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Activity Number: 151
Type: Contributed
Date/Time: Monday, July 30, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics in Epidemiology
Abstract - #308541
Title: Semiparametric Efficient Causal Inference with Missing Data
Author(s): Yue Shentu*+ and Minge Xie
Companies: Merck & Co., Inc. and Rutgers University
Address: 10 Landing Lane, New Brunswick, NJ, 08901,
Keywords: Propensity Score ; Observational Study ; Missing at Random ; Semiparametric efficiency bound
Abstract:

A missing data problem is investigated in the context of causal inference. In real-life observational studies, the response of interest may often be missing for a subgroup of subjects, and the missing mechanism may depend on post-baseline outcomes as well as baseline information. Motivated by a semiparametric efficiency bound of consistent treatment effect estimation, we proposed an estimator that incorporates the propensity-weighting and the regression imputations. We show that under mild assumptions, the proposed estimator is n-1/2-consistent and semiparametrically efficient. In addition, we show that the proposed estimator is robust against some of the model mis-specifications. Simulation studies were carried out to compare the proposed estimator with other existing estimators and to demonstrate its desirable properties.


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