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

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

RESEARCH ARTICLE

Identifiability of causal effects on a binary outcome within principal strata

Wei YAN¹ ,
Peng DING¹ ,
Zhi GENG¹ ,
Xiaohua ZHOU²^,³^,⁴

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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.

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 Chin, 2011, 6(6): 1249‒1263 https://doi.org/10.1007/s11464-011-0127-8

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