eprintid: 1348504
rev_number: 35
eprint_status: archive
userid: 608
dir: disk0/01/34/85/04
datestamp: 2012-05-29 18:32:42
lastmod: 2020-06-12 07:21:30
status_changed: 2012-05-29 18:32:42
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Byrne, SPJ
creators_name: Dawid, AP
title: Retrospective-prospective symmetry in the likelihood and Bayesian analysis of case-control studies
ispublished: pub
divisions: UCL
divisions: A01
divisions: B04
divisions: C06
note: C �
2013 Biometrika Trust. This is an Open Access article distributed under the terms of the Creative Commons Attribution License
(http://creativecommons.org/licenses/by/3.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided
the original work is properly cited.

16 pages, to appear in Biometrika
abstract: Prentice & Pyke (1979) established that the maximum likelihood estimate of an odds-ratio in a case-control study is the same as would be found by running a logistic regression: in other words, for this specific target the incorrect prospective model is inferentially equivalent to the correct retrospective model. Similar results have been obtained for other models, and conditions have also been identified under which the corresponding Bayesian property holds, namely that the posterior distribution of the odds-ratio be the same, whether computed using the prospective or the retrospective likelihood. Here we demonstrate how these results follow directly from certain parameter independence properties of the models and priors, and identify prior laws that support such reverse analysis, for both standard and stratified designs.
date: 2014-03
official_url: http://dx.doi.org/10.1093/biomet/ast050
vfaculties: VMPS
oa_status: green
full_text_type: pub
primo: open
primo_central: open_green
verified: verified_manual
elements_source: arXiv
elements_id: 411609
doi: 10.1093/biomet/ast050
lyricists_name: Byrne, Simon
lyricists_id: SBYRN39
full_text_status: public
publication: Biometrika (2014) 101 (1), pages 189-204
volume: 101
number: 1
pagerange: 189-204
issn: 0006-3444
citation:        Byrne, SPJ;    Dawid, AP;      (2014)    Retrospective-prospective symmetry in the likelihood and Bayesian analysis of case-control studies.                   Biometrika (2014) 101 (1), pages 189-204 , 101  (1)   pp. 189-204.    10.1093/biomet/ast050 <https://doi.org/10.1093/biomet%2Fast050>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/1348504/1/Biometrika-2014-Byrne-189-204.pdf