A default prior distribution for contingency tables with dependent factor levels

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

DOI

https://doi.org/10.1016/j.stamet.2013.08.007

ISSN

1572-3127

Type

Journal article

Rights

© 2014 The Authors. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Description

Both authors were partly funded by MRC-funded addictions cluster, NIQUAD (Grant No. G1000021).

Collections

University of St Andrews Research

URI

http://hdl.handle.net/10023/4042