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Estimators and confidence intervals for the marginal odds ratio using logistic regression and propensity score stratification

Propensity score methods are widely used to estimate treatment or exposure effects in observational studies. In studies with binary response the effect can be described as an odds ratio, and the Mantel–Haenszel estimator is traditionally used for stratified data. Although propensity score methods are designed for marginal treatment effects, it has been shown that the Mantel–Haenszel estimator stratified for propensity score is a questionable estimator for the marginal odds ratio, which describes the change in odds of response if everybody versus nobody were treated.