Equivalence of prospective and retrospective models in the Bayesian analysis of case-control studies
病例对照研究贝叶斯分析中前瞻与回顾模型的等价性
The natural likelihood to use for a case‐control study is a ‘retrospective’ likelihood, i.e. a likelihood based on the probability of exposure given disease status. Prentice & Pyke (1979) showed that, when a logistic regression form is assumed for the probability of disease given exposure, the maximum likelihood estimators and asymptotic covariance matrix of the log odds ratios obtained from the retrospective likelihood are the same as those obtained from the ‘prospective’…