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Conