1    0     1
## 757 list(level1 = 5, level2 = 60)           3            1    1     1
## 758 list(level1 = 5, level2 = 60)           3            1    2     1
## 759 list(level1 = 5, level2 = 60)           3            1    3     1
## 760 list(level1 = 5, level2 = 60)           3            1    4     1
## 761 list(level1 = 5, level2 = 60)           3            1    0     0
## 762 list(level1 = 5, level2 = 60)           3            1    1     0
## 763 list(level1 = 5, level2 = 60)           3            1    2     0
## 764 list(level1 = 5, level2 = 60)           3            1    3     0
## 765 list(level1 = 5, level2 = 60)           3            1    4     0
## 766 list(level1 = 5, level2 = 60)           3            1    0     0
## 767 list(level1 = 5, level2 = 60)           3            1    1     0
## 768 list(level1 = 5, level2 = 60)           3            1    2     0
## 769 list(level1 = 5, level2 = 60)           3            1    3     0
## 770 list(level1 = 5, level2 = 60)           3            1    4     0
## 771 list(level1 = 5, level2 = 60)           3            1    0     0
## 772 list(level1 = 5, level2 = 60)           3            1    1     0
## 773 list(level1 = 5, level2 = 60)           3            1    2     0
## 774 list(level1 = 5, level2 = 60)           3            1    3     0
## 775 list(level1 = 5, level2 = 60)           3            1    4     0
## 776 list(level1 = 5, level2 = 60)           3            1    0     1
## 777 list(level1 = 5, level2 = 60)           3            1    1     1
## 778 list(level1 = 5, level2 = 60)           3            1    2     1
## 779 list(level1 = 5, level2 = 60)           3            1    3     1
## 780 list(level1 = 5, level2 = 60)           3            1    4     1
## 781 list(level1 = 5, level2 = 60)           3            1    0     1
## 782 list(level1 = 5, level2 = 60)           3            1    1     1
## 783 list(level1 = 5, level2 = 60)           3            1    2     1
## 784 list(level1 = 5, level2 = 60)           3            1    3     1
## 785 list(level1 = 5, level2 = 60)           3            1    4     1
## 786 list(level1 = 5, level2 = 60)           3            1    0     0
## 787 list(level1 = 5, level2 = 60)           3            1    1     0
## 788 list(level1 = 5, level2 = 60)           3            1    2     0
## 789 list(level1 = 5, level2 = 60)           3            1    3     0
## 790 list(level1 = 5, level2 = 60)           3            1    4     0
## 791 list(level1 = 5, level2 = 60)           3            1    0     0
## 792 list(level1 = 5, level2 = 60)           3            1    1     0
## 793 list(level1 = 5, level2 = 60)           3            1    2     0
## 794 list(level1 = 5, level2 = 60)           3            1    3     0
## 795 list(level1 = 5, level2 = 60)           3            1    4     0
## 796 list(level1 = 5, level2 = 60)           3            1    0     0
## 797 list(level1 = 5, level2 = 60)           3            1    1     0
## 798 list(level1 = 5, level2 = 60)           3            1    2     0
## 799 list(level1 = 5, level2 = 60)           3            1    3     0
## 800 list(level1 = 5, level2 = 60)           3            1    4     0
## 801 list(level1 = 5, level2 = 60)           3            1    0     1
## 802 list(level1 = 5, level2 = 60)           3            1    1     1
## 803 list(level1 = 5, level2 = 60)           3            1    2     1
## 804 list(level1 = 5, level2 = 60)           3            1    3     1
## 805 list(level1 = 5, level2 = 60)           3            1    4     1
## 806 list(level1 = 5, level2 = 60)           3            1    0     1
## 807 list(level1 = 5, level2 = 60)           3            1    1     1
## 808 list(level1 = 5, level2 = 60)           3            1    2     1
## 809 list(level1 = 5, level2 = 60)           3            1    3     1
## 810 list(level1 = 5, level2 = 60)           3            1    4     1
## 811 list(level1 = 5, level2 = 60)           3            1    0     1
## 812 list(level1 = 5, level2 = 60)           3            1    1     1
## 813 list(level1 = 5, level2 = 60)           3            1    2     1
## 814 list(level1 = 5, level2 = 60)           3            1    3     1
## 815 list(level1 = 5, level2 = 60)           3            1    4     1
## 816 list(level1 = 5, level2 = 60)           3            1    0     0
## 817 list(level1 = 5, level2 = 60)           3            1    1     0
## 818 list(level1 = 5, level2 = 60)           3            1    2     0
## 819 list(level1 = 5, level2 = 60)           3            1    3     0
## 820 list(level1 = 5, level2 = 60)           3            1    4     0
## 821 list(level1 = 5, level2 = 60)           3            1    0     0
## 822 list(level1 = 5, level2 = 60)           3            1    1     0
## 823 list(level1 = 5, level2 = 60)           3            1    2     0
## 824 list(level1 = 5, level2 = 60)           3            1    3     0
## 825 list(level1 = 5, level2 = 60)           3            1    4     0
## 826 list(level1 = 5, level2 = 60)           3            1    0     1
## 827 list(level1 = 5, level2 = 60)           3            1    1     1
## 828 list(level1 = 5, level2 = 60)           3            1    2     1
## 829 list(level1 = 5, level2 = 60)           3            1    3     1
## 830 list(level1 = 5, level2 = 60)           3            1    4     1
## 831 list(level1 = 5, level2 = 60)           3            1    0     0
## 832 list(level1 = 5, level2 = 60)           3            1    1     0
## 833 list(level1 = 5, level2 = 60)           3            1    2     0
## 834 list(level1 = 5, level2 = 60)           3            1    3     0
## 835 list(level1 = 5, level2 = 60)           3            1    4     0
## 836 list(level1 = 5, level2 = 60)           3            1    0     0
## 837 list(level1 = 5, level2 = 60)           3            1    1     0
## 838 list(level1 = 5, level2 = 60)           3            1    2     0
## 839 list(level1 = 5, level2 = 60)           3            1    3     0
## 840 list(level1 = 5, level2 = 60)           3            1    4     0
## 841 list(level1 = 5, level2 = 60)           3            1    0     1
## 842 list(level1 = 5, level2 = 60)           3            1    1     1
## 843 list(level1 = 5, level2 = 60)           3            1    2     1
## 844 list(level1 = 5, level2 = 60)           3            1    3     1
## 845 list(level1 = 5, level2 = 60)           3            1    4     1
## 846 list(level1 = 5, level2 = 60)           3            1    0     1
## 847 list(level1 = 5, level2 = 60)           3            1    1     1
## 848 list(level1 = 5, level2 = 60)           3            1    2     1
## 849 list(level1 = 5, level2 = 60)           3            1    3     1
## 850 list(level1 = 5, level2 = 60)           3            1    4     1
## 851 list(level1 = 5, level2 = 60)           3            1    0     1
## 852 list(level1 = 5, level2 = 60)           3            1    1     1
## 853 list(level1 = 5, level2 = 60)           3            1    2     1
## 854 list(level1 = 5, level2 = 60)           3            1    3     1
## 855 list(level1 = 5, level2 = 60)           3            1    4     1
## 856 list(level1 = 5, level2 = 60)           3            1    0     0
## 857 list(level1 = 5, level2 = 60)           3            1    1     0
## 858 list(level1 = 5, level2 = 60)           3            1    2     0
## 859 list(level1 = 5, level2 = 60)           3            1    3     0
## 860 list(level1 = 5, level2 = 60)           3            1    4     0
## 861 list(level1 = 5, level2 = 60)           3            1    0     0
## 862 list(level1 = 5, level2 = 60)           3            1    1     0
## 863 list(level1 = 5, level2 = 60)           3            1    2     0
## 864 list(level1 = 5, level2 = 60)           3            1    3     0
## 865 list(level1 = 5, level2 = 60)           3            1    4     0
## 866 list(level1 = 5, level2 = 60)           3            1    0     1
## 867 list(level1 = 5, level2 = 60)           3            1    1     1
## 868 list(level1 = 5, level2 = 60)           3            1    2     1
## 869 list(level1 = 5, level2 = 60)           3            1    3     1
## 870 list(level1 = 5, level2 = 60)           3            1    4     1
## 871 list(level1 = 5, level2 = 60)           3            1    0     0
## 872 list(level1 = 5, level2 = 60)           3            1    1     0
## 873 list(level1 = 5, level2 = 60)           3            1    2     0
## 874 list(level1 = 5, level2 = 60)           3            1    3     0
## 875 list(level1 = 5, level2 = 60)           3            1    4     0
## 876 list(level1 = 5, level2 = 60)           3            1    0     1
## 877 list(level1 = 5, level2 = 60)           3            1    1     1
## 878 list(level1 = 5, level2 = 60)           3            1    2     1
## 879 list(level1 = 5, level2 = 60)           3            1    3     1
## 880 list(level1 = 5, level2 = 60)           3            1    4     1
## 881 list(level1 = 5, level2 = 60)           3            1    0     1
## 882 list(level1 = 5, level2 = 60)           3            1    1     1
## 883 list(level1 = 5, level2 = 60)           3            1    2     1
## 884 list(level1 = 5, level2 = 60)           3            1    3     1
## 885 list(level1 = 5, level2 = 60)           3            1    4     1
## 886 list(level1 = 5, level2 = 60)           3            1    0     1
## 887 list(level1 = 5, level2 = 60)           3            1    1     1
## 888 list(level1 = 5, level2 = 60)           3            1    2     1
## 889 list(level1 = 5, level2 = 60)           3            1    3     1
## 890 list(level1 = 5, level2 = 60)           3            1    4     1
## 891 list(level1 = 5, level2 = 60)           3            1    0     1
## 892 list(level1 = 5, level2 = 60)           3            1    1     1
## 893 list(level1 = 5, level2 = 60)           3            1    2     1
## 894 list(level1 = 5, level2 = 60)           3            1    3     1
## 895 list(level1 = 5, level2 = 60)           3            1    4     1
## 896 list(level1 = 5, level2 = 60)           3            1    0     1
## 897 list(level1 = 5, level2 = 60)           3            1    1     1
## 898 list(level1 = 5, level2 = 60)           3            1    2     1
## 899 list(level1 = 5, level2 = 60)           3            1    3     1
## 900 list(level1 = 5, level2 = 60)           3            1    4     1
##     time.trt_1     trt level1_id individual         error    int_clust
## 1            0 Placebo         1          1 -0.1052784310  0.136650758
## 2            1 Placebo         2          1 -0.1567961504  0.136650758
## 3            2 Placebo         3          1 -0.4271564253  0.136650758
## 4            3 Placebo         4          1 -1.9826789742  0.136650758
## 5            4 Placebo         5          1 -0.5349400475  0.136650758
## 6            0    Drug         1          2 -0.7750814035 -0.166724050
## 7            0    Drug         2          2  0.6228892378 -0.166724050
## 8            0    Drug         3          2  0.3882361968 -0.166724050
## 9            0    Drug         4          2  2.3119044889 -0.166724050
## 10           0    Drug         5          2  0.5578844649 -0.166724050
## 11           0    Drug         1          3 -0.8460621399  0.047061011
## 12           0    Drug         2          3  1.4877618212  0.047061011
## 13           0    Drug         3          3  0.5818122465  0.047061011
## 14           0    Drug         4          3 -0.6036227195  0.047061011
## 15           0    Drug         5          3 -0.3844743630  0.047061011
## 16           0    Drug         1          4  0.5754900070  0.826177643
## 17           0    Drug         2          4  0.7684619897  0.826177643
## 18           0    Drug         3          4 -0.5076780149  0.826177643
## 19           0    Drug         4          4 -0.7096897457  0.826177643
## 20           0    Drug         5          4  0.3960117254  0.826177643
## 21           0 Placebo         1          5 -0.1061730779 -0.666308748
## 22           1 Placebo         2          5 -0.2314777436 -0.666308748
## 23           2 Placebo         3          5 -0.7608386087 -0.666308748
## 24           3 Placebo         4          5  2.6475373746 -0.666308748
## 25           4 Placebo         5          5  0.1004246586 -0.666308748
## 26           0    Drug         1          6 -0.5816555711 -0.016469903
## 27           0    Drug         2          6 -0.0186877992 -0.016469903
## 28           0    Drug         3          6 -0.9284452162 -0.016469903
## 29           0    Drug         4          6 -1.1446055213 -0.016469903
## 30           0    Drug         5          6  0.4450355724 -0.016469903
## 31           0    Drug         1          7  0.4500302146 -0.068380840
## 32           0    Drug         2          7 -0.1088566425 -0.068380840
## 33           0    Drug         3          7  0.4029439662 -0.068380840
## 34           0    Drug         4          7 -0.1832091179 -0.068380840
## 35           0    Drug         5          7 -0.3386505183 -0.068380840
## 36           0    Drug         1          8  1.6554143436  0.435779331
## 37           0    Drug         2          8 -1.1740797722  0.435779331
## 38           0    Drug         3          8 -0.8030319136  0.435779331
## 39           0    Drug         4          8 -1.7653984717  0.435779331
## 40           0    Drug         5          8 -0.2941756730  0.435779331
## 41           0    Drug         1          9 -0.9160366755  0.334962346
## 42           0    Drug         2          9 -0.6114618510  0.334962346
## 43           0    Drug         3          9  1.7759862848  0.334962346
## 44           0    Drug         4          9 -0.3011406286  0.334962346
## 45           0    Drug         5          9 -0.7872723614  0.334962346
## 46           0 Placebo         1         10 -2.3268295512 -0.272286383
## 47           1 Placebo         2         10 -0.4158815028 -0.272286383
## 48           2 Placebo         3         10 -1.1099238340 -0.272286383
## 49           3 Placebo         4         10  1.3879537998 -0.272286383
## 50           4 Placebo         5         10 -0.8434025665 -0.272286383
## 51           0    Drug         1         11  2.7569189753 -0.662787906
## 52           0    Drug         2         11  0.6466988656 -0.662787906
## 53           0    Drug         3         11  0.4729977985 -0.662787906
## 54           0    Drug         4         11 -1.2879282789 -0.662787906
## 55           0    Drug         5         11 -0.1477553959 -0.662787906
## 56           0    Drug         1         12 -0.7740332027 -0.252554363
## 57           0    Drug         2         12 -0.2161014411 -0.252554363
## 58           0    Drug         3         12  1.3719327103 -0.252554363
## 59           0    Drug         4         12 -1.8149757514 -0.252554363
## 60           0    Drug         5         12 -1.2950091810 -0.252554363
## 61           0 Placebo         1         13 -0.8920482414 -0.003778655
## 62           1 Placebo         2         13  0.4344027863 -0.003778655
## 63           2 Placebo         3         13  0.1875869962 -0.003778655
## 64           3 Placebo         4         13  1.4175272451 -0.003778655
## 65           4 Placebo         5         13 -0.3299576324 -0.003778655
## 66           0    Drug         1         14  1.2216432572 -0.285819557
## 67           0    Drug         2         14  2.1913716747 -0.285819557
## 68           0    Drug         3         14  0.3832711844 -0.285819557
## 69           0    Drug         4         14 -0.7026878090 -0.285819557
## 70           0    Drug         5         14 -0.0292902973 -0.285819557
## 71           0    Drug         1         15  0.0547675999  0.383001214
## 72           0    Drug         2         15  0.3874309052  0.383001214
## 73           0    Drug         3         15  0.5850092722  0.383001214
## 74           0    Drug         4         15  0.5031875936  0.383001214
## 75           0    Drug         5         15 -0.8421649818  0.383001214
## 76           0 Placebo         1         16  0.6480167703 -0.199019686
## 77           1 Placebo         2         16  0.7304285066 -0.199019686
## 78           2 Placebo         3         16  0.8272762257 -0.199019686
## 79           3 Placebo         4         16  0.4547319450 -0.199019686
## 80           4 Placebo         5         16  1.1130811372 -0.199019686
## 81           0    Drug         1         17  1.1293639634  0.018704584
## 82           0    Drug         2         17  0.8210635368  0.018704584
## 83           0    Drug         3         17 -0.2930232591  0.018704584
## 84           0    Drug         4         17  1.5611857785  0.018704584
## 85           0    Drug         5         17 -1.7001733928  0.018704584
## 86           0 Placebo         1         18  0.8696654644  0.229593745
## 87           1 Placebo         2         18  0.3205151407  0.229593745
## 88           2 Placebo         3         18  1.4658662909  0.229593745
## 89           3 Placebo         4         18 -0.1447477876  0.229593745
## 90           4 Placebo         5         18  0.6014831363  0.229593745
## 91           0 Placebo         1         19 -0.7521093584  0.241817824
## 92           1 Placebo         2         19  1.2170048152  0.241817824
## 93           2 Placebo         3         19 -0.7871124686  0.241817824
## 94           3 Placebo         4         19 -1.2546014222  0.241817824
## 95           4 Placebo         5         19 -0.4329473965  0.241817824
## 96           0 Placebo         1         20  0.2928554680  1.027870272
## 97           1 Placebo         2         20  0.6344329650  1.027870272
## 98           2 Placebo         3         20  1.1043445607  1.027870272
## 99           3 Placebo         4         20 -0.5491796979  1.027870272
## 100          4 Placebo         5         20  0.2594116797  1.027870272
## 101          0    Drug         1         21  1.4164234988 -0.185239566
## 102          0    Drug         2         21  1.0881935267 -0.185239566
## 103          0    Drug         3         21  0.2145976811 -0.185239566
## 104          0    Drug         4         21  0.2002335004 -0.185239566
## 105          0    Drug         5         21  1.8419631926 -0.185239566
## 106          0 Placebo         1         22  0.8038091200 -0.206684409
## 107          1 Placebo         2         22 -0.3589217028 -0.206684409
## 108          2 Placebo         3         22  1.9541733041 -0.206684409
## 109          3 Placebo         4         22  0.3515511173 -0.206684409
## 110          4 Placebo         5         22 -0.8642957864 -0.206684409
## 111          0 Placebo         1         23 -0.4342868211 -1.209979395
## 112          1 Placebo         2         23 -0.3957912902 -1.209979395
## 113          2 Placebo         3         23  0.4126341414 -1.209979395
## 114          3 Placebo         4         23  0.1521404866 -1.209979395
## 115          4 Placebo         5         23  0.5793508853 -1.209979395
## 116          0 Placebo         1         24  0.0190001851 -0.026386604
## 117          1 Placebo         2         24 -0.4108685787 -0.026386604
## 118          2 Placebo         3         24  0.0107064494 -0.026386604
## 119          3 Placebo         4         24  0.9225938871 -0.026386604
## 120          4 Placebo         5         24 -0.7845993054 -0.026386604
## 121          0 Placebo         1         25 -0.6349554276 -0.404683469
## 122          1 Placebo         2         25  0.5830032142 -0.404683469
## 123          2 Placebo         3         25  0.3263482124 -0.404683469
## 124          3 Placebo         4         25  0.9420208278 -0.404683469
## 125          4 Placebo         5         25  0.1483521393 -0.404683469
## 126          0 Placebo         1         26 -0.3702405918  0.023431435
## 127          1 Placebo         2         26  1.2443157976  0.023431435
## 128          2 Placebo         3         26 -1.5673517529  0.023431435
## 129          3 Placebo         4         26  0.3349647958  0.023431435
## 130          4 Placebo         5         26 -0.9945651222  0.023431435
## 131          0 Placebo         1         27  0.4740365938  0.932547202
## 132          1 Placebo         2         27  0.1708136988  0.932547202
## 133          2 Placebo         3         27  1.3290960471  0.932547202
## 134          3 Placebo         4         27  0.0398885251  0.932547202
## 135          4 Placebo         5         27 -0.1151516118  0.932547202
## 136          0 Placebo         1         28  1.3812189530  0.095689671
## 137          1 Placebo         2         28 -0.7729927857  0.095689671
## 138          2 Placebo         3         28 -0.5501681262  0.095689671
## 139          3 Placebo         4         28 -0.1558832163  0.095689671
## 140          4 Placebo         5         28  1.4900742370  0.095689671
## 141          0    Drug         1         29 -1.0709580132 -0.285746428
## 142          0    Drug         2         29  0.8456067739 -0.285746428
## 143          0    Drug         3         29  0.9209212957 -0.285746428
## 144          0    Drug         4         29  1.7064335198 -0.285746428
## 145          0    Drug         5         29  1.1375488376 -0.285746428
## 146          0 Placebo         1         30  0.6402683763 -0.036319071
## 147          1 Placebo         2         30 -0.3692855136 -0.036319071
## 148          2 Placebo         3         30 -0.4294024526 -0.036319071
## 149          3 Placebo         4         30  0.1526388263 -0.036319071
## 150          4 Placebo         5         30 -0.8523155385 -0.036319071
## 151          0 Placebo         1         31 -0.2829268689 -0.006824772
## 152          1 Placebo         2         31 -0.1826263706 -0.006824772
## 153          2 Placebo         3         31  0.9892456835 -0.006824772
## 154          3 Placebo         4         31  0.4111946168 -0.006824772
## 155          4 Placebo         5         31  1.5817270592 -0.006824772
## 156          0 Placebo         1         32  2.1731148689 -0.366715009
## 157          1 Placebo         2         32  1.8219014986 -0.366715009
## 158          2 Placebo         3         32 -0.0584904718 -0.366715009
## 159          3 Placebo         4         32  0.4710500617 -0.366715009
## 160          4 Placebo         5         32  0.4036141120 -0.366715009
## 161          0    Drug         1         33  1.4374416445  0.129311909
## 162          0    Drug         2         33  1.2333901023  0.129311909
## 163          0    Drug         3         33  1.3177155204  0.129311909
## 164          0    Drug         4         33  0.2040283020  0.129311909
## 165          0    Drug         5         33 -0.5250817110  0.129311909
## 166          0    Drug         1         34 -0.7301814033 -0.142077375
## 167          0    Drug         2         34 -0.0618851826 -0.142077375
## 168          0    Drug         3         34  1.0512087107 -0.142077375
## 169          0    Drug         4         34  1.3039898336 -0.142077375
## 170          0    Drug         5         34 -0.4327040794 -0.142077375
## 171          0    Drug         1         35 -0.0595861862  0.651184877
## 172          0    Drug         2         35  0.4451160279  0.651184877
## 173          0    Drug         3         35 -1.6672212674  0.651184877
## 174          0    Drug         4         35 -0.4731587159  0.651184877
## 175          0    Drug         5         35 -0.7513800882  0.651184877
## 176          0 Placebo         1         36  0.8047401293 -0.356674981
## 177          1 Placebo         2         36 -0.7239066436 -0.356674981
## 178          2 Placebo         3         36  0.7902644388 -0.356674981
## 179          3 Placebo         4         36  1.0167012111 -0.356674981
## 180          4 Placebo         5         36  1.0010355771 -0.356674981
## 181          0    Drug         1         37 -2.0568750896  0.525962857
## 182          0    Drug         2         37  0.8122868234  0.525962857
## 183          0    Drug         3         37 -0.0303175650  0.525962857
## 184          0    Drug         4         37 -0.4795400669  0.525962857
## 185          0    Drug         5         37 -0.3736429717  0.525962857
## 186          0    Drug         1         38 -0.6375889651  0.255569343
## 187          0    Drug         2         38 -1.6159583043  0.255569343
## 188          0    Drug         3         38  0.4897478756  0.255569343
## 189          0    Drug         4         38  0.7816802696  0.255569343
## 190          0    Drug         5         38  2.5529985007  0.255569343
## 191          0 Placebo         1         39 -0.0547511659  0.073702618
## 192          1 Placebo         2         39  0.7298436322  0.073702618
## 193          2 Placebo         3         39  1.0213991175  0.073702618
## 194          3 Placebo         4         39 -1.8899262455  0.073702618
## 195          4 Placebo         5         39  0.1848153620  0.073702618
## 196          0    Drug         1         40  0.9560743177 -0.040725271
## 197          0    Drug         2         40 -0.8223020390 -0.040725271
## 198          0    Drug         3         40  0.8457117241 -0.040725271
## 199          0    Drug         4         40 -0.6773522640 -0.040725271
## 200          0    Drug         5         40 -0.5779320357 -0.040725271
## 201          0 Placebo         1         41  1.0989279455  0.393857659
## 202          1 Placebo         2         41  0.8409102298  0.393857659
## 203          2 Placebo         3         41  0.1929577613  0.393857659
## 204          3 Placebo         4         41 -0.7293390512  0.393857659
## 205          4 Placebo         5         41 -0.1529793870  0.393857659
## 206          0 Placebo         1         42 -0.9482346645  0.406909440
## 207          1 Placebo         2         42 -0.9199588248  0.406909440
## 208          2 Placebo         3         42 -1.3237923769  0.406909440
## 209          3 Placebo         4         42 -0.7097733703  0.406909440
## 210          4 Placebo         5         42  1.1145544804  0.406909440
## 211          0    Drug         1         43 -1.0031299080  0.374959993
## 212          0    Drug         2         43  0.7078272951  0.374959993
## 213          0    Drug         3         43  0.8914645759  0.374959993
## 214          0    Drug         4         43 -0.7244324089  0.374959993
## 215          0    Drug         5         43 -0.9384905617  0.374959993
## 216          0 Placebo         1         44 -0.3586686869 -0.996499041
## 217          1 Placebo         2         44 -0.1769804797 -0.996499041
## 218          2 Placebo         3         44  0.8115420181 -0.996499041
## 219          3 Placebo         4         44  1.4099207411 -0.996499041
## 220          4 Placebo         5         44 -0.7112643348 -0.996499041
## 221          0 Placebo         1         45 -0.3760633437  0.061645317
## 222          1 Placebo         2         45 -0.1267277660  0.061645317
## 223          2 Placebo         3         45 -0.0520927876  0.061645317
## 224          3 Placebo         4         45 -0.4529186763  0.061645317
## 225          4 Placebo         5         45 -0.4933820869  0.061645317
## 226          0    Drug         1         46  1.2190952377 -0.311546046
## 227          0    Drug         2         46  0.6411214600 -0.311546046
## 228          0    Drug         3         46 -0.4330312887 -0.311546046
## 229          0    Drug         4         46  0.1176267986 -0.311546046
## 230          0    Drug         5         46 -1.0529327876 -0.311546046
## 231          0    Drug         1         47 -0.5748546147 -0.041117582
## 232          0    Drug         2         47  0.7563417397 -0.041117582
## 233          0    Drug         3         47  0.0181011102 -0.041117582
## 234          0    Drug         4         47 -1.0579593566 -0.041117582
## 235          0    Drug         5         47 -1.6613281659 -0.041117582
## 236          0    Drug         1         48 -0.3685697853  0.250313520
## 237          0    Drug         2         48 -0.0370721774  0.250313520
## 238          0    Drug         3         48  1.9641377764  0.250313520
## 239          0    Drug         4         48  0.3775480351  0.250313520
## 240          0    Drug         5         48  0.2654286093  0.250313520
## 241          0    Drug         1         49  0.1354620952  0.549111157
## 242          0    Drug         2         49 -1.8829328304  0.549111157
## 243          0    Drug         3         49 -0.7709810173  0.549111157
## 244          0    Drug         4         49 -1.0456446194  0.549111157
## 245          0    Drug         5         49 -0.7398140713  0.549111157
## 246          0    Drug         1         50  0.4592024635  0.151203787
## 247          0    Drug         2         50 -0.8414488274  0.151203787
## 248          0    Drug         3         50 -1.1682183701  0.151203787
## 249          0    Drug         4         50  0.4408433254  0.151203787
## 250          0    Drug         5         50 -0.0868883084  0.151203787
## 251          0    Drug         1         51  0.0945381394  0.317035893
## 252          0    Drug         2         51  0.0516685056  0.317035893
## 253          0    Drug         3         51 -1.5307919428  0.317035893
## 254          0    Drug         4         51 -0.2841269955  0.317035893
## 255          0    Drug         5         51 -1.0181735218  0.317035893
## 256          0    Drug         1         52  1.7656391074  0.525909223
## 257          0    Drug         2         52 -0.7316359424  0.525909223
## 258          0    Drug         3         52  1.3937128958  0.525909223
## 259          0    Drug         4         52 -0.8233001442  0.525909223
## 260          0    Drug         5         52 -0.4472943478  0.525909223
## 261          0 Placebo         1         53  0.5058319875  0.373249673
## 262          1 Placebo         2         53 -0.8166009303  0.373249673
## 263          2 Placebo         3         53  3.1801404241  0.373249673
## 264          3 Placebo         4         53  0.8819658909  0.373249673
## 265          4 Placebo         5         53 -0.6710872929  0.373249673
## 266          0 Placebo         1         54  0.7409391979  0.481156876
## 267          1 Placebo         2         54  1.0197249357  0.481156876
## 268          2 Placebo         3         54 -1.5206242296  0.481156876
## 269          3 Placebo         4         54  1.4241879004  0.481156876
## 270          4 Placebo         5         54  0.4228484439  0.481156876
## 271          0 Placebo         1         55 -0.4893998502 -0.703126756
## 272          1 Placebo         2         55 -0.1529140638 -0.703126756
## 273          2 Placebo         3         55  1.3117757714 -0.703126756
## 274          3 Placebo         4         55  0.0888068717 -0.703126756
## 275          4 Placebo         5         55  1.3020048057 -0.703126756
## 276          0 Placebo         1         56  0.0658908337  0.233817533
## 277          1 Placebo         2         56 -1.3966906289  0.233817533
## 278          2 Placebo         3         56 -0.9545054308  0.233817533
## 279          3 Placebo         4         56 -0.4707675224  0.233817533
## 280          4 Placebo         5         56 -0.7581096252  0.233817533
## 281          0    Drug         1         57 -0.4707067044 -0.117236657
## 282          0    Drug         2         57  1.0645338274 -0.117236657
## 283          0    Drug         3         57 -0.0954023349 -0.117236657
## 284          0    Drug         4         57  0.8684669582 -0.117236657
## 285          0    Drug         5         57  0.5051611860 -0.117236657
## 286          0 Placebo         1         58 -0.4156620364  1.055369576
## 287          1 Placebo         2         58 -0.4673180451  1.055369576
## 288          2 Placebo         3         58 -0.3964571230  1.055369576
## 289          3 Placebo         4         58 -1.7364597122  1.055369576
## 290          4 Placebo         5         58  0.8193083190  1.055369576
## 291          0 Placebo         1         59 -0.2785228971 -0.222004120
## 292          1 Placebo         2         59 -1.3740644659 -0.222004120
## 293          2 Placebo         3         59 -0.8710870275 -0.222004120
## 294          3 Placebo         4         59  0.3145657026 -0.222004120
## 295          4 Placebo         5         59  0.7547250969 -0.222004120
## 296          0    Drug         1         60  1.6866524016 -0.098967071
## 297          0    Drug         2         60  1.2722958219 -0.098967071
## 298          0    Drug         3         60  1.2545505771 -0.098967071
## 299          0    Drug         4         60  1.3658398052 -0.098967071
## 300          0    Drug         5         60 -0.4810111191 -0.098967071
## 301          0 Placebo         1          1  0.9660755232 -0.438217661
## 302          1 Placebo         2          1  0.0327173397 -0.438217661
## 303          2 Placebo         3          1  1.3918658044 -0.438217661
## 304          3 Placebo         4          1  0.1873336235 -0.438217661
## 305          4 Placebo         5          1  0.9737596576 -0.438217661
## 306          0 Placebo         1          2  1.0574224558 -0.487892009
## 307          1 Placebo         2          2  0.7623377482 -0.487892009
## 308          2 Placebo         3          2 -0.7048490561 -0.487892009
## 309          3 Placebo         4          2 -2.0244175477 -0.487892009
## 310          4 Placebo         5          2 -0.0806798074 -0.487892009
## 311          0 Placebo         1          3 -0.6470775478 -0.449054579
## 312          1 Placebo         2          3  1.1590861255 -0.449054579
## 313          2 Placebo         3          3 -0.8424934854 -0.449054579
## 314          3 Placebo         4          3  0.0536067349 -0.449054579
## 315          4 Placebo         5          3 -0.1971840068 -0.449054579
## 316          0    Drug         1          4  0.8101148650 -0.272087659
## 317          0    Drug         2          4 -0.8091891958 -0.272087659
## 318          0    Drug         3          4  2.2807196839 -0.272087659
## 319          0    Drug         4          4 -1.4715417221 -0.272087659
## 320          0    Drug         5          4 -1.3744159820 -0.272087659
## 321          0 Placebo         1          5 -2.2880754124  0.342876907
## 322          1 Placebo         2          5  0.9257377604  0.342876907
## 323          2 Placebo         3          5  1.1092028306  0.342876907
## 324          3 Placebo         4          5  2.0599721789  0.342876907
## 325          4 Placebo         5          5  0.4044884652  0.342876907
## 326          0 Placebo         1          6 -0.3914785705  0.181957958
## 327          1 Placebo         2          6 -0.1400614753  0.181957958
## 328          2 Placebo         3          6  0.3764851275  0.181957958
## 329          3 Placebo         4          6 -1.0286653633  0.181957958
## 330          4 Placebo         5          6 -0.0927742860  0.181957958
## 331          0 Placebo         1          7 -0.5890613307  0.769529020
## 332          1 Placebo         2          7  0.1902380100  0.769529020
## 333          2 Placebo         3          7  0.3055176911  0.769529020
## 334          3 Placebo         4          7 -1.1332229785  0.769529020
## 335          4 Placebo         5          7 -0.0010352534  0.769529020
## 336          0 Placebo         1          8 -1.5454572930  0.299289049
## 337          1 Placebo         2          8 -0.7962499184  0.299289049
## 338          2 Placebo         3          8  0.6702010128  0.299289049
## 339          3 Placebo         4          8 -0.5896388611  0.299289049
## 340          4 Placebo         5          8 -0.4240533143  0.299289049
## 341          0 Placebo         1          9 -0.2712377727 -0.827261701
## 342          1 Placebo         2          9  0.8914858902 -0.827261701
## 343          2 Placebo         3          9  0.6500181295 -0.827261701
## 344          3 Placebo         4          9  0.3116714513 -0.827261701
## 345          4 Placebo         5          9 -0.1403452243 -0.827261701
## 346          0 Placebo         1         10  0.2142441820 -0.292210730
## 347          1 Placebo         2         10 -0.2935299209 -0.292210730
## 348          2 Placebo         3         10 -1.2758195036 -0.292210730
## 349          3 Placebo         4         10  1.3787133226 -0.292210730
## 350          4 Placebo         5         10 -0.2999938925 -0.292210730
## 351          0    Drug         1         11  0.5583969931  0.127648152
## 352          0    Drug         2         11  1.3431449931  0.127648152
## 353          0    Drug         3         11 -1.8960088610  0.127648152
## 354          0    Drug         4         11 -0.4628543993  0.127648152
## 355          0    Drug         5         11 -0.8536790060  0.127648152
## 356          0 Placebo         1         12 -1.4821966014 -0.097813736
## 357          1 Placebo         2         12 -1.1446852679 -0.097813736
## 358          2 Placebo         3         12  0.2151419851 -0.097813736
## 359          3 Placebo         4         12 -2.2917607513 -0.097813736
## 360          4 Placebo         5         12  0.5199385972 -0.097813736
## 361          0 Placebo         1         13 -0.4153611714  0.108904128
## 362          1 Placebo         2         13 -1.6311367328  0.108904128
## 363          2 Placebo         3         13 -1.5684912371  0.108904128
## 364          3 Placebo         4         13  2.3195314939  0.108904128
## 365          4 Placebo         5         13  0.1336441509  0.108904128
## 366          0 Placebo         1         14  0.0111268607  0.621515585
## 367          1 Placebo         2         14  0.0572893506  0.621515585
## 368          2 Placebo         3         14  1.4987556389  0.621515585
## 369          3 Placebo         4         14  0.7283527776  0.621515585
## 370          4 Placebo         5         14 -1.4337203615  0.621515585
## 371          0    Drug         1         15  0.7323994946  0.052834180
## 372          0    Drug         2         15  0.6156133643  0.052834180
## 373          0    Drug         3         15  1.1168554681  0.052834180
## 374          0    Drug         4         15  0.3486286450  0.052834180
## 375          0    Drug         5         15  1.4480614494  0.052834180
## 376          0 Placebo         1         16  0.0276431144 -0.594275703
## 377          1 Placebo         2         16  2.2527119528 -0.594275703
## 378          2 Placebo         3         16  1.1354102544 -0.594275703
## 379          3 Placebo         4         16 -1.4715853650 -0.594275703
## 380          4 Placebo         5         16  0.1783755835 -0.594275703
## 381          0 Placebo         1         17  0.7976419024 -0.023250042
## 382          1 Placebo         2         17  1.2578286357 -0.023250042
## 383          2 Placebo         3         17 -0.3444141536 -0.023250042
## 384          3 Placebo         4         17  0.8129786610 -0.023250042
## 385          4 Placebo         5         17 -0.6335743204 -0.023250042
## 386          0    Drug         1         18 -0.2889143002  0.328963721
## 387          0    Drug         2         18  1.1399116837  0.328963721
## 388          0    Drug         3         18 -0.5137845683  0.328963721
## 389          0    Drug         4         18 -1.1592718516  0.328963721
## 390          0    Drug         5         18 -1.6323149672  0.328963721
## 391          0    Drug         1         19  0.2339821045 -0.461735174
## 392          0    Drug         2         19 -0.9601742102 -0.461735174
## 393          0    Drug         3         19 -0.3583349271 -0.461735174
## 394          0    Drug         4         19  0.1138419761 -0.461735174
## 395          0    Drug         5         19 -0.8929195814 -0.461735174
## 396          0    Drug         1         20  0.5838260567 -0.478626208
## 397          0    Drug         2         20  0.7525959394 -0.478626208
## 398          0    Drug         3         20 -0.8137637776 -0.478626208
## 399          0    Drug         4         20 -0.8639480402 -0.478626208
## 400          0    Drug         5         20 -1.9438281140 -0.478626208
## 401          0 Placebo         1         21 -0.3627405497  0.375243053
## 402          1 Placebo         2         21 -0.7090969472  0.375243053
## 403          2 Placebo         3         21  0.1431652701  0.375243053
## 404          3 Placebo         4         21 -1.0561132869  0.375243053
## 405          4 Placebo         5         21  1.0778012954  0.375243053
## 406          0    Drug         1         22 -1.0182496369 -0.498676255
## 407          0    Drug         2         22  0.1497160334 -0.498676255
## 408          0    Drug         3         22  1.3547809175 -0.498676255
## 409          0    Drug         4         22  0.7256099881 -0.498676255
## 410          0    Drug         5         22 -1.7418707139 -0.498676255
## 411          0 Placebo         1         23 -1.1639154469  1.107488510
## 412          1 Placebo         2         23  1.0600142522  1.107488510
## 413          2 Placebo         3         23 -1.2882869229  1.107488510
## 414          3 Placebo         4         23 -1.1883373642  1.107488510
## 415          4 Placebo         5         23  0.1109635799  1.107488510
## 416          0    Drug         1         24 -0.7084566590  0.049785979
## 417          0    Drug         2         24 -0.8735693245  0.049785979
## 418          0    Drug         3         24  0.1893683262  0.049785979
## 419          0    Drug         4         24  0.6419196805  0.049785979
## 420          0    Drug         5         24 -1.0644684275  0.049785979
## 421          0 Placebo         1         25  1.3468153239 -0.292931913
## 422          1 Placebo         2         25  0.3089261919 -0.292931913
## 423          2 Placebo         3         25 -0.6625175776 -0.292931913
## 424          3 Placebo         4         25  0.2700590698 -0.292931913
## 425          4 Placebo         5         25  0.9748911494 -0.292931913
## 426          0 Placebo         1         26 -0.2386174743 -0.675115055
## 427          1 Placebo         2         26 -1.1709920288 -0.675115055
## 428          2 Placebo         3         26 -2.1110192382 -0.675115055
## 429          3 Placebo         4         26  1.0964401418 -0.675115055
## 430          4 Placebo         5         26 -1.4350229036 -0.675115055
## 431          0 Placebo         1         27 -1.0374784293 -0.888770473
## 432          1 Placebo         2         27  0.4566898143 -0.888770473
## 433          2 Placebo         3         27  1.3702778414 -0.888770473
## 434          3 Placebo         4         27 -0.5759724610 -0.888770473
## 435          4 Placebo         5         27  0.4049010024 -0.888770473
## 436          0    Drug         1         28  