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Comparative Study
. 2017 Feb;26(1):155-175.
doi: 10.1177/0962280214541995. Epub 2016 Sep 30.

A comparison of marginal odds ratio estimators

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Free article
Comparative Study

A comparison of marginal odds ratio estimators

Travis M Loux et al. Stat Methods Med Res. 2017 Feb.
Free article

Abstract

Uses of the propensity score to obtain estimates of causal effect have been investigated thoroughly under assumptions of linearity and additivity of exposure effect. When the outcome variable is binary relationships such as collapsibility, valid for the linear model, do not always hold. This article examines uses of the propensity score when both exposure and outcome are binary variables and the parameter of interest is the marginal odds ratio. We review stratification and matching by the propensity score when calculating the Mantel-Haenszel estimator and show that it is consistent for neither the marginal nor conditional odds ratio. We also investigate a marginal odds ratio estimator based on doubly robust estimators and summarize its performance relative to other recently proposed estimators under various conditions, including low exposure prevalence and model misspecification. Finally, we apply all estimators to a case study estimating the effect of Medicare plan type on the quality of care received by African-American breast cancer patients.

Keywords: causal inference; confounding; counter-factual inference; doubly robust estimator; inverse probability of treatment weighting; propensity score; stratification.

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