A default prior distribution for contingency tables with dependent factor levels
Abstract
A default prior distribution is proposed for the Bayesian analysis of contingency tables. The prior is specified to allow for dependence between levels of the factors. Different dependence structures are considered, including conditional autoregressive and distance correlation structures. To demonstrate the prior distribution, a dataset is considered involving estimating the number of injecting drug users in the eleven National Health Service board regions of Scotland using an incomplete contingency table where the dependence structure relates to geographical regions.
Citation
Overstall , A & King , R 2014 , ' A default prior distribution for contingency tables with dependent factor levels ' , Statistical Methodology , vol. 16 , no. 1 , pp. 90-99 . https://doi.org/10.1016/j.stamet.2013.08.007
Publication
Statistical Methodology
Status
Peer reviewed
ISSN
1572-3127Type
Journal article
Description
Both authors were partly funded by MRC-funded addictions cluster, NIQUAD (Grant No. G1000021).Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.