On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer
On the equivalence of posterior inference based on retrospective and prospective likelihoods: application to a case-control study of colorectal cancer
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.
2196-2208
Ghosh, M.
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Song, J.
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Forster, J.J.
e3c534ad-fa69-42f5-b67b-11617bc84879
Mitra, Robin
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Mukherjee, B.
717010dc-5f0d-45e0-a031-2cfb85bc29b1
10 September 2012
Ghosh, M.
bb05afba-621b-42ba-b793-3cdc7d84e730
Song, J.
e82ff981-9c67-4ff5-8971-cb518bd1b3db
Forster, J.J.
e3c534ad-fa69-42f5-b67b-11617bc84879
Mitra, Robin
2b944cd7-5be8-4dd1-ab44-f8ada9a33405
Mukherjee, B.
717010dc-5f0d-45e0-a031-2cfb85bc29b1
Ghosh, M., Song, J., Forster, J.J., Mitra, Robin 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), .
(doi:10.1002/sim.5358).
(PMID:22495822)
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.
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Published date: 10 September 2012
Organisations:
Statistical Sciences Research Institute
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Local EPrints ID: 351748
URI: http://eprints.soton.ac.uk/id/eprint/351748
ISSN: 0277-6715
PURE UUID: b543e5f9-3bfc-4c79-b40b-98f99618fe60
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Date deposited: 30 Apr 2013 12:17
Last modified: 15 Mar 2024 02:46
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Author:
M. Ghosh
Author:
J. Song
Author:
J.J. Forster
Author:
B. Mukherjee
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