0.3159903101  0.300011958
## 437          0    Drug         2         28  1.1714535610  0.300011958
## 438          0    Drug         3         28  1.7075228903  0.300011958
## 439          0    Drug         4         28 -0.8389159290  0.300011958
## 440          0    Drug         5         28 -2.8439183306  0.300011958
## 441          0 Placebo         1         29  1.8123257983 -0.652512429
## 442          1 Placebo         2         29  1.2890763151 -0.652512429
## 443          2 Placebo         3         29 -2.1623955819 -0.652512429
## 444          3 Placebo         4         29 -1.0015439742 -0.652512429
## 445          4 Placebo         5         29 -0.8723576870 -0.652512429
## 446          0    Drug         1         30 -1.1612689870 -0.312081092
## 447          0    Drug         2         30  0.7412624111 -0.312081092
## 448          0    Drug         3         30 -0.6813613341 -0.312081092
## 449          0    Drug         4         30  0.1218197823 -0.312081092
## 450          0    Drug         5         30  0.6823545926 -0.312081092
## 451          0    Drug         1         31  0.7728445583 -0.285134958
## 452          0    Drug         2         31 -1.0197980976 -0.285134958
## 453          0    Drug         3         31  0.3380375298 -0.285134958
## 454          0    Drug         4         31  1.0235927768 -0.285134958
## 455          0    Drug         5         31 -2.9148229183 -0.285134958
## 456          0 Placebo         1         32 -0.8722379775 -1.097086238
## 457          1 Placebo         2         32  0.0468854986 -1.097086238
## 458          2 Placebo         3         32  0.6119862769 -1.097086238
## 459          3 Placebo         4         32 -1.0613084877 -1.097086238
## 460          4 Placebo         5         32  0.7281364676 -1.097086238
## 461          0 Placebo         1         33  0.5324330952 -0.739571222
## 462          1 Placebo         2         33 -0.5197042761 -0.739571222
## 463          2 Placebo         3         33  1.3046560922 -0.739571222
## 464          3 Placebo         4         33  0.1497869006 -0.739571222
## 465          4 Placebo         5         33  0.6418902123 -0.739571222
## 466          0    Drug         1         34 -0.4391793277 -0.087853424
## 467          0    Drug         2         34  1.1249008258 -0.087853424
## 468          0    Drug         3         34 -0.0210907157 -0.087853424
## 469          0    Drug         4         34  0.1027352505 -0.087853424
## 470          0    Drug         5         34  0.6038788140 -0.087853424
## 471          0    Drug         1         35 -0.6548048401  0.414312474
## 472          0    Drug         2         35 -0.5801010967  0.414312474
## 473          0    Drug         3         35 -0.4407528239  0.414312474
## 474          0    Drug         4         35  1.2620177858  0.414312474
## 475          0    Drug         5         35  0.9163921636  0.414312474
## 476          0    Drug         1         36  1.3223128229 -0.192425492
## 477          0    Drug         2         36 -0.9972756770 -0.192425492
## 478          0    Drug         3         36  1.2417644162 -0.192425492
## 479          0    Drug         4         36 -1.6612540616 -0.192425492
## 480          0    Drug         5         36 -1.7854006053 -0.192425492
## 481          0 Placebo         1         37 -1.2148938895 -0.236931275
## 482          1 Placebo         2         37 -0.5988503936 -0.236931275
## 483          2 Placebo         3         37  2.8848863082 -0.236931275
## 484          3 Placebo         4         37 -0.6698567031 -0.236931275
## 485          4 Placebo         5         37 -0.0258272776 -0.236931275
## 486          0 Placebo         1         38 -0.5437517608  0.352836449
## 487          1 Placebo         2         38  1.4858745809  0.352836449
## 488          2 Placebo         3         38  1.1482863069  0.352836449
## 489          3 Placebo         4         38 -0.2648261719  0.352836449
## 490          4 Placebo         5         38  1.3603800687  0.352836449
## 491          0    Drug         1         39  1.2300350574 -0.403745662
## 492          0    Drug         2         39  0.9659360716 -0.403745662
## 493          0    Drug         3         39  1.4018247339 -0.403745662
## 494          0    Drug         4         39  0.4850382798 -0.403745662
## 495          0    Drug         5         39  0.0748199742 -0.403745662
## 496          0    Drug         1         40 -0.1071629928 -0.359627733
## 497          0    Drug         2         40  1.0264299404 -0.359627733
## 498          0    Drug         3         40 -0.9227642859 -0.359627733
## 499          0    Drug         4         40  1.0284433040 -0.359627733
## 500          0    Drug         5         40 -0.0772682726 -0.359627733
## 501          0 Placebo         1         41  1.6847808023  0.144649101
## 502          1 Placebo         2         41 -0.1431329962  0.144649101
## 503          2 Placebo         3         41  0.8263635869  0.144649101
## 504          3 Placebo         4         41 -1.2065200405  0.144649101
## 505          4 Placebo         5         41 -1.4812531535  0.144649101
## 506          0 Placebo         1         42 -1.4670548840  0.713075253
## 507          1 Placebo         2         42 -0.2245783989  0.713075253
## 508          2 Placebo         3         42 -0.6127290742  0.713075253
## 509          3 Placebo         4         42  0.5595118712  0.713075253
## 510          4 Placebo         5         42  0.3610706551  0.713075253
## 511          0    Drug         1         43 -0.1474700034 -0.352013326
## 512          0    Drug         2         43  1.9500693041 -0.352013326
## 513          0    Drug         3         43  3.1241253228 -0.352013326
## 514          0    Drug         4         43 -0.2603954318 -0.352013326
## 515          0    Drug         5         43  0.3632149215 -0.352013326
## 516          0 Placebo         1         44  2.4350010647 -1.044994468
## 517          1 Placebo         2         44  0.3451231642 -1.044994468
## 518          2 Placebo         3         44  0.3427003949 -1.044994468
## 519          3 Placebo         4         44 -0.6496513528 -1.044994468
## 520          4 Placebo         5         44  1.3043738204 -1.044994468
## 521          0    Drug         1         45  0.9880854849 -0.164324421
## 522          0    Drug         2         45  0.7202365023 -0.164324421
## 523          0    Drug         3         45  0.1476277037 -0.164324421
## 524          0    Drug         4         45 -0.4765714464 -0.164324421
## 525          0    Drug         5         45 -0.6288781969 -0.164324421
## 526          0    Drug         1         46  0.0306360930 -0.275847930
## 527          0    Drug         2         46 -0.8363055891 -0.275847930
## 528          0    Drug         3         46  1.9109721306 -0.275847930
## 529          0    Drug         4         46 -1.2994753005 -0.275847930
## 530          0    Drug         5         46 -0.6077776395 -0.275847930
## 531          0 Placebo         1         47  0.0907368195  0.103406435
## 532          1 Placebo         2         47 -0.8340204875  0.103406435
## 533          2 Placebo         3         47 -0.1805347258  0.103406435
## 534          3 Placebo         4         47  1.2847894867  0.103406435
## 535          4 Placebo         5         47  1.8919233214  0.103406435
## 536          0    Drug         1         48  0.8455517790 -0.031667358
## 537          0    Drug         2         48  0.6968915392 -0.031667358
## 538          0    Drug         3         48 -1.3026731703 -0.031667358
## 539          0    Drug         4         48  1.5758376441 -0.031667358
## 540          0    Drug         5         48 -0.6561479499 -0.031667358
## 541          0 Placebo         1         49 -0.2306615492  0.533637643
## 542          1 Placebo         2         49  0.7383148792  0.533637643
## 543          2 Placebo         3         49  0.7959995102  0.533637643
## 544          3 Placebo         4         49  1.8022517924  0.533637643
## 545          4 Placebo         5         49 -1.5781624040  0.533637643
## 546          0 Placebo         1         50  0.6955211130 -0.274260436
## 547          1 Placebo         2         50 -0.4383422506 -0.274260436
## 548          2 Placebo         3         50 -0.4824018741 -0.274260436
## 549          3 Placebo         4         50 -0.0416603728 -0.274260436
## 550          4 Placebo         5         50 -2.4028155851 -0.274260436
## 551          0    Drug         1         51 -0.0665406574 -0.376665229
## 552          0    Drug         2         51  0.6669191877 -0.376665229
## 553          0    Drug         3         51  0.8321730171 -0.376665229
## 554          0    Drug         4         51 -1.2680264406 -0.376665229
## 555          0    Drug         5         51  0.5850775776 -0.376665229
## 556          0 Placebo         1         52  0.7573615725  0.070934588
## 557          1 Placebo         2         52 -0.1728091484  0.070934588
## 558          2 Placebo         3         52 -1.2594746152  0.070934588
## 559          3 Placebo         4         52 -1.0530297820  0.070934588
## 560          4 Placebo         5         52  0.6674265750  0.070934588
## 561          0 Placebo         1         53  0.7098774185 -0.376753744
## 562          1 Placebo         2         53  1.5349033155 -0.376753744
## 563          2 Placebo         3         53 -0.0273372424 -0.376753744
## 564          3 Placebo         4         53 -0.0403183935 -0.376753744
## 565          4 Placebo         5         53  1.7234442380 -0.376753744
## 566          0    Drug         1         54  0.2411026044 -0.257503291
## 567          0    Drug         2         54  0.1735095987 -0.257503291
## 568          0    Drug         3         54  0.0455340479 -0.257503291
## 569          0    Drug         4         54 -1.3523047641 -0.257503291
## 570          0    Drug         5         54  0.5710150311 -0.257503291
## 571          0    Drug         1         55  0.3467087197 -0.961208105
## 572          0    Drug         2         55 -1.3225326044 -0.961208105
## 573          0    Drug         3         55  2.0513659276 -0.961208105
## 574          0    Drug         4         55 -0.2227746729 -0.961208105
## 575          0    Drug         5         55 -0.9379637369 -0.961208105
## 576          0    Drug         1         56 -1.1595254732 -0.161735975
## 577          0    Drug         2         56 -1.3221546758 -0.161735975
## 578          0    Drug         3         56 -0.5035066902 -0.161735975
## 579          0    Drug         4         56 -0.2656731816 -0.161735975
## 580          0    Drug         5         56  0.3059086088 -0.161735975
## 581          0 Placebo         1         57  1.6185104875 -0.416387036
## 582          1 Placebo         2         57  0.0356525955 -0.416387036
## 583          2 Placebo         3         57 -0.3629612031 -0.416387036
## 584          3 Placebo         4         57  1.1089503665 -0.416387036
## 585          4 Placebo         5         57 -0.7210727561 -0.416387036
## 586          0    Drug         1         58 -2.5006176602  0.809759506
## 587          0    Drug         2         58  0.9937898962  0.809759506
## 588          0    Drug         3         58  0.1973377649  0.809759506
## 589          0    Drug         4         58  0.6690228217  0.809759506
## 590          0    Drug         5         58  0.0083757329  0.809759506
## 591          0    Drug         1         59  1.3813772409 -0.270850643
## 592          0    Drug         2         59 -2.0808436987 -0.270850643
## 593          0    Drug         3         59 -0.5897709604 -0.270850643
## 594          0    Drug         4         59 -2.1550180689 -0.270850643
## 595          0    Drug         5         59 -0.6908754487 -0.270850643
## 596          0    Drug         1         60  0.3680548607  0.172784514
## 597          0    Drug         2         60  0.5665756118  0.172784514
## 598          0    Drug         3         60 -0.7827137249  0.172784514
## 599          0    Drug         4         60 -0.8632830375  0.172784514
## 600          0    Drug         5         60 -0.7574789365  0.172784514
## 601          0    Drug         1          1 -0.0407986301  0.782881893
## 602          0    Drug         2          1  1.9468923873  0.782881893
## 603          0    Drug         3          1  0.1901204537  0.782881893
## 604          0    Drug         4          1  2.4755441331  0.782881893
## 605          0    Drug         5          1  0.3514113349  0.782881893
## 606          0    Drug         1          2  1.3157098447  0.301540864
## 607          0    Drug         2          2 -0.0418413700  0.301540864
## 608          0    Drug         3          2 -0.8897364801  0.301540864
## 609          0    Drug         4          2  0.2527498319  0.301540864
## 610          0    Drug         5          2  0.1204974392  0.301540864
## 611          0 Placebo         1          3 -0.5822381710 -0.010205570
## 612          1 Placebo         2          3 -0.0036072965 -0.010205570
## 613          2 Placebo         3          3 -0.8770871433 -0.010205570
## 614          3 Placebo         4          3  0.0292164053 -0.010205570
## 615          4 Placebo         5          3 -2.3284287215 -0.010205570
## 616          0 Placebo         1          4  0.8441486665 -0.360106223
## 617          1 Placebo         2          4  0.6618292858 -0.360106223
## 618          2 Placebo         3          4  0.1166191177 -0.360106223
## 619          3 Placebo         4          4 -0.0746562843 -0.360106223
## 620          4 Placebo         5          4  0.0001891703 -0.360106223
## 621          0 Placebo         1          5 -0.6113326803  0.266955450
## 622          1 Placebo         2          5 -1.5948767802  0.266955450
## 623          2 Placebo         3          5 -0.4985480469  0.266955450
## 624          3 Placebo         4          5  1.3948421571  0.266955450
## 625          4 Placebo         5          5  1.8929727141  0.266955450
## 626          0    Drug         1          6  0.2854637684  0.376896485
## 627          0    Drug         2          6  0.3132613764  0.376896485
## 628          0    Drug         3          6  0.0783141105  0.376896485
## 629          0    Drug         4          6  