MCMC Methods for Multi-Response Generalized Linear Mixed Models: The MCMCglmm R Package
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Abstract
Generalized linear mixed models provide a flexible framework for modeling a range of data, although with non-Gaussian response variables the likelihood cannot be obtained in closed form. Markov chain Monte Carlo methods solve this problem by sampling from a series of simpler conditional distributions that can be evaluated. The R package MCMCglmm implements such an algorithm for a range of model fitting problems. More than one response variable can be analyzed simultaneously, and these variables are allowed to follow Gaussian, Poisson, multi(bi)nominal, exponential, zero-inflated and censored distributions. A range of variance structures are permitted for the random effects, including interactions with…
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Topics
Keywords
- Markov chain Monte Carlo
- Categorical variable
- Statistics
- Mathematics
- Range (aeronautics)
- Gaussian
- Applied mathematics
- Poisson distribution
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