Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 6: 1249 - 1263

DOI: https://doi.org/10.1007/s11464-011-0127-8

RESEARCH ARTICLE

Identifiability of causal effects on a binary outcome within principal strata

  • Wei YAN 1 ,
  • Peng DING 1 ,
  • Zhi GENG , 1 ,
  • Xiaohua ZHOU 2,3,4
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  • 1. School of Mathematical Sciences, Peking University, Beijing 100871, China
  • 2. Beijing International Center for Mathematical Research, Peking University, Beijing 100871, China
  • 3. Department of Biostatistics, University of Washington, Seattle, WA 98195, USA
  • 4. Biostatistics Unit, HSR&D Center of Excellence, VA Puget Sound Health Care System, Seattle, WA 98101, USA

Received date: 04 Nov 2010

Accepted date: 07 Mar 2011

Published date: 01 Dec 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Principal strata are defined by the potential values of a posttreatment variable, and a principal effect is a causal effect within a principal stratum. Identifying the principal effect within every principal stratum is quite challenging. In this paper, we propose an approach for identifying principal effects on a binary outcome via a pre-treatment covariate. We prove the identifiability with single post-treatment intervention under the monotonicity assumption. Furthermore, we discuss the local identifiability with multicomponent intervention. Simulations are performed to evaluate our approach. We also apply it to a real data set from the Improving Mood-Promoting Access to Collaborate Treatment program.

Key words： Causal inference; identifiability; principal effect; multi-component intervention

Cite this article

Wei YAN , Peng DING , Zhi GENG , Xiaohua ZHOU . Identifiability of causal effects on a binary outcome within principal strata[J]. Frontiers of Mathematics in China, 2011 , 6(6) : 1249 -1263 . DOI: 10.1007/s11464-011-0127-8

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