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

被引:6760
作者
Bolker, Benjamin M. [1 ]
Brooks, Mollie E. [1 ]
Clark, Connie J. [1 ]
Geange, Shane W. [2 ]
Poulsen, John R. [1 ]
Stevens, M. Henry H. [3 ]
White, Jada-Simone S. [1 ]
机构
[1] Univ Florida, Dept Bot & Zool, Gainesville, FL 32611 USA
[2] Victoria Univ Wellington, Sch Biol Sci, Wellington 6140, New Zealand
[3] Miami Univ, Dept Bot, Oxford, OH 45056 USA
关键词
LIKELIHOOD RATIO TESTS; MAXIMUM-LIKELIHOOD; MULTILEVEL MODELS; VARIANCE; INFERENCE; SELECTION; SIZE; APPROXIMATIONS; STOCHASTICITY; HERITABILITY;
D O I
10.1016/j.tree.2008.10.008
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
How should ecologists and evolutionary biologists analyze nonnormal data that involve random effects? Nonnormal data such as counts or proportions often defy classical statistical procedures. Generalized linear mixed models (GLMMs) provide a more flexible approach for analyzing nonnormal data when random effects are present. The explosion of research on GLMMs in the last decade has generated considerable uncertainty for practitioners in ecology and evolution. Despite the availability of accurate techniques for estimating GLMM parameters in simple cases, complex GLMMs are challenging to fit and statistical inference such as hypothesis testing remains difficult. We review the use (and misuse) of GLMMs in ecology and evolution, discuss estimation and inference and summarize 'best-practice' data analysis procedures for scientists facing this challenge.
引用
收藏
页码:127 / 135
页数:9
相关论文
共 69 条
[1]  
Agresti A., 2002, CATEGORICAL DATA ANA, DOI [10.1002/0471249688, DOI 10.1002/0471249688]
[2]   Quantifying sources of variation in the frequency of fungi associated with spruce beetles: Implications for hypothesis testing and sampling methodology in bark beetle-symbiont relationships [J].
Aukema, BH ;
Werner, RA ;
Haberkern, KE ;
Illman, BL ;
Clayton, MK ;
Raffa, KF .
FOREST ECOLOGY AND MANAGEMENT, 2005, 217 (2-3) :187-202
[3]   Mixed-effects modeling with crossed random effects for subjects and items [J].
Baayen, R. H. ;
Davidson, D. J. ;
Bates, D. M. .
JOURNAL OF MEMORY AND LANGUAGE, 2008, 59 (04) :390-412
[4]  
BANTA JA, 2008, THESIS STONY BROOK U
[5]   Evidence of local adaptation to coarse-grained environmental variation in Arabidopsis thaliana [J].
Banta, Joshua A. ;
Dole, Jefferey ;
Cruzan, Mitchell B. ;
Pigliucci, Massimo .
EVOLUTION, 2007, 61 (10) :2419-2432
[6]   The Case for Objective Bayesian Analysis [J].
Berger, James .
BAYESIAN ANALYSIS, 2006, 1 (03) :385-402
[7]   Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm [J].
Booth, JG ;
Hobert, JP .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1999, 61 :265-285
[8]  
Breslow N, 2004, LECT NOTES STAT, V179, P1
[9]   APPROXIMATE INFERENCE IN GENERALIZED LINEAR MIXED MODELS [J].
BRESLOW, NE ;
CLAYTON, DG .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1993, 88 (421) :9-25
[10]   General methods for monitoring convergence of iterative simulations [J].
Brooks, SP ;
Gelman, A .
JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 1998, 7 (04) :434-455