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Citation

Keil, Alexander P.; Mooney, Stephen J.; Jonsson Funk, Michele L.; Cole, Stephen R.; Edwards, Jesse K.; & Westreich, Daniel (2018). Resolving an Apparent Paradox in Doubly Robust Estimators. American Journal of Epidemiology, 187(4), 891-892. PMCID: PMC5889031

Abstract

Doubly robust estimators are an approach used for estimating causal effects, usually based on fitting 2 statistical models (1). As the initial motivating example, Scharfstein et al. defined a robust estimator of the causal effect of some exposure X on outcomeY using models for both X andY; they demonstrated that such an estimator is consistent if “at least one of the [fitted] models… is correct” (2, p. 1142). Such estimators were later termed “doubly robust” (3, p. 6). Here, we demonstrate that using common (but incorrect) intuition about what makes a model “correct” or “incorrect” can turn doubly robust estimators into estimators that are inconsistent if at least one of the fitted models is wrong. We introduce and resolve this double-robust paradox, demonstrating what must be meant by “correct model.”

URL

http://dx.doi.org/10.1093/aje/kwx385

Reference Type

Journal Article

Year Published

2018

Journal Title

American Journal of Epidemiology

Author(s)

Keil, Alexander P.
Mooney, Stephen J.
Jonsson Funk, Michele L.
Cole, Stephen R.
Edwards, Jesse K.
Westreich, Daniel

Article Type

Research Letter

PMCID

PMC5889031

ORCiD

Edwards, J -0000-0002-1741-335X