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Fast and accurate Bayesian model criticism and conflict diagnostics using R‐INLA

Fast and accurate Bayesian model criticism and conflict diagnostics using R-INLA
Authors: Ferkingstad, Egil; Held, Leonhard; Rue, Håvard;

Fast and accurate Bayesian model criticism and conflict diagnostics using R‐INLA

Abstract

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.

Countries
Saudi Arabia, Switzerland
Keywords

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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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Average
Average
Green
gold