Estimation of mean response via effective balancing score

Biometrika
Zonghui HuNaisyin Wang

Abstract

We introduce effective balancing scores for estimation of the mean response under a missing at random mechanism. Unlike conventional balancing scores, the effective balancing scores are constructed via dimension reduction free of model specification. Three types of effective balancing scores are introduced: those that carry the covariate information about the missingness, the response, or both. They lead to consistent estimation with little or no loss in efficiency. Compared to existing estimators, the effective balancing score based estimator relieves the burden of model specification and is the most robust. It is a near-automatic procedure which is most appealing when high dimensional covariates are involved. We investigate both the asymptotic and the numerical properties, and demonstrate the proposed method in a study on Human Immunodeficiency Virus disease.

References

Dec 21, 1995·Brain Research. Developmental Brain Research·S KobayashiT Shirao
Jun 3, 2008·Statistical Science : a Review Journal of the Institute of Mathematical Statistics·Anastasios A Tsiatis, Marie Davidian
Jan 1, 2012·Journal of the American Statistical Association·Yanyuan Ma, Liping Zhu

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Citations

Jun 29, 2021·Statistics in Medicine·Zonghui Hu

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