Statistics – Methodology
Scientific paper
2012-02-13
Statistics
Methodology
13 pages
Scientific paper
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.
Byrne Simon P. J.
Dawid Philip A.
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