0.5898327118  0.376896485
## 630          0    Drug         5          6  1.3088286037  0.376896485
## 631          0    Drug         1          7 -2.3601033934 -0.647742302
## 632          0    Drug         2          7  0.6064058561 -0.647742302
## 633          0    Drug         3          7  0.1614035178 -0.647742302
## 634          0    Drug         4          7  0.0501476807 -0.647742302
## 635          0    Drug         5          7  0.7400621299 -0.647742302
## 636          0 Placebo         1          8 -0.7579127183 -0.330386320
## 637          1 Placebo         2          8 -0.5049358074 -0.330386320
## 638          2 Placebo         3          8 -0.3567968271 -0.330386320
## 639          3 Placebo         4          8 -1.3534133342 -0.330386320
## 640          4 Placebo         5          8  0.7080795711 -0.330386320
## 641          0 Placebo         1          9  0.3952835200 -1.121823793
## 642          1 Placebo         2          9  0.1351966421 -1.121823793
## 643          2 Placebo         3          9  1.5720452651 -1.121823793
## 644          3 Placebo         4          9 -1.0857588869 -1.121823793
## 645          4 Placebo         5          9  0.9581698971 -1.121823793
## 646          0    Drug         1         10  0.8475509929  0.250102365
## 647          0    Drug         2         10 -0.8915559215  0.250102365
## 648          0    Drug         3         10 -0.8205656502  0.250102365
## 649          0    Drug         4         10  0.2216871019  0.250102365
## 650          0    Drug         5         10 -0.2930801143  0.250102365
## 651          0    Drug         1         11 -1.5463272059 -0.396308154
## 652          0    Drug         2         11  0.1871520305 -0.396308154
## 653          0    Drug         3         11 -0.6370256037 -0.396308154
## 654          0    Drug         4         11  0.0771261319 -0.396308154
## 655          0    Drug         5         11 -0.3650145710 -0.396308154
## 656          0 Placebo         1         12  1.8187632510  0.351390933
## 657          1 Placebo         2         12  0.5633645054  0.351390933
## 658          2 Placebo         3         12  0.6432186031  0.351390933
## 659          3 Placebo         4         12 -2.2260394162  0.351390933
## 660          4 Placebo         5         12  1.2024955945  0.351390933
## 661          0 Placebo         1         13  1.7625720235  0.019910498
## 662          1 Placebo         2         13  0.7968093475  0.019910498
## 663          2 Placebo         3         13  1.1278543751  0.019910498
## 664          3 Placebo         4         13  0.9447203930  0.019910498
## 665          4 Placebo         5         13  1.4636505241  0.019910498
## 666          0    Drug         1         14 -1.2378798992 -1.043484666
## 667          0    Drug         2         14 -0.0085921809 -1.043484666
## 668          0    Drug         3         14 -0.3545839954 -1.043484666
## 669          0    Drug         4         14 -1.2637952984 -1.043484666
## 670          0    Drug         5         14 -0.2809599293 -1.043484666
## 671          0 Placebo         1         15  0.2552745774 -1.185375471
## 672          1 Placebo         2         15  2.2071677191 -1.185375471
## 673          2 Placebo         3         15 -1.8816096791 -1.185375471
## 674          3 Placebo         4         15 -1.1657700152 -1.185375471
## 675          4 Placebo         5         15 -0.9461813195 -1.185375471
## 676          0    Drug         1         16 -1.2112646444 -0.041754437
## 677          0    Drug         2         16  0.5064913712 -0.041754437
## 678          0    Drug         3         16 -0.6622657390 -0.041754437
## 679          0    Drug         4         16  1.0299476322 -0.041754437
## 680          0    Drug         5         16 -0.3456635498 -0.041754437
## 681          0    Drug         1         17  0.8909872523 -0.449714173
## 682          0    Drug         2         17 -0.9285075749 -0.449714173
## 683          0    Drug         3         17  0.0712623357 -0.449714173
## 684          0    Drug         4         17 -2.0453020197 -0.449714173
## 685          0    Drug         5         17  1.6686873251 -0.449714173
## 686          0    Drug         1         18  0.3514248976  0.109626506
## 687          0    Drug         2         18  1.3184780315  0.109626506
## 688          0    Drug         3         18  0.9222857705  0.109626506
## 689          0    Drug         4         18  1.1577896313  0.109626506
## 690          0    Drug         5         18 -0.4128530765  0.109626506
## 691          0 Placebo         1         19 -0.0001376865 -0.376125822
## 692          1 Placebo         2         19  1.1694942767 -0.376125822
## 693          2 Placebo         3         19 -1.3247390990 -0.376125822
## 694          3 Placebo         4         19 -1.3766355706 -0.376125822
## 695          4 Placebo         5         19 -0.1650794709 -0.376125822
## 696          0 Placebo         1         20  0.6413594778  0.549295830
## 697          1 Placebo         2         20 -0.3578612198  0.549295830
## 698          2 Placebo         3         20  1.8248192510  0.549295830
## 699          3 Placebo         4         20  0.4326364991  0.549295830
## 700          4 Placebo         5         20 -1.1126096463  0.549295830
## 701          0 Placebo         1         21 -0.7743066700 -0.335713727
## 702          1 Placebo         2         21  0.2305243504 -0.335713727
## 703          2 Placebo         3         21 -1.2753397354 -0.335713727
## 704          3 Placebo         4         21 -0.5782315767 -0.335713727
## 705          4 Placebo         5         21 -0.6869839870 -0.335713727
## 706          0 Placebo         1         22 -0.6392988093 -0.329306276
## 707          1 Placebo         2         22 -1.0898090281 -0.329306276
## 708          2 Placebo         3         22  0.7143421210 -0.329306276
## 709          3 Placebo         4         22  0.5406715689 -0.329306276
## 710          4 Placebo         5         22  0.8205546628 -0.329306276
## 711          0 Placebo         1         23  1.1649349911 -0.306610925
## 712          1 Placebo         2         23  0.7386672887 -0.306610925
## 713          2 Placebo         3         23 -2.1165213451 -0.306610925
## 714          3 Placebo         4         23 -0.5276654417 -0.306610925
## 715          4 Placebo         5         23 -0.6120319452 -0.306610925
## 716          0 Placebo         1         24 -0.7543534648  0.986368622
## 717          1 Placebo         2         24 -0.4971347859  0.986368622
## 718          2 Placebo         3         24  0.3875524845  0.986368622
## 719          3 Placebo         4         24  1.5739988901  0.986368622
## 720          4 Placebo         5         24 -0.1050422367  0.986368622
## 721          0 Placebo         1         25 -0.2476049288  0.365520662
## 722          1 Placebo         2         25  0.1697889518  0.365520662
## 723          2 Placebo         3         25  1.6847710349  0.365520662
## 724          3 Placebo         4         25 -0.7932308845  0.365520662
## 725          4 Placebo         5         25 -0.2202802697  0.365520662
## 726          0    Drug         1         26 -0.9853124384  0.007263442
## 727          0    Drug         2         26  0.8543491158  0.007263442
## 728          0    Drug         3         26  1.1022417705  0.007263442
## 729          0    Drug         4         26  0.2625619978  0.007263442
## 730          0    Drug         5         26  1.5071050351  0.007263442
## 731          0    Drug         1         27 -0.2726504906 -0.317448217
## 732          0    Drug         2         27  1.2115178018 -0.317448217
## 733          0    Drug         3         27 -0.7954191062 -0.317448217
## 734          0    Drug         4         27  0.2100826369 -0.317448217
## 735          0    Drug         5         27  0.2026073056 -0.317448217
## 736          0    Drug         1         28 -0.4569814538 -0.410767323
## 737          0    Drug         2         28 -0.7243350272 -0.410767323
## 738          0    Drug         3         28 -0.6480152199 -0.410767323
## 739          0    Drug         4         28  1.0509512232 -0.410767323
## 740          0    Drug         5         28 -0.2071686313 -0.410767323
## 741          0 Placebo         1         29 -0.5825866423 -0.117777718
## 742          1 Placebo         2         29  2.1129871525 -0.117777718
## 743          2 Placebo         3         29 -0.4370745808 -0.117777718
## 744          3 Placebo         4         29 -0.0347346827 -0.117777718
## 745          4 Placebo         5         29  0.6096450883 -0.117777718
## 746          0    Drug         1         30 -0.0476417045 -0.140498385
## 747          0    Drug         2         30 -0.4824251351 -0.140498385
## 748          0    Drug         3         30  0.2609303460 -0.140498385
## 749          0    Drug         4         30  0.7146878512 -0.140498385
## 750          0    Drug         5         30 -0.8131665081 -0.140498385
## 751          0 Placebo         1         31 -1.0307100605 -0.505660454
## 752          1 Placebo         2         31  2.2573871745 -0.505660454
## 753          2 Placebo         3         31  0.2657450027 -0.505660454
## 754          3 Placebo         4         31 -1.0763234356 -0.505660454
## 755          4 Placebo         5         31 -2.2470895980 -0.505660454
## 756          0 Placebo         1         32  0.7021832583 -0.606193567
## 757          1 Placebo         2         32  0.3404068007 -0.606193567
## 758          2 Placebo         3         32  0.1553413649 -0.606193567
## 759          3 Placebo         4         32  0.6629728011 -0.606193567
## 760          4 Placebo         5         32  0.2948548034 -0.606193567
## 761          0    Drug         1         33  0.1904046043  0.663233257
## 762          0    Drug         2         33  0.4110387118  0.663233257
## 763          0    Drug         3         33  1.2727340736  0.663233257
## 764          0    Drug         4         33  0.7230292744  0.663233257
## 765          0    Drug         5         33  1.1900221546  0.663233257
## 766          0    Drug         1         34 -0.0688362507 -0.048086710
## 767          0    Drug         2         34  0.1368048751 -0.048086710
## 768          0    Drug         3         34 -0.2285297469 -0.048086710
## 769          0    Drug         4         34  1.4793622446 -0.048086710
## 770          0    Drug         5         34 -0.0719222220 -0.048086710
## 771          0    Drug         1         35  1.6732283822 -0.345774052
## 772          0    Drug         2         35  0.2153697429 -0.345774052
## 773          0    Drug         3         35  0.6350938903 -0.345774052
## 774          0    Drug         4         35  0.0670368006 -0.345774052
## 775          0    Drug         5         35  0.9184053133 -0.345774052
## 776          0 Placebo         1         36  0.5223647313 -0.207341895
## 777          1 Placebo         2         36  0.1730135913 -0.207341895
## 778          2 Placebo         3         36 -1.2636696679 -0.207341895
## 779          3 Placebo         4         36  1.1581765038 -0.207341895
## 780          4 Placebo         5         36  0.3122711394 -0.207341895
## 781          0 Placebo         1         37  0.4081185284  0.023844948
## 782          1 Placebo         2         37 -0.0827464743  0.023844948
## 783          2 Placebo         3         37 -0.3836714616  0.023844948
## 784          3 Placebo         4         37  0.3529140932  0.023844948
## 785          4 Placebo         5         37 -1.6032269431  0.023844948
## 786          0    Drug         1         38  0.2279484904 -0.580355117
## 787          0    Drug         2         38  0.5256896664 -0.580355117
## 788          0    Drug         3         38 -0.6255753285 -0.580355117
## 789          0    Drug         4         38 -0.2005428454 -0.580355117
## 790          0    Drug         5         38 -0.5832564000 -0.580355117
## 791          0    Drug         1         39 -0.2710192658  0.158226311
## 792          0    Drug         2         39  0.1182815592  0.158226311
## 793          0    Drug         3         39  1.4839354353  0.158226311
## 794          0    Drug         4         39 -0.5317775780  0.158226311
## 795          0    Drug         5         39 -1.0623020553  0.158226311
## 796          0    Drug         1         40  0.5450050489 -0.780531496
## 797          0    Drug         2         40  0.3155810799 -0.780531496
## 798          0    Drug         3         40 -1.2415540570 -0.780531496
## 799          0    Drug         4         40 -0.7635732655 -0.780531496
## 800          0    Drug         5         40  0.1077799790 -0.780531496
## 801          0 Placebo         1         41  1.4462066025  0.385761755
## 802          1 Placebo         2         41 -0.3083824474  0.385761755
## 803          2 Placebo         3         41  1.2579116563  0.385761755
## 804          3 Placebo         4         41  0.2497204391  0.385761755
## 805          4 Placebo         5         41 -0.6415420612  0.385761755
## 806          0 Placebo         1         42 -0.9551980154  0.876587851
## 807          1 Placebo         2         42 -0.0459755291  0.876587851
## 808          2 Placebo         3         42 -0.7818024604  0.876587851
## 809          3 Placebo         4         42  1.7686295872  0.876587851
## 810          4 Placebo         5         42  0.3725230629  0.876587851
## 811          0 Placebo         1         43  1.0321171109  0.049065430
## 812          1 Placebo         2         43 -0.7034355708  0.049065430
## 813          2 Placebo         3         43  0.6510111447  0.049065430
## 814          3 Placebo         4         43 -0.5742704885  0.049065430
## 815          4 Placebo         5         43 -0.4974506537  0.049065430
## 816          0    Drug         1         44 -0.4977420292 -0.620254043
## 817          0    Drug         2         44 -0.6236452635 -0.620254043
## 818          0    Drug         3         44 -0.5256900252 -0.620254043
## 819          0    Drug         4         44 -1.1031101243 -0.620254043
## 820          0    Drug         5         44  0.8438198835 -0.620254043
## 821          0    Drug         1         45 -0.5806791846 -0.385393506
## 822          0    Drug         2         45  