Open Access
May 2018 Bayesian Approaches for Missing Not at Random Outcome Data: The Role of Identifying Restrictions
Antonio R. Linero, Michael J. Daniels
Statist. Sci. 33(2): 198-213 (May 2018). DOI: 10.1214/17-STS630


Missing data is almost always present in real datasets, and introduces several statistical issues. One fundamental issue is that, in the absence of strong uncheckable assumptions, effects of interest are typically not nonparametrically identified. In this article, we review the generic approach of the use of identifying restrictions from a likelihood-based perspective, and provide points of contact for several recently proposed methods. An emphasis of this review is on restrictions for nonmonotone missingness, a subject that has been treated sparingly in the literature. We also present a general, fully Bayesian, approach which is widely applicable and capable of handling a variety of identifying restrictions in a uniform manner.


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Antonio R. Linero. Michael J. Daniels. "Bayesian Approaches for Missing Not at Random Outcome Data: The Role of Identifying Restrictions." Statist. Sci. 33 (2) 198 - 213, May 2018.


Published: May 2018
First available in Project Euclid: 3 May 2018

zbMATH: 1397.62223
MathSciNet: MR3797710
Digital Object Identifier: 10.1214/17-STS630

Keywords: missing data , Mixture models , MNAR , multiple imputation , nonignorable missingness , nonparametric Bayes

Rights: Copyright © 2018 Institute of Mathematical Statistics

Vol.33 • No. 2 • May 2018
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