Nonstandard conditionally specified models for nonignorable missing data

Abstract

We consider data-analysis settings where data are missing not at random. In these cases, the two basic modeling approaches are 1) pattern-mixture models, with separate distributions for missing data and observed data, and 2) selection models, with a distribution for the data preobservation and a missing-data mechanism that selects which data are observed. These two modeling approaches lead to distinct factorizations of the joint distribution of the observed-data and missing-data indicators. In this paper, we explore a third approach, apparently originally proposed by J. W. Tukey as a remark in a discussion between Rubin and Hartigan, and reported by Holland in a two-page note, which has been so far neglected.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 28, 2020
Source ID
10.1073/pnas.1815563117

Entities

People

  • Alexander Franks
  • Donald B. Rubin
  • Edoardo Airoldi

Organizations

  • National Science Foundation
  • Office of Naval Research
  • Temple University
  • Tsinghua University
  • University of California, Santa Barbara

Tags

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Computational Modeling and Simulation
  • Statistical inference.