Pattern Graphs: a Graphical Approach to Nonmonotone Missing Data
- 2023-07-11 (Tue.), 10:30 AM
- Auditorium, B1F, Institute of Statistical Science;The tea reception will be held at 10:10.
- Online live streaming through Cisco Webex will be available.
- Prof. Yen-Chi Chen
- Department of Statistics, University of Washington
Abstract
We introduce the concept of pattern graphs--directed acyclic graphs representing how response patterns are associated. A pattern graph represents an identifying restriction that is nonparametrically identified/saturated and is often a missing not at random restriction. We introduce a selection model and a pattern mixture model formulation using the pattern graphs and show that they are equivalent. A pattern graph leads to an inverse probability weighting estimator as well as an imputation-based estimator. We also study the semi-parametric efficiency theory and derive a multiply-robust estimator using pattern graphs.
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Update:2023-07-10 16:52