Itemwise conditionally independent nonresponse modelling for incomplete multivariate data

• 成果类型: Article
• 署名作者: Sadinle, Mauricio; Reiter, Jerome P.
• 署名单位: Duke University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asw063
• 发表日期: 2017
• 页码: 207220
• 关键词: nonignorable nonresponse; Missing Data; panel-data; slovenian plebiscite; sensitivity-analysis; contingency-tables; attrition; inference

摘要

We introduce a nonresponse mechanism for multivariate missing data in which each study variable and its nonresponse indicator are conditionally independent given the remaining variables and their nonresponse indicators. This is a nonignorable missingness mechanism, in that nonresponse for any item can depend on values of other items that are themselves missing. We show that under this itemwise conditionally independent nonresponse assumption, one can define and identify nonparametric saturated classes of joint multivariate models for the study variables and their missingness indicators. We also show how to perform sensitivity analysis with respect to violations of the conditional independence assumptions encoded by this missingness mechanism. We illustrate the proposed modelling approach with data analyses.