Extension of Nakagawa & Schielzeth's R2GLMM to random slopes models

Methods Ecol Evol. 2014 Sep;5(9):944-946. doi: 10.1111/2041-210X.12225. Epub 2014 Jul 23.


Nakagawa & Schielzeth extended the widely used goodness-of-fit statistic R2 to apply to generalized linear mixed models (GLMMs). However, their R2GLMM method is restricted to models with the simplest random effects structure, known as random intercepts models. It is not applicable to another common random effects structure, random slopes models.I show that R2GLMM can be extended to random slopes models using a simple formula that is straightforward to implement in statistical software. This extension substantially widens the potential application of R2GLMM.

Keywords: coefficient of determination; generalized linear mixed model; random regression; random slopes model.