A default prior distribution for contingency tables with dependent factor levels
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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.
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 . DOI: 10.1016/j.stamet.2013.08.007
© 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.
Both authors were partly funded by MRC-funded addictions cluster, NIQUAD (Grant No. G1000021).
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