Robustness of linear mixed‐effects models to violations of distributional assumptions

A brief introduction to mixed effects modelling and multi-model inference in ecology

(2018) Xavier A. Harrison et al.   PeerJ

Statistical Quantification of Individual Differences (SQuID): an educational and statistical tool for understanding multilevel phenotypic data in linear mixed models

(2016) Hassen Allegue et al.   Methods in Ecology and Evolution

Fitting Linear Mixed-Effects Models Usinglme4

(2015) Douglas Bates et al.   Journal of Statistical Software

HLMdiag: A Suite of Diagnostics for Hierarchical Linear Models inR

(2015) Adam Loy et al.   Journal of Statistical Software

The biology hidden inside residual within-individual phenotypic variation

(2014) David F. Westneat et al.   BIOLOGICAL REVIEWS

Specification of random effects in multilevel models: a review

(2014) Leonardo Grilli et al.   QUALITY & QUANTITY

Robustness of the linear mixed effects model to error distribution assumptions and the consequences for genome-wide association studies

(2014) Nicole M. Warrington et al.   Statistical Applications in Genetics and Molecular Biology

Quantifying the predictability of behaviour: statistical approaches for the study of between-individual variation in the within-individual variance

(2014) Ian R. Cleasby et al.   Methods in Ecology and Evolution

Neglected biological patterns in the residuals

(2011) Ian R. Cleasby et al.   BEHAVIORAL ECOLOGY AND SOCIOBIOLOGY

Measurement and Meaning in Biology

(2011) David Houle et al.   QUARTERLY REVIEW OF BIOLOGY

Misspecifying the Shape of a Random Effects Distribution: Why Getting It Wrong May Not Matter

(2011) Charles E. McCulloch et al.   STATISTICAL SCIENCE

Avoiding bias in mixed model inference for fixed effects

(2011) Matthew J. Gurka et al.   STATISTICS IN MEDICINE

A Note on the Indeterminacy of the Random-Effects Distribution in Hierarchical Models

(2010) Ariel Alonso et al.   AMERICAN STATISTICIAN

Dealing with collinearity in behavioural and ecological data: model averaging and the problems of measurement error

(2010) Robert P. Freckleton   BEHAVIORAL ECOLOGY AND SOCIOBIOLOGY

Repeatability for Gaussian and non-Gaussian data: a practical guide for biologists

(2010) Shinichi Nakagawa et al.   BIOLOGICAL REVIEWS

An improved approximation to the precision of fixed effects from restricted maximum likelihood

(2009) Michael G. Kenward et al.   COMPUTATIONAL STATISTICS & DATA ANALYSIS

Real longitudinal data analysis for real people: Building a good enough mixed model

(2009) Jing Cheng et al.   STATISTICS IN MEDICINE

Generalized linear mixed models: a practical guide for ecology and evolution

(2009) Benjamin M. Bolker et al.   TRENDS IN ECOLOGY & EVOLUTION

A protocol for data exploration to avoid common statistical problems

(2009) Alain F. Zuur et al.   Methods in Ecology and Evolution

Conclusions beyond support: overconfident estimates in mixed models

(2008) H. Schielzeth et al.   BEHAVIORAL ECOLOGY

Missing inaction: the dangers of ignoring missing data

(2008) Shinichi Nakagawa et al.   TRENDS IN ECOLOGY & EVOLUTION