
arXiv: 1708.03272
handle: 10754/626186
Bayesian hierarchical models are increasingly popular for realistic modelling and analysis of complex data. This trend is accompanied by the need for flexible, general and computationally efficient methods for model criticism and conflict detection. Usually, a Bayesian hierarchical model incorporates a grouping of the individual data points, as, for example, with individuals in repeated measurement data. In such cases, the following question arises: Are any of the groups “outliers,” or in conflict with the remaining groups? Existing general approaches aiming to answer such questions tend to be extremely computationally demanding when model fitting is based on Markov chain Monte Carlo. We show how group‐level model criticism and conflict detection can be carried out quickly and accurately through integrated nested Laplace approximations (INLA). The new method is implemented as a part of the open‐source R‐INLA package for Bayesian computing (http://r-inla.org). Copyright © 2017 John Wiley & Sons, Ltd.
FOS: Computer and information sciences, Statistics, model criticism, 610 Medicine & health, Mathematics - Statistics Theory, 10060 Epidemiology, Biostatistics and Prevention Institute (EBPI), Statistics Theory (math.ST), Statistics - Computation, Methodology (stat.ME), latent Gaussian models, Bayesian computing, INLA, FOS: Mathematics, 1804 Statistics, Probability and Uncertainty, 2613 Statistics and Probability, Bayesian modelling, Statistics - Methodology, Computation (stat.CO)
FOS: Computer and information sciences, Statistics, model criticism, 610 Medicine & health, Mathematics - Statistics Theory, 10060 Epidemiology, Biostatistics and Prevention Institute (EBPI), Statistics Theory (math.ST), Statistics - Computation, Methodology (stat.ME), latent Gaussian models, Bayesian computing, INLA, FOS: Mathematics, 1804 Statistics, Probability and Uncertainty, 2613 Statistics and Probability, Bayesian modelling, Statistics - Methodology, Computation (stat.CO)
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