Byrne, SPJ and Dawid, AP (2012) Retrospective-prospective symmetry for the Bayesian analysis of case-control studies.
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The seminal paper of Prentice & Pyke (1979) established that the maximum likelihood estimator for the odds-ratio of a case-control study is that of a logistic regression. In other words, the incorrect prospective model is equivalent to the correct retrospective model. We identify necessary and sufficient conditions for the corresponding result in a Bayesian analysis, that is, that the posterior distribution for the odds-ratio be the same under both the prospective and retrospective likelihoods. These conditions can be used to derive a parametric family of prior laws that can be used for such an analysis.
|Title:||Retrospective-prospective symmetry for the Bayesian analysis of case-control studies|
|Additional information:||13 pages|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Statistical Science|
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