title: Extension of Nakagawa & Schielzeth'sR2GLMMto random slopes models.
abstract: Nakagawa & Schielzeth extended the widely used goodness-of-fit statisticR2to apply to generalized linear mixed models (GLMMs). However, theirR2GLMMmethod 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 thatR2GLMMcan 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 ofR2GLMM.
authors: Institute of Biodiversity, Animal Health and Comparative Medicine, University of Glasgow Graham Kerr Building, Glasgow, G12 8QQ, UK.
authors: Paul Cd
authors: PC
authors: Johnson
keywords: coefficient of determination; generalized linear mixed model; random regression; random slopes model