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      Extension of Nakagawa & Schielzeth's R 2 GLMM to random slopes models

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          Abstract

          1. Nakagawa & Schielzeth extended the widely used goodness-of-fit statistic R 2 to apply to generalized linear mixed models (GLMMs). However, their R 2 GLMM 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.

          2. I show that R 2 GLMM 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 R 2 GLMM.

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          R: A Language and environmental for statistical computing

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            R: language and environment for statistical computing

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              Limited dependent and qualitative variables in econometrics.

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                Author and article information

                Journal
                Methods Ecol Evol
                Methods Ecol Evol
                mee3
                Methods in Ecology and Evolution
                BlackWell Publishing Ltd (Oxford, UK )
                2041-210X
                2041-210X
                September 2014
                23 July 2014
                : 5
                : 9
                : 944-946
                Affiliations
                Institute of Biodiversity, Animal Health and Comparative Medicine, University of Glasgow Graham Kerr Building, Glasgow, G12 8QQ, UK
                Author notes
                * Correspondence author. E-mail: paul.johnson@ 123456glasgow.ac.uk

                Handling Editor: Robert B. O'Hara

                Article
                10.1111/2041-210X.12225
                4368045
                25810896
                ee074df4-fe14-4db8-a3fb-fc8830426128
                © 2014 The Author. Methods in Ecology and Evolution published by John Wiley & Sons Ltd on behalf of British Ecological society.

                This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

                History
                : 13 January 2014
                : 25 June 2014
                Categories
                Modelling and Model Assessment

                coefficient of determination,generalized linear mixed model,random slopes model,random regression

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