Identifiability of causal effects on a binary outcome within principal strata

Wei Yan; Peng Ding; Zhi Geng; Xiaohua Zhou

doi:10.1007/s11464-011-0127-8

Front. Math. China ›› 2011, Vol. 6 ›› Issue (6) : 1249 -1263. DOI: 10.1007/s11464-011-0127-8

Research Article

RESEARCH ARTICLE

Identifiability of causal effects on a binary outcome within principal strata

Wei Yan ¹
, Peng Ding ¹
, Zhi Geng ¹^,^c
, Xiaohua Zhou ²^,³^,⁴

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Abstract

Principal strata are defined by the potential values of a post-treatment 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.

Keywords

Causal inference / identifiability / principal effect / multi-component intervention

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Wei Yan, Peng Ding, Zhi Geng, Xiaohua Zhou. Identifiability of causal effects on a binary outcome within principal strata. Front. Math. China, 2011, 6(6): 1249-1263 DOI:10.1007/s11464-011-0127-8

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