0.6277742301 -0.385393506
## 823          0    Drug         3         45  0.6930467244 -0.385393506
## 824          0    Drug         4         45  1.0823056138 -0.385393506
## 825          0    Drug         5         45 -0.0821751902 -0.385393506
## 826          0 Placebo         1         46  0.8714296926 -0.391128697
## 827          1 Placebo         2         46  0.7521903686 -0.391128697
## 828          2 Placebo         3         46 -0.5851552964 -0.391128697
## 829          3 Placebo         4         46 -1.0322741759 -0.391128697
## 830          4 Placebo         5         46 -1.3906385563 -0.391128697
## 831          0    Drug         1         47  0.5301194271 -0.392028207
## 832          0    Drug         2         47 -1.1644662629 -0.392028207
## 833          0    Drug         3         47  0.7716069616 -0.392028207
## 834          0    Drug         4         47  0.2749591086 -0.392028207
## 835          0    Drug         5         47 -0.5509572567 -0.392028207
## 836          0    Drug         1         48 -1.3640728528 -0.782533258
## 837          0    Drug         2         48 -0.1894754711 -0.782533258
## 838          0    Drug         3         48 -0.3079658827 -0.782533258
## 839          0    Drug         4         48 -0.6038016841 -0.782533258
## 840          0    Drug         5         48 -1.3570189836 -0.782533258
## 841          0 Placebo         1         49 -0.0746538352  0.121221519
## 842          1 Placebo         2         49  0.4521017374  0.121221519
## 843          2 Placebo         3         49  0.2855859476  0.121221519
## 844          3 Placebo         4         49  1.0490650515  0.121221519
## 845          4 Placebo         5         49  0.7781520111  0.121221519
## 846          0 Placebo         1         50 -0.8032130386 -0.246036289
## 847          1 Placebo         2         50 -1.8062268178 -0.246036289
## 848          2 Placebo         3         50  1.2867791360 -0.246036289
## 849          3 Placebo         4         50 -1.1437363749 -0.246036289
## 850          4 Placebo         5         50  0.5400092449 -0.246036289
## 851          0 Placebo         1         51  1.0909231325  0.159849216
## 852          1 Placebo         2         51  0.3239717993  0.159849216
## 853          2 Placebo         3         51  0.6572285266  0.159849216
## 854          3 Placebo         4         51  1.3893490706  0.159849216
## 855          4 Placebo         5         51 -0.3045122136  0.159849216
## 856          0    Drug         1         52 -1.0137044102 -0.171183688
## 857          0    Drug         2         52 -0.7368057795 -0.171183688
## 858          0    Drug         3         52 -0.5581002914 -0.171183688
## 859          0    Drug         4         52 -1.2258130840 -0.171183688
## 860          0    Drug         5         52 -0.1384136137 -0.171183688
## 861          0    Drug         1         53 -1.8772100074 -0.207492844
## 862          0    Drug         2         53 -0.3419675082 -0.207492844
## 863          0    Drug         3         53 -1.4701995932 -0.207492844
## 864          0    Drug         4         53  0.5556208004 -0.207492844
## 865          0    Drug         5         53 -0.4050984148 -0.207492844
## 866          0 Placebo         1         54  0.2479792092  0.287864689
## 867          1 Placebo         2         54  1.1757714987  0.287864689
## 868          2 Placebo         3         54  0.8260373026  0.287864689
## 869          3 Placebo         4         54  0.6735124231  0.287864689
## 870          4 Placebo         5         54 -0.0504396723  0.287864689
## 871          0    Drug         1         55 -0.2796267493 -0.311627463
## 872          0    Drug         2         55 -0.4553552709 -0.311627463
## 873          0    Drug         3         55 -0.8855804865 -0.311627463
## 874          0    Drug         4         55 -0.3130516249 -0.311627463
## 875          0    Drug         5         55 -0.6285990620 -0.311627463
## 876          0 Placebo         1         56  1.5723097126  0.186664544
## 877          1 Placebo         2         56  0.6073194323  0.186664544
## 878          2 Placebo         3         56 -2.4336640801  0.186664544
## 879          3 Placebo         4         56  1.0539036981  0.186664544
## 880          4 Placebo         5         56  0.8807866147  0.186664544
## 881          0 Placebo         1         57  0.8065753442 -0.575310167
## 882          1 Placebo         2         57  0.7433481161 -0.575310167
## 883          2 Placebo         3         57 -0.3985650183 -0.575310167
## 884          3 Placebo         4         57 -1.3448286087 -0.575310167
## 885          4 Placebo         5         57 -1.3671563492 -0.575310167
## 886          0 Placebo         1         58 -1.1339504891  0.780045371
## 887          1 Placebo         2         58 -1.6670222073  0.780045371
## 888          2 Placebo         3         58 -0.7967283790  0.780045371
## 889          3 Placebo         4         58  1.4291457498  0.780045371
## 890          4 Placebo         5         58 -1.2732506087  0.780045371
## 891          0 Placebo         1         59  1.5182737878 -0.192892720
## 892          1 Placebo         2         59  1.0248444558 -0.192892720
## 893          2 Placebo         3         59 -0.7095102619 -0.192892720
## 894          3 Placebo         4         59  0.2188641147 -0.192892720
## 895          4 Placebo         5         59 -0.4384541321 -0.192892720
## 896          0 Placebo         1         60 -0.7561342372  0.409809383
## 897          1 Placebo         2         60 -0.0214181740  0.409809383
## 898          2 Placebo         3         60 -0.8611984841  0.409809383
## 899          3 Placebo         4         60  0.1866966417  0.409809383
## 900          4 Placebo         5         60  2.0168203439  0.409809383
##       time_clust fixed_outcome random_effects   resp_var
## 1    0.779220375          4.75    0.136650758  4.7813723
## 2    0.779220375          5.25    0.915871133  6.0090750
## 3    0.779220375          5.75    1.695091507  7.0179351
## 4    0.779220375          6.25    2.474311882  6.7416329
## 5    0.779220375          6.75    3.253532256  9.4685922
## 6   -0.231161157          4.00   -0.166724050  3.0581945
## 7   -0.231161157          4.50   -0.397885207  4.7250040
## 8   -0.231161157          5.00   -0.629046364  4.7591898
## 9   -0.231161157          5.50   -0.860207521  6.9516970
## 10  -0.231161157          6.00   -1.091368677  5.4665158
## 11   0.330399565          4.00    0.047061011  3.2009989
## 12   0.330399565          4.50    0.377460577  6.3652224
## 13   0.330399565          5.00    0.707860142  6.2896724
## 14   0.330399565          5.50    1.038259707  5.9346370
## 15   0.330399565          6.00    1.368659272  6.9841849
## 16   0.535452803          4.00    0.826177643  5.4016676
## 17   0.535452803          4.50    1.361630446  6.6300924
## 18   0.535452803          5.00    1.897083250  6.3894052
## 19   0.535452803          5.50    2.432536053  7.2228463
## 20   0.535452803          6.00    2.967988857  9.3640006
## 21  -0.269806073          4.75   -0.666308748  3.9775182
## 22  -0.269806073          5.25   -0.936114822  4.0824074
## 23  -0.269806073          5.75   -1.205920895  3.7832405
## 24  -0.269806073          6.25   -1.475726968  7.4218104
## 25  -0.269806073          6.75   -1.745533041  5.1048916
## 26   0.573970408          4.00   -0.016469903  3.4018745
## 27   0.573970408          4.50    0.557500505  5.0388127
## 28   0.573970408          5.00    1.131470913  5.2030257
## 29   0.573970408          5.50    1.705441321  6.0608358
## 30   0.573970408          6.00    2.279411729  8.7244473
## 31   0.729873993          4.00   -0.068380840  4.3816494
## 32   0.729873993          4.50    0.661493153  5.0526365
## 33   0.729873993          5.00    1.391367147  6.7943111
## 34   0.729873993          5.50    2.121241140  7.4380320
## 35   0.729873993          6.00    2.851115133  8.5124646
## 36   0.690678348          4.00    0.435779331  6.0911937
## 37   0.690678348          4.50    1.126457680  4.4523779
## 38   0.690678348          5.00    1.817136028  6.0141041
## 39   0.690678348          5.50    2.507814376  6.2424159
## 40   0.690678348          6.00    3.198492725  8.9043171
## 41  -0.295432386          4.00    0.334962346  3.4189257
## 42  -0.295432386          4.50    0.039529961  3.9280681
## 43  -0.295432386          5.00   -0.255902425  6.5200839
## 44  -0.295432386          5.50   -0.551334811  4.6475246
## 45  -0.295432386          6.00   -0.846767196  4.3659604
## 46   0.042807596          4.75   -0.272286383  2.1508841
## 47   0.042807596          5.25   -0.229478788  4.6046397
## 48   0.042807596          5.75   -0.186671192  4.4534050
## 49   0.042807596          6.25   -0.143863596  7.4940902
## 50   0.042807596          6.75   -0.101056001  5.8055414
## 51  -0.222021503          4.00   -0.662787906  6.0941311
## 52  -0.222021503          4.50   -0.884809409  4.2618895
## 53  -0.222021503          5.00   -1.106830912  4.3661669
## 54  -0.222021503          5.50   -1.328852414  2.8832193
## 55  -0.222021503          6.00   -1.550873917  4.3013707
## 56  -0.460762967          4.00   -0.252554363  2.9734124
## 57  -0.460762967          4.50   -0.713317330  3.5705812
## 58  -0.460762967          5.00   -1.174080297  5.1978524
## 59  -0.460762967          5.50   -1.634843264  2.0501810
## 60  -0.460762967          6.00   -2.095606230  2.6093846
## 61  -0.637724949          4.75   -0.003778655  3.8541731
## 62  -0.637724949          5.25   -0.641503604  5.0428992
## 63  -0.637724949          5.75   -1.279228553  4.6583584
## 64  -0.637724949          6.25   -1.916953502  5.7505737
## 65  -0.637724949          6.75   -2.554678451  3.8653639
## 66  -0.425332580          4.00   -0.285819557  4.9358237
## 67  -0.425332580          4.50   -0.711152136  5.9802195
## 68  -0.425332580          5.00   -1.136484716  4.2467865
## 69  -0.425332580          5.50   -1.561817296  3.2354949
## 70  -0.425332580          6.00   -1.987149875  3.9835598
## 71  -0.655302608          4.00    0.383001214  4.4377688
## 72  -0.655302608          4.50   -0.272301394  4.6151295
## 73  -0.655302608          5.00   -0.927604002  4.6574053
## 74  -0.655302608          5.50   -1.582906610  4.4202810
## 75  -0.655302608          6.00   -2.238209218  2.9196258
## 76   0.172932981          4.75   -0.199019686  5.1989971
## 77   0.172932981          5.25   -0.026086705  5.9543418
## 78   0.172932981          5.75    0.146846276  6.7241225
## 79   0.172932981          6.25    0.319779258  7.0245112
## 80   0.172932981          6.75    0.492712239  8.3557934
## 81  -0.243399790          4.00    0.018704584  5.1480685
## 82  -0.243399790          4.50   -0.224695207  5.0963683
## 83  -0.243399790          5.00   -0.468094997  4.2388817
## 84  -0.243399790          5.50   -0.711494787  6.3496910
## 85  -0.243399790          6.00   -0.954894578  3.3449320
## 86  -0.430433528          4.75    0.229593745  5.8492592
## 87  -0.430433528          5.25   -0.200839782  5.3696754
## 88  -0.430433528          5.75   -0.631273310  6.5845930
## 89  -0.430433528          6.25   -1.061706838  5.0435454
## 90  -0.430433528          6.75   -1.492140365  5.8593428
## 91   1.193071644          4.75    0.241817824  4.2397085
## 92   1.193071644          5.25    1.434889468  7.9018943
## 93   1.193071644          5.75    2.627961112  7.5908486
## 94   1.193071644          6.25    3.821032756  8.8164313
## 95   1.193071644          6.75    5.014104399 11.3311570
## 96  -0.066426376          4.75    1.027870272  6.0707257
## 97  -0.066426376          5.25    0.961443896  6.8458769
## 98  -0.066426376          5.75    0.895017519  7.7493621
## 99  -0.066426376          6.25    0.828591143  6.5294114
## 100 -0.066426376          6.75    0.762164767  7.7715764
## 101  0.319140189          4.00   -0.185239566  5.2311839
## 102  0.319140189          4.50    0.133900623  5.7220941
## 103  0.319140189          5.00    0.453040811  5.6676385
## 104  0.319140189          5.50    0.772181000  6.4724145
## 105  0.319140189          6.00    1.091321189  8.9332844
## 106 -0.412260103          4.75   -0.206684409  5.3471247
## 107 -0.412260103          5.25   -0.618944512  4.2721338
## 108 -0.412260103          5.75   -1.031204615  6.6729687
## 109 -0.412260103          6.25   -1.443464718  5.1580864
## 110 -0.412260103          6.75   -1.855724821  4.0299794
## 111  0.052605615          4.75   -1.209979395  3.1057338
## 112  0.052605615          5.25   -1.157373780  3.6968349
## 113  0.052605615          5.75   -1.104768165  5.0578660
## 114  0.052605615          6.25   -1.052162550  5.3499779
## 115  0.052605615          6.75   -0.999556936  6.3297939
## 116 -0.125343497          4.75   -0.026386604  4.7426136
## 117 -0.125343497          5.25   -0.151730101  4.6874013
## 118 -0.125343497          5.75   -0.277073599  5.4836329
## 119 -0.125343497          6.25   -0.402417096  6.7701768
## 120 -0.125343497          6.75   -0.527760594  5.4376401
## 121  0.598763528          4.75   -0.404683469  3.7103611
## 122  0.598763528          5.25    0.194080059  6.0270833
## 123  0.598763528          5.75    0.792843587  6.8691918
## 124  0.598763528          6.25    1.391607115  8.5836279
## 125  0.598763528          6.75    1.990370643  8.8887228
## 126 -0.318351474          4.75    0.023431435  4.4031908
## 127 -0.318351474          5.25   -0.294920039  6.1993958
## 128 -0.318351474          5.75   -0.613271513  3.5693767
## 129 -0.318351474          6.25   -0.931622986  5.6533418
## 130 -0.318351474          6.75   -1.249974460  4.5054604
## 131  0.060846955          4.75    0.932547202  6.1565838
## 132  0.060846955          5.25    0.993394157  6.4142079
## 133  0.060846955          5.75    1.054241112  8.1333372
## 134  0.060846955          6.25    1.115088067  7.4049766
## 135  0.060846955          6.75    1.175935022  7.8107834
## 136  0.332145871          4.75    0.095689671  6.2269086
## 137  0.332145871          5.25    0.427835542  4.9048428
## 138  0.332145871          5.75    0.759981414  5.9598133
## 139  0.332145871          6.25    1.092127285  7.1862441
## 140  0.332145871          6.75    1.424273156  9.6643474
## 141  1.438146861          4.00   -0.285746428  2.6432956
## 142  1.438146861          4.50    1.152400433  6.4980072
## 143  1.438146861          5.00    2.590547294  8.5114686
## 144  1.438146861          5.50    4.028694154 11.2351277
## 145  1.438146861          6.00    5.466841015 12.6043899
## 146 -0.843972942          4.75   -0.036319071  5.3539493
## 147 -0.843972942          5.25   -0.880292012  4.0004225
## 148 -0.843972942          5.75   -1.724264954  3.5963326
## 149 -0.843972942          6.25   -2.568237896  3.8344009
## 150 -0.843972942          6.75   -3.412210838  2.4854736
## 151 -0.095908100          4.75   -0.006824772  4.4602484
## 152 -0.095908100          5.25   -0.102732872  4.9646408
## 153 -0.095908100          5.75   -0.198640972  6.5406047
## 154 -0.095908100          6.25   -0.294549072  6.3666455
## 155 -0.095908100          6.75   -0.390457173  7.9412699
## 156 -0.622219818          4.75   -0.366715009  6.5563999
## 157 -0.622219818          5.25   -0.988934828  6.0829667
## 158 -0.622219818          5.75   -1.611154646  4.0803549
## 159 -0.622219818          6.25   -2.233374464  4.4876756
## 160 -0.622219818          6.75   -2.855594282  4.2980198
## 161 -0.246991664          4.00    0.129311909  5.5667536
## 162 -0.246991664          4.50   -0.117679755  5.6157103
## 163 -0.246991664          5.00   -0.364671419  5.9530441
## 164 -0.246991664          5.50   -0.611663084  5.0923652
## 165 -0.246991664          6.00   -0.858654748  4.6162635
## 166  1.046525556          4.00   -0.142077375  3.1277412
## 167  1.046525556          4.50    0.904448181  5.3425630
## 168  1.046525556          5.00    1.950973738  8.0021824
## 169  1.046525556          5.50    2.997499294  9.8014891
## 170  1.046525556          6.00    4.044024851  9.6113208
## 171 -0.981540697          4.00    0.651184877  4.5915987
## 172 -0.981540697          4.50   -0.330355821  4.6147602
## 173 -0.981540697          5.00   -1.311896518  2.0208822
## 174 -0.981540697          5.50   -2.293437215  2.7334041
## 175 -0.981540697          6.00   -3.274977912  1.9736420
## 176  0.512606795          4.75   -0.356674981  5.1980651
## 177  0.512606795          5.25    0.155931814  4.6820252
## 178  0.512606795          5.75    0.668538609  7.2088030
## 179  0.512606795          6.25    1.181145404  8.4478466
## 180  0.512606795          6.75    1.693752199  9.4447878
## 181 -0.217704204          4.00    0.525962857  2.4690878
## 182 -0.217704204          4.50    0.308258653  5.6205455
## 183 -0.217704204          5.00    0.090554449  5.0602369
## 184 -0.217704204          5.50   -0.127149755  4.8933102
## 185 -0.217704204          6.00   -0.344853959  5.2815031
## 186  0.860798929          4.00    0.255569343  3.6179804
## 187  0.860798929          4.50    1.116368272  4.0004100
## 188  0.860798929          5.00    1.977167201  7.4669151
## 189  0.860798929          5.50    2.837966131  9.1196464
## 190  0.860798929          6.00    3.698765060 12.2517636
## 191 -0.079580554          4.75    0.073702618  4.7689515
## 192 -0.079580554          5.25   -0.005877936  5.9739657
## 193 -0.079580554          5.75   -0.085458490  6.6859406
## 194 -0.079580554          6.25   -0.165039043  4.1950347
## 195 -0.079580554          6.75   -0.244619597  6.6901958
## 196  0.307230575          4.00   -0.040725271  4.9153490
## 197  0.307230575          4.50    0.266505304  3.9442033
## 198  0.307230575          5.00    0.573735878  6.4194476
## 199  0.307230575          5.50    0.880966453  5.7036142
## 200  0.307230575          6.00    1.188197028  6.6102650
## 201 -0.443259976          4.75    0.393857659  6.2427856
## 202 -0.443259976          5.25   -0.049402317  6.0415079
## 203 -0.443259976          5.75   -0.492662293  5.4502955
## 204 -0.443259976          6.25   -0.935922270  4.5847387
## 205 -0.443259976          6.75   -1.379182246  5.2178384
## 206  0.407083673          4.75    0.406909440  4.2086748
## 207  0.407083673          5.25    0.813993114  5.1440343
## 208  0.407083673          5.75    1.221076787  5.6472844
## 209  0.407083673          6.25    1.628160460  7.1683871
## 210  0.407083673          6.75    2.035244133  9.8997986
## 211 -0.011352216          4.00    0.374959993  3.3718301
## 212 -0.011352216          4.50    0.363607776  5.5714351
## 213 -0.011352216          5.00    0.352255560  6.2437201
## 214 -0.011352216          5.50    0.340903344  5.1164709
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## 495  1.348244944          6.00    4.989234116 11.0640541
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## 502 -0.246445667          5.25   -0.101796565  5.0050704
## 503 -0.246445667          5.75   -0.348242232  6.2281214
## 504 -0.246445667          6.25   -0.594687898  4.4487921
## 505 -0.246445667          6.75   -0.841133565  4.4276133
## 506 -0.740281217          4.75    0.713075253  3.9960204
## 507 -0.740281217          5.25   -0.027205964  4.9982156
## 508 -0.740281217          5.75   -0.767487181  4.3697837
## 509 -0.740281217          6.25   -1.507768398  5.3017435
## 510 -0.740281217          6.75   -2.248049615  4.8630210
## 511 -0.179085413          4.00   -0.352013326  3.5005167
## 512 -0.179085413          4.50   -0.531098738  5.9189706
## 513 -0.179085413          5.00   -0.710184151  7.4139412
## 514 -0.179085413          5.50   -0.889269563  4.3503350
## 515 -0.179085413          6.00   -1.068354976  5.2948599
## 516  0.275736769          4.75   -1.044994468  6.1400066
## 517  0.275736769          5.25   -0.769257699  4.8258655
## 518  0.275736769          5.75   -0.493520930  5.5991795
## 519  0.275736769          6.25   -0.217784161  5.3825645
## 520  0.275736769          6.75    0.057952608  8.1123264
## 521  0.200095458          4.00   -0.164324421  4.8237611
## 522  0.200095458          4.50    0.035771037  5.2560075
## 523  0.200095458          5.00    0.235866495  5.3834942
## 524  0.200095458          5.50    0.435961953  5.4593905
## 525  0.200095458          6.00    0.636057411  6.0071792
## 526 -0.484276936          4.00   -0.275847930  3.7547882
## 527 -0.484276936          4.50   -0.760124866  2.9035695
## 528 -0.484276936          5.00   -1.244401802  5.6665703
## 529 -0.484276936          5.50   -1.728678738  2.4718460
## 530 -0.484276936          6.00   -2.212955675  3.1792667
## 531 -0.268036877          4.75    0.103406435  4.9441433
## 532 -0.268036877          5.25   -0.164630442  4.2513491
## 533 -0.268036877          5.75   -0.432667319  5.1367980
## 534 -0.268036877          6.25   -0.700704195  6.8340853
## 535 -0.268036877          6.75   -0.968741072  7.6731822
## 536  0.292962061          4.00   -0.031667358  4.8138844
## 537  0.292962061          4.50    0.261294703  5.4581862
## 538  0.292962061          5.00    0.554256764  4.2515836
## 539  0.292962061          5.50    0.847218825  7.9230565
## 540  0.292962061          6.00    1.140180887  6.4840329
## 541  0.143216637          4.75    0.533637643  5.0529761
## 542  0.143216637          5.25    0.676854280  6.6651692
## 543  0.143216637          5.75    0.820070917  7.3660704
## 544  0.143216637          6.25    0.963287554  9.0155393
## 545  0.143216637          6.75    1.106504191  6.2783418
## 546  0.458811139          4.75   -0.274260436  5.1712607
## 547  0.458811139          5.25    0.184550703  4.9962085
## 548  0.458811139          5.75    0.643361842  5.9109600
## 549  0.458811139          6.25    1.102172981  7.3105126
## 550  0.458811139          6.75    1.560984119  5.9081685
## 551 -0.635187069          4.00   -0.376665229  3.5567941
## 552 -0.635187069          4.50   -1.011852297  4.1550669
## 553 -0.635187069          5.00   -1.647039366  4.1851337
## 554 -0.635187069          5.50   -2.282226435  1.9497471
## 555 -0.635187069          6.00   -2.917413503  3.6676641
## 556 -0.030717094          4.75    0.070934588  5.5782962
## 557 -0.030717094          5.25    0.040217494  5.1174083
## 558 -0.030717094          5.75    0.009500401  4.5000258
## 559 -0.030717094          6.25   -0.021216693  5.1757535
## 560 -0.030717094          6.75   -0.051933786  7.3654928
## 561  0.479027653          4.75   -0.376753744  5.0831237
## 562  0.479027653          5.25    0.102273909  6.8871772
## 563  0.479027653          5.75    0.581301562  6.3039643
## 564  0.479027653          6.25    1.060329214  7.2700108
## 565  0.479027653          6.75    1.539356867 10.0128011
## 566  0.442664640          4.00   -0.257503291  3.9835993
## 567  0.442664640          4.50    0.185161349  4.8586709
## 568  0.442664640          5.00    0.627825988  5.6733600
## 569  0.442664640          5.50    1.070490628  5.2181859
## 570  0.442664640          6.00    1.513155268  8.0841703
## 571  0.292230284          4.00   -0.961208105  3.3855006
## 572  0.292230284          4.50   -0.668977821  2.5084896
## 573  0.292230284          5.00   -0.376747536  6.6746184
## 574  0.292230284          5.50   -0.084517252  5.1927081
## 575  0.292230284          6.00    0.207713033  5.2697493
## 576 -0.665669185          4.00   -0.161735975  2.6787386
## 577 -0.665669185          4.50   -0.827405160  2.3504402
## 578 -0.665669185          5.00   -1.493074346  3.0034190
## 579 -0.665669185          5.50   -2.158743531  3.0755833
## 580 -0.665669185          6.00   -2.824412717  3.4814959
## 581  0.878724811          4.75   -0.416387036  5.9521235
## 582  0.878724811          5.25    0.462337775  5.7479904
## 583  0.878724811          5.75    1.341062586  6.7281014
## 584  0.878724811          6.25    2.219787397  9.5787378
## 585  0.878724811          6.75    3.098512208  9.1274395
## 586 -0.052555347          4.00    0.809759506  2.3091418
## 587 -0.052555347          4.50    0.757204160  6.2509941
## 588 -0.052555347          5.00    0.704648813  5.9019866
## 589 -0.052555347          5.50    0.652093466  6.8211163
## 590 -0.052555347          6.00    0.599538119  6.6079139
## 591  1.051723453          4.00   -0.270850643  5.1105266
## 592  1.051723453          4.50    0.780872811  3.2000291
## 593  1.051723453          5.00    1.832596264  6.2428253
## 594  1.051723453          5.50    2.884319718  6.2293016
## 595  1.051723453          6.00    3.936043171  9.2451677
## 596 -0.052543045          4.00    0.172784514  4.5408394
## 597 -0.052543045          4.50    0.120241468  5.1868171
## 598 -0.052543045          5.00    0.067698423  4.2849847
## 599 -0.052543045          5.50    0.015155378  4.6518723
## 600 -0.052543045          6.00   -0.037387667  5.2051334
## 601  0.531318369          4.00    0.782881893  4.7420833
## 602  0.531318369          4.50    1.314200262  7.7610926
## 603  0.531318369          5.00    1.845518630  7.0356391
## 604  0.531318369          5.50    2.376836999 10.3523811
## 605  0.531318369          6.00    2.908155368  9.2595667
## 606  0.997024734          4.00    0.301540864  5.6172507
## 607  0.997024734          4.50    1.298565599  5.7567242
## 608  0.997024734          5.00    2.295590333  6.4058539
## 609  0.997024734          5.50    3.292615067  9.0453649
## 610  0.997024734          6.00    4.289639801 10.4101372
## 611  0.637789446          4.75   -0.010205570  4.1575563
## 612  0.637789446          5.25    0.627583877  5.8739766
## 613  0.637789446          5.75    1.265373323  6.1382862
## 614  0.637789446          6.25    1.903162769  8.1823792
## 615  0.637789446          6.75    2.540952215  6.9625235
## 616 -0.133970982          4.75   -0.360106223  5.2340424
## 617 -0.133970982          5.25   -0.494077205  5.4177521
## 618 -0.133970982          5.75   -0.628048187  5.2385709
## 619 -0.133970982          6.25   -0.762019169  5.4133245
## 620 -0.133970982          6.75   -0.895990150  5.8541990
## 621  0.229436709          4.75    0.266955450  4.4056228
## 622  0.229436709          5.25    0.496392160  4.1515154
## 623  0.229436709          5.75    0.725828869  5.9772808
## 624  0.229436709          6.25    0.955265578  8.6001077
## 625  0.229436709          6.75    1.184702287  9.8276750
## 626 -0.049018634          4.00    0.376896485  4.6623603
## 627 -0.049018634          4.50    0.327877851  5.1411392
## 628 -0.049018634          5.00    0.278859216  5.3571733
## 629 -0.049018634          5.50    0.229840582  6.3196733
## 630 -0.049018634          6.00    0.180821947  7.4896506
## 631  0.045501130          4.00   -0.647742302  0.9921543
## 632  0.045501130          4.50   -0.602241172  4.5041647
## 633  0.045501130          5.00   -0.556740042  4.6046635
## 634  0.045501130          5.50   -0.511238912  5.0389088
## 635  0.045501130          6.00   -0.465737782  6.2743243
## 636 -0.547202323          4.75   -0.330386320  3.6617010
## 637 -0.547202323          5.25   -0.877588643  3.8674755
## 638 -0.547202323          5.75   -1.424790966  3.9684122
## 639 -0.547202323          6.25   -1.971993290  2.9245934
## 640 -0.547202323          6.75   -2.519195613  4.9388840
## 641  0.806248656          4.75   -1.121823793  4.0234597
## 642  0.806248656          5.25   -0.315575137  5.0696215
## 643  0.806248656          5.75    0.490673518  7.8127188
## 644  0.806248656          6.25    1.296922174  6.4611633
## 645  0.806248656          6.75    2.103170829  9.8113407
## 646  0.578354337          4.00    0.250102365  5.0976534
## 647  0.578354337          4.50    0.828456702  4.4369008
## 648  0.578354337          5.00    1.406811039  5.5862454
## 649  0.578354337          5.50    1.985165375  7.7068525
## 650  0.578354337          6.00    2.563519712  8.2704396
## 651  0.264693780          4.00   -0.396308154  2.0573646
## 652  0.264693780          4.50   -0.131614374  4.5555377
## 653  0.264693780          5.00    0.133079407  4.4960538
## 654  0.264693780          5.50    0.397773187  5.9748993
## 655  0.264693780          6.00    0.662466967  6.2974524
## 656  0.713335519          4.75    0.351390933  6.9201542
## 657  0.713335519          5.25    1.064726452  6.8780910
## 658  0.713335519          5.75    1.778061970  8.1712806
## 659  0.713335519          6.25    2.491397489  6.5153581
## 660  0.713335519          6.75    3.204733008 11.1572286
## 661 -0.479579529          4.75    0.019910498  6.5324825
## 662 -0.479579529          5.25   -0.459669031  5.5871403
## 663 -0.479579529          5.75   -0.939248560  5.9386058
## 664 -0.479579529          6.25   -1.418828089  5.7758923
## 665 -0.479579529          6.75   -1.898407619  6.3152429
## 666  0.092899704          4.00   -1.043484666  1.7186354
## 667  0.092899704          4.50   -0.950584962  3.5408229
## 668  0.092899704          5.00   -0.857685258  3.7877307
## 669  0.092899704          5.50   -0.764785554  3.4714191
## 670  0.092899704          6.00   -0.671885851  5.0471542
## 671  0.245567511          4.75   -1.185375471  3.8198991
## 672  0.245567511          5.25   -0.939807961  6.5173598
## 673  0.245567511          5.75   -0.694240450  3.1741499
## 674  0.245567511          6.25   -0.448672940  4.6355570
## 675  0.245567511          6.75   -0.203105429  5.6007133
## 676  0.548254644          4.00   -0.041754437  2.7469809
## 677  0.548254644          4.50    0.506500207  5.5129916
## 678  0.548254644          5.00    1.054754852  5.3924891
## 679  0.548254644          5.50    1.603009496  8.1329571
## 680  0.548254644          6.00    2.151264140  7.8056006
## 681  1.094071264          4.00   -0.449714173  4.4412731
## 682  1.094071264          4.50    0.644357091  4.2158495
## 683  1.094071264          5.00    1.738428355  6.8096907
## 684  1.094071264          5.50    2.832499620  6.2871976
## 685  1.094071264          6.00    3.926570884 11.5952582
## 686 -0.018706352          4.00    0.109626506  4.4610514
## 687 -0.018706352          4.50    0.090920153  5.9093982
## 688 -0.018706352          5.00    0.072213801  5.9944996
## 689 -0.018706352          5.50    0.053507448  6.7112971
## 690 -0.018706352          6.00    0.034801096  5.6219480
## 691 -0.136823520          4.75   -0.376125822  4.3737365
## 692 -0.136823520          5.25   -0.512949342  5.9065449
## 693 -0.136823520          5.75   -0.649772862  3.7754880
## 694 -0.136823520          6.25   -0.786596382  4.0867680
## 695 -0.136823520          6.75   -0.923419902  5.6615006
## 696  0.194881112          4.75    0.549295830  5.9406553
## 697  0.194881112          5.25    0.744176941  5.6363157
## 698  0.194881112          5.75    0.939058053  8.5138773
## 699  0.194881112          6.25    1.133939165  7.8165757
## 700  0.194881112          6.75    1.328820276  6.9662106
## 701 -0.591721395          4.75   -0.335713727  3.6399796
## 702 -0.591721395          5.25   -0.927435122  4.5530892
## 703 -0.591721395          5.75   -1.519156517  2.9555037
## 704 -0.591721395          6.25   -2.110877912  3.5608905
## 705 -0.591721395          6.75   -2.702599307  3.3604167
## 706  0.879230519          4.75   -0.329306276  3.7813949
## 707  0.879230519          5.25    0.549924243  4.7101152
## 708  0.879230519          5.75    1.429154762  7.8934969
## 709  0.879230519          6.25    2.308385281  9.0990569
## 710  0.879230519          6.75    3.187615800 10.7581705
## 711 -0.742333717          4.75   -0.306610925  5.6083241
## 712 -0.742333717          5.25   -1.048944642  4.9397226
## 713 -0.742333717          5.75   -1.791278359  1.8422003
## 714 -0.742333717          6.25   -2.533612076  3.1887225
## 715 -0.742333717          6.75   -3.275945792  2.8620223
## 716  0.110349060          4.75    0.986368622  4.9820152
## 717  0.110349060          5.25    1.096717682  5.8495829
## 718  0.110349060          5.75    1.207066742  7.3446192
## 719  0.110349060          6.25    1.317415801  9.1414147
## 720  0.110349060          6.75    1.427764861  8.0727226
## 721  0.933459703          4.75    0.365520662  4.8679157
## 722  0.933459703          5.25    1.298980365  6.7187693
## 723  0.933459703          5.75    2.232440068  9.6672111
## 724  0.933459703          6.25    3.165899771  8.6226689
## 725  0.933459703          6.75    4.099359473 10.6290792
## 726  0.400944852          4.00    0.007263442  3.0219510
## 727  0.400944852          4.50    0.408208294  5.7625574
## 728  0.400944852          5.00    0.809153146  6.9113949
## 729  0.400944852          5.50    1.210097998  6.9726600
## 730  0.400944852          6.00    1.611042849  9.1181479
## 731  0.135346450          4.00   -0.317448217  3.4099013
## 732  0.135346450          4.50   -0.182101767  5.5294160
## 733  0.135346450          5.00   -0.046755317  4.1578256
## 734  0.135346450          5.50    0.088591132  5.7986738
## 735  0.135346450          6.00    0.223937582  6.4265449
## 736 -0.122848257          4.00   -0.410767323  3.1322512
## 737 -0.122848257          4.50   -0.533615580  3.2420494
## 738 -0.122848257          5.00   -0.656463838  3.6955209
## 739 -0.122848257          5.50   -0.779312095  5.7716391
## 740 -0.122848257          6.00   -0.902160353  4.8906710
## 741 -0.271979765          4.75   -0.117777718  4.0496356
## 742 -0.271979765          5.25   -0.389757482  6.9732297
## 743 -0.271979765          5.75   -0.661737247  4.6511882
## 744 -0.271979765          6.25   -0.933717011  5.2815483
## 745 -0.271979765          6.75   -1.205696776  6.1539483
## 746  0.161113143          4.00   -0.140498385  3.8118599
## 747  0.161113143          4.50    0.020614758  4.0381896
## 748  0.161113143          5.00    0.181727901  5.4426582
## 749  0.161113143          5.50    0.342841045  6.5575289
## 750  0.161113143          6.00    0.503954188  5.6907877
## 751  0.176762674          4.75   -0.505660454  3.2136295
## 752  0.176762674          5.25   -0.328897780  7.1784894
## 753  0.176762674          5.75   -0.152135106  5.8636099
## 754  0.176762674          6.25    0.024627568  5.1983041
## 755  0.176762674          6.75    0.201390242  4.7043006
## 756  0.495171129          4.75   -0.606193567  4.8459897
## 757  0.495171129          5.25   -0.111022438  5.4793844
## 758  0.495171129          5.75    0.384148691  6.2894901
## 759  0.495171129          6.25    0.879319820  7.7922926
## 760  0.495171129          6.75    1.374490949  8.4193458
## 761  0.238837320          4.00    0.663233257  4.8536379
## 762  0.238837320          4.50    0.902070576  5.8131093
## 763  0.238837320          5.00    1.140907896  7.4136420
## 764  0.238837320          5.50    1.379745216  7.6027745
## 765  0.238837320          6.00    1.618582535  8.8086047
## 766  0.344727371          4.00   -0.048086710  3.8830770
## 767  0.344727371          4.50    0.296640661  4.9334455
## 768  0.344727371          5.00    0.641368033  5.4128383
## 769  0.344727371          5.50    0.986095404  7.9654576
## 770  0.344727371          6.00    1.330822775  7.2589006
## 771 -0.385956888          4.00   -0.345774052  5.3274543
## 772 -0.385956888          4.50   -0.731730941  3.9836388
## 773 -0.385956888          5.00   -1.117687829  4.5174061
## 774 -0.385956888          5.50   -1.503644717  4.0633921
## 775 -0.385956888          6.00   -1.889601606  5.0288037
## 776  0.227671484          4.75   -0.207341895  5.0650228
## 777  0.227671484          5.25    0.020329589  5.4433432
## 778  0.227671484          5.75    0.248001072  4.7343314
## 779  0.227671484          6.25    0.475672556  7.8838491
## 780  0.227671484          6.75    0.703344040  7.7656152
## 781  0.622366495          4.75    0.023844948  5.1819635
## 782  0.622366495          5.25    0.646211443  5.8134650
## 783  0.622366495          5.75    1.268577938  6.6349065
## 784  0.622366495          6.25    1.890944433  8.4938585
## 785  0.622366495          6.75    2.513310928  7.6600840
## 786 -0.903113488          4.00   -0.580355117  3.6475934
## 787 -0.903113488          4.50   -1.483468605  3.5422211
## 788 -0.903113488          5.00   -2.386582093  1.9878426
## 789 -0.903113488          5.50   -3.289695580  2.0097616
## 790 -0.903113488          6.00   -4.192809068  1.2239345
## 791  0.873852599          4.00    0.158226311  3.8872070
## 792  0.873852599          4.50    1.032078910  5.6503605
## 793  0.873852599          5.00    1.905931509  8.3898669
## 794  0.873852599          5.50    2.779784107  7.7480065
## 795  0.873852599          6.00    3.653636706  8.5913347
## 796  0.257220805          4.00   -0.780531496  3.7644736
## 797  0.257220805          4.50   -0.523310691  4.2922704
## 798  0.257220805          5.00   -0.266089886  3.4923561
## 799  0.257220805          5.50   -0.008869081  4.7275577
## 800  0.257220805          6.00    0.248351725  6.3561317
## 801 -1.150548435          4.75    0.385761755  6.5819684
## 802 -1.150548435          5.25   -0.764786680  4.1768309
## 803 -1.150548435          5.75   -1.915335115  5.0925765
## 804 -1.150548435          6.25   -3.065883549  3.4338369
## 805 -1.150548435          6.75   -4.216431984  1.8920260
## 806 -0.782691462          4.75    0.876587851  4.6713898
## 807 -0.782691462          5.25    0.093896389  5.2979209
## 808 -0.782691462          5.75   -0.688795073  4.2794025
## 809 -0.782691462          6.25   -1.471486535  6.5471431
## 810 -0.782691462          6.75   -2.254177997  4.8683451
## 811 -0.308552652          4.75    0.049065430  5.8311825
## 812 -0.308552652          5.25   -0.259487222  4.2870772
## 813 -0.308552652          5.75   -0.568039874  5.8329713
## 814 -0.308552652          6.25   -0.876592527  4.7991370
## 815 -0.308552652          6.75   -1.185145179  5.0674042
## 816  0.168271990          4.00   -0.620254043  2.8820039
## 817  0.168271990          4.50   -0.451982053  3.4243727
## 818  0.168271990          5.00   -0.283710063  4.1905999
## 819  0.168271990          5.50   -0.115438073  4.2814518
## 820  0.168271990          6.00    0.052833917  6.8966538
## 821  0.788582797          4.00   -0.385393506  3.0339273
## 822  0.788582797          4.50    0.403189291  5.5309635
## 823  0.788582797          5.00    1.191772089  6.8848188
## 824  0.788582797          5.50    1.980354886  8.5626605
## 825  0.788582797          6.00    2.768937683  8.6867625
## 826  0.301117325          4.75   -0.391128697  5.2303010
## 827  0.301117325          5.25   -0.090011372  5.9121790
## 828  0.301117325          5.75    0.211105953  5.3759507
## 829  0.301117325          6.25    0.512223277  5.7299491
## 830  0.301117325          6.75    0.813340602  6.1727020
## 831  0.829829161          4.00   -0.392028207  4.1380912
## 832  0.829829161          4.50    0.437800955  3.7733347
## 833  0.829829161          5.00    1.267630116  7.0392371
## 834  0.829829161          5.50    2.097459278  7.8724184
## 835  0.829829161          6.00    2.927288439  8.3763312
## 836 -0.535612665          4.00   -0.782533258  1.8533939
## 837 -0.535612665          4.50   -1.318145923  2.9923786
## 838 -0.535612665          5.00   -1.853758588  2.8382755
## 839 -0.535612665          5.50   -2.389371252  2.5068271
## 840 -0.535612665          6.00   -2.924983917  1.7179971
## 841 -0.142753221          4.75    0.121221519  4.7965677
## 842 -0.142753221          5.25   -0.021531702  5.6805700
## 843 -0.142753221          5.75   -0.164284923  5.8713010
## 844 -0.142753221          6.25   -0.307038144  6.9920269
## 845 -0.142753221          6.75   -0.449791364  7.0783606
## 846 -0.715743587          4.75   -0.246036289  3.7007507
## 847 -0.715743587          5.25   -0.961779876  2.4819933
## 848 -0.715743587          5.75   -1.677523463  5.3592557
## 849 -0.715743587          6.25   -2.393267049  2.7129966
## 850 -0.715743587          6.75   -3.109010636  4.1809986
## 851  0.709867952          4.75    0.159849216  6.0007723
## 852  0.709867952          5.25    0.869717168  6.4436890
## 853  0.709867952          5.75    1.579585120  7.9868136
## 854  0.709867952          6.25    2.289453071  9.9288021
## 855  0.709867952          6.75    2.999321023  9.4448088
## 856  0.158873011          4.00   -0.171183688  2.8151119
## 857  0.158873011          4.50   -0.012310677  3.7508835
## 858  0.158873011          5.00    0.146562335  4.5884620
## 859  0.158873011          5.50    0.305435346  4.5796223
## 860  0.158873011          6.00    0.464308358  6.3258947
## 861 -0.279792484          4.00   -0.207492844  1.9152971
## 862 -0.279792484          4.50   -0.487285328  3.6707472
## 863 -0.279792484          5.00   -0.767077812  2.7627226
## 864 -0.279792484          5.50   -1.046870296  5.0087505
## 865 -0.279792484          6.00   -1.326662780  4.2682388
## 866  0.444976761          4.75    0.287864689  5.2858439
## 867  0.444976761          5.25    0.732841450  7.1586129
## 868  0.444976761          5.75    1.177818212  7.7538555
## 869  0.444976761          6.25    1.622794973  8.5463074
## 870  0.444976761          6.75    2.067771734  8.7673321
## 871 -0.667214079          4.00   -0.311627463  3.4087458
## 872 -0.667214079          4.50   -0.978841543  3.0658032
## 873 -0.667214079          5.00   -1.646055622  2.4683639
## 874 -0.667214079          5.50   -2.313269701  2.8736787
## 875 -0.667214079          6.00   -2.980483780  2.3909172
## 876 -0.438121109          4.75    0.186664544  6.5089743
## 877 -0.438121109          5.25   -0.251456565  5.6058629
## 878 -0.438121109          5.75   -0.689577674  2.6267582
## 879 -0.438121109          6.25   -1.127698783  6.1762049
## 880 -0.438121109          6.75   -1.565819892  6.0649667
## 881  1.046186380          4.75   -0.575310167  4.9812652
## 882  1.046186380          5.25    0.470876213  6.4642243
## 883  1.046186380          5.75    1.517062593  6.8684976
## 884  1.046186380          6.25    2.563248974  7.4684204
## 885  1.046186380          6.75    3.609435354  8.9922790
## 886 -0.530161018          4.75    0.780045371  4.3960949
## 887 -0.530161018          5.25    0.249884353  3.8328621
## 888 -0.530161018          5.75   -0.280276664  4.6729950
## 889 -0.530161018          6.25   -0.810437682  6.8687081
## 890 -0.530161018          6.75   -1.340598699  4.1361507
## 891 -0.454856635          4.75   -0.192892720  6.0753811
## 892 -0.454856635          5.25   -0.647749355  5.6270951
## 893 -0.454856635          5.75   -1.102605991  3.9378837
## 894 -0.454856635          6.25   -1.557462626  4.9114015
## 895 -0.454856635          6.75   -2.012319261  4.2992266
## 896 -1.022063489          4.75    0.409809383  4.4036751
## 897 -1.022063489          5.25   -0.612254106  4.6163277
## 898 -1.022063489          5.75   -1.634317595  3.2544839
## 899 -1.022063489          6.25   -2.656381083  3.7803156
## 900 -1.022063489          6.75   -3.678444572  5.0883758

Varying Arguments to Compute Power