The coefficient of determination R 2 and intra-class correlation coefficient from generalized linear mixed-effects models revisited and expanded

The coefficient of determination R 2 quantifies the proportion of variance explained by a statistical model and is an important summary statistic of biological interest. However, estimating R 2 for generalized linear mixed models (GLMMs) remains challenging. We have previously introduced a version of R 2 that we called 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.…

• DF
  Deutsche Forschungsgemeinschaft

  Awards: SCHI 1188/1-2, SCHI 1188/1-1
• BA
  Biotechnology and Biological Sciences Research Council

  Award: BB/L018926/1
• AR
  Australian Research Council

  Award: FT130100268