On the equivalence of posterior inference based on retrospective and prospective likelihoods
On the equivalence of posterior inference based on retrospective and prospective likelihoods
The paper develops a class of priors which 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 proposed method can accommodate multiple and possibly ordered disease status as well as any arbitrary link function and is not restricted to the conventional logit link. The results are applied to the analysis of an ongoing case-control study on colorectal cancer.
case-control, colorectal cancer, multiplicative intercept, stereotype, stratification
University of Southampton
Ghosh, M.
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Song, J.
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Forster, Jonathan J.
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Mitra, Robin
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Mukherjee, B.
717010dc-5f0d-45e0-a031-2cfb85bc29b1
2010
Ghosh, M.
bb05afba-621b-42ba-b793-3cdc7d84e730
Song, J.
e82ff981-9c67-4ff5-8971-cb518bd1b3db
Forster, Jonathan 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, Jonathan J., Mitra, Robin and Mukherjee, B.
(2010)
On the equivalence of posterior inference based on retrospective and prospective likelihoods
Southampton, GB.
University of Southampton
11pp.
Record type:
Monograph
(Working Paper)
Abstract
The paper develops a class of priors which 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 proposed method can accommodate multiple and possibly ordered disease status as well as any arbitrary link function and is not restricted to the conventional logit link. The results are applied to the analysis of an ongoing case-control study on colorectal cancer.
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Published date: 2010
Keywords:
case-control, colorectal cancer, multiplicative intercept, stereotype, stratification
Organisations:
Social Statistics & Demography, Statistics, Mathematical Sciences
Identifiers
Local EPrints ID: 151601
URI: http://eprints.soton.ac.uk/id/eprint/151601
PURE UUID: a6656112-3af2-4b93-bf01-c26da7c5029a
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Date deposited: 11 May 2010 16:04
Last modified: 14 Mar 2024 02:37
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Contributors
Author:
M. Ghosh
Author:
J. Song
Author:
Jonathan J. Forster
Author:
B. Mukherjee
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