On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer

Ghosh, M., Song, J., Forster, J.J., Mitra, R. ORCID: https://orcid.org/0000-0001-9584-8044 and Mukherjee, B. 2012. On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer. Statistics in Medicine 31 (20) , pp. 2196-2208. 10.1002/sim.5358

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Abstract

The paper develops a class of priors that leads to equivalent posterior inference for odds ratio parameters based on prospective and retrospective models for categorical response data. The results are applicable to both unmatched and matched case-control studies. The results hold for a general class of link functions for categorical response. The proposed method can accommodate multiple and possibly ordered disease states. The results are applied to the analysis of discrete subtypes in an ongoing case-control study of colorectal cancer. A simulation study illustrates the need for carefully considering prior choices in Bayesian analysis of data collected under retrospective design.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Wiley
ISSN:	0277-6715
Date of Acceptance:	8 February 2012
Last Modified:	06 May 2023 02:00
URI:	https://orca.cardiff.ac.uk/id/eprint/141148

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