A default prior distribution for contingency tables with dependent factor levels

Overstall, A. M. and King, R. (2014) A default prior distribution for contingency tables with dependent factor levels. Statistical Methodology, 16, pp. 90-99. (doi: 10.1016/j.stamet.2013.08.007)

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 which involves 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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: King, Dr Ruth and Overstall, Dr Antony
• Authors: Overstall, A. M., and King, R.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Statistics
• Journal Name: Statistical Methodology
• Publisher: Elsevier
• ISSN: 1572-3127
• Copyright Holders: Copyright © 2014 The Authors
• First Published: First published in Statistical Methodology 16:90-99
• Publisher Policy: Reproduced under a Creative Commons License