Lüdecke D (2018). *ggeffects: Tidy Data Frames of Marginal Effects from Regression Models.* Journal of Open Source Software, 3(26), 772. doi: 10.21105/joss.00772

Results of regression models are typically presented as tables that are easy to understand. For more complex models that include interaction or quadratic / spline terms, tables with numbers are less helpful and difficult to interpret. In such cases, *marginal effects* are far easier to understand. In particular, the visualization of marginal effects allows to intuitively get the idea of how predictors and outcome are associated, even for complex models.

**ggeffects** computes marginal effects at the mean or at representative values (see definitions here) from statistical models and returns the result as tidy data frames. These data frames are ready to use with the **ggplot2**-package.

Please visit https://strengejacke.github.io/ggeffects/ for documentation and vignettes. In case you want to file an issue or contribute in another way to the package, please follow this guide. For questions about the functionality, you may either contact me via email or also file an issue.

Marginal effects can be calculated for many different models. Currently supported model-objects are: `betabin`

, `betareg`

, `bglmer`

, `blmer`

, `brglm`

, `brmsfit`

, `clm`

, `clm2`

, `clmm`

, `coxph`

, `gam`

(package **mgcv**), `Gam`

(package **gam**), `gamlss`

, `gamm`

, `gamm4`

, `gee`

, `geeglm`

, `glm`

, `glm.nb`

, `glmer`

, `glmer.nb`

, `glmmTMB`

, `glmmPQL`

, `glmrob`

, `glmRob`

, `gls`

, `hurdle`

, `ivreg`

, `lm`

, `lm_robust`

, `lme`

, `lmer`

, `lmrob`

, `lmRob`

, `logistf`

, `lrm`

, `MixMod`

, `MCMCglmm`

, `multinom`

, `negbin`

, `nlmer`

, `ols`

, `plm`

, `polr`

, `rlm`

, `rlmer`

, `rq`

, `rqss`

, `stanreg`

, `survreg`

, `svyglm`

, `svyglm.nb`

, `tobit`

, `truncreg`

, `vgam`

, `wbm`

, `zeroinfl`

and `zerotrunc`

. Other models not listed here are passed to a generic predict-function and might work as well, or maybe with `ggeffect()`

or `ggemmeans()`

, which effectively do the same as `ggpredict()`

.

Interaction terms, splines and polynomial terms are also supported. The main functions are `ggpredict()`

, `ggemmeans()`

and `ggeffect()`

. There is a generic `plot()`

-method to plot the results using **ggplot2**.

The returned data frames always have the same, consistent structure and column names, so it’s easy to create ggplot-plots without the need to re-write the function call. `x`

and `predicted`

are the values for the x- and y-axis. `conf.low`

and `conf.high`

could be used as `ymin`

and `ymax`

aesthetics for ribbons to add confidence bands to the plot. `group`

can be used as grouping-aesthetics, or for faceting.

`ggpredict()`

requires at least one, but not more than four terms specified in the `terms`

-argument. Predicted values of the response, along the values of the first term are calculated, optionally grouped by the other terms specified in `terms`

.

```
library(ggeffects)
library(splines)
data(efc)
fit <- lm(barthtot ~ c12hour + bs(neg_c_7) * c161sex + e42dep, data = efc)
ggpredict(fit, terms = "c12hour")
#>
#> # Predicted values of Total score BARTHEL INDEX
#> # x = average number of hours of care per week
#>
#> x predicted std.error conf.low conf.high
#> 4 68 1.06 66 70
#> 12 67 1.01 65 69
#> 22 66 0.96 64 68
#> 36 65 0.92 63 66
#> 49 63 0.93 62 65
#> 70 61 1.01 59 63
#> 100 58 1.25 56 61
#> 168 51 2.04 47 55
#>
#> Adjusted for:
#> * neg_c_7 = 11.83
#> * c161sex = 1.76
#> * e42dep = 2.93
```

A possible call to ggplot could look like this:

```
library(ggplot2)
mydf <- ggpredict(fit, terms = "c12hour")
ggplot(mydf, aes(x, predicted)) +
geom_line() +
geom_ribbon(aes(ymin = conf.low, ymax = conf.high), alpha = .1)
```

However, there is also a `plot()`

-method. This method uses convenient defaults, to easily create the most suitable plot for the marginal effects.

With three variables, predictions can be grouped and faceted.

```
ggpredict(fit, terms = c("neg_c_7", "c161sex", "e42dep"))
#>
#> # Predicted values of Total score BARTHEL INDEX
#> # x = Negative impact with 7 items
#>
#> # c161sex = Male
#> # e42dep = [1] independent
#> x predicted std.error conf.low conf.high
#> 7 103 3.5 96 110
#> 12 102 2.6 97 107
#> 17 94 3.5 87 101
#> 28 165 35.0 96 233
#>
#> # c161sex = Female
#> # e42dep = [1] independent
#> x predicted std.error conf.low conf.high
#> 7 110 2.2 105 114
#> 12 100 2.0 96 104
#> 17 95 2.4 90 100
#> 28 90 9.4 72 109
#>
#> # c161sex = Male
#> # e42dep = [2] slightly dependent
#> x predicted std.error conf.low conf.high
#> 7 84 3.3 77 90
#> 12 83 2.2 79 88
#> 17 75 3.1 69 81
#> 28 146 35.0 77 214
#>
#> # c161sex = Female
#> # e42dep = [2] slightly dependent
#> x predicted std.error conf.low conf.high
#> 7 91 1.9 87 94
#> 12 81 1.3 78 83
#> 17 76 1.8 72 80
#> 28 71 9.3 53 89
#>
#> # c161sex = Male
#> # e42dep = [3] moderately dependent
#> x predicted std.error conf.low conf.high
#> 7 65 3.3 58 71
#> 12 64 2.0 60 68
#> 17 56 2.9 50 62
#> 28 127 35.0 58 195
#>
#> # c161sex = Female
#> # e42dep = [3] moderately dependent
#> x predicted std.error conf.low conf.high
#> 7 72 2.0 68 75
#> 12 62 1.0 60 64
#> 17 57 1.5 54 60
#> 28 52 9.2 34 70
#>
#> # c161sex = Male
#> # e42dep = [4] severely dependent
#> x predicted std.error conf.low conf.high
#> 7 46 3.5 39 53
#> 12 45 2.2 41 49
#> 17 37 3.0 31 43
#> 28 108 35.0 39 176
#>
#> # c161sex = Female
#> # e42dep = [4] severely dependent
#> x predicted std.error conf.low conf.high
#> 7 53 2.4 48 57
#> 12 43 1.3 40 45
#> 17 38 1.6 35 41
#> 28 33 9.2 15 51
#>
#> Adjusted for:
#> * c12hour = 42.10
mydf <- ggpredict(fit, terms = c("neg_c_7", "c161sex", "e42dep"))
ggplot(mydf, aes(x = x, y = predicted, colour = group)) +
geom_line() +
facet_wrap(~facet)
```

`plot()`

works for this case, as well:

There are some more features, which are explained in more detail in the package-vignette.

To install the latest development snapshot (see latest changes below), type following commands into the R console:

To install the latest stable release from CRAN, type following command into the R console:

In case you want / have to cite my package, please use `citation('ggeffects')`

for citation information:

Lüdecke D (2018). *ggeffects: Tidy Data Frames of Marginal Effects from Regression Models.* Journal of Open Source Software, 3(26), 772. doi: 10.21105/joss.00772