The coefficient of determination R² and intra-class correlation coefficient from generalized linear mixed-effects models revisited and expanded.

ABSTRACT: The coefficient of determination R² quantifies the proportion of variance explained by a statistical model and is an important summary statistic of biological interest. However, estimating R² for generalized linear mixed models (GLMMs) remains challenging. We have previously introduced a version of R² that we called [Formula: see text] for Poisson and binomial GLMMs, but not for other distributional families. Similarly, we earlier discussed how to estimate intra-class correlation coefficients (ICCs) using Poisson and binomial GLMMs. In this paper, we generalize our methods to all other non-Gaussian distributions, in particular to negative binomial and gamma distributions that are commonly used for modelling biological data. While expand

SUBMITTER: Nakagawa S 

PROVIDER: S-EPMC5636267 | biostudies-literature | 2017 Sep

REPOSITORIES: biostudies-literature