Identification of graphical models for nonignorable nonresponse of binary outcomes in longitudinal studies

  • Authors:
  • Wen-Qing Ma;Zhi Geng;Yong-Hua Hu

  • Affiliations:
  • School of Public Health, Peking University, Beijing 100083, China;Department of Probability and Statistics, School of Mathematical Sciences, Peking University, Beijing 100871, China;School of Public Health, Peking University, Beijing 100083, China

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2003

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Abstract

In this paper, we use directed acyclic graphs (DAGs) with temporal structure to describe models of nonignorable nonresponse mechanisms for binary outcomes in longitudinal studies, and we discuss identification of these models under an assumption that the sequence of variables has the first-order Markov dependence, that is, the future variables are independent of the past variables conditional on the present variables. We give a stepwise approach for checking identifiability of DAG models. For an unidentifiable model, we propose adding completely observed variables such that this model becomes identifiable.