Generalised additive mixed models analysis via gammSlice |
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Authors: | Tung H. Pham Matt P. Wand |
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Affiliation: | 1. School of Mathematics and Statistics, University of Melbourne, Melbourne, VIC, Australia;2. School of Mathematical and Physical Sciences, University of Technology Sydney, Broadway, NSW, Australia |
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Abstract: | We demonstrate the use of our R package, gammSlice, for Bayesian fitting and inference in generalised additive mixed model analysis. This class of models includes generalised linear mixed models and generalised additive models as special cases. Accurate Bayesian inference is achievable via sufficiently large Markov chain Monte Carlo (MCMC) samples. Slice sampling is a key component of the MCMC scheme. Comparisons with existing generalised additive mixed model software shows that gammSlice offers improved inferential accuracy, albeit at the cost of longer computational time. |
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Keywords: | generalised additive models generalised linear mixed models slice sampling Markov chain Monte Carlo penalised splines
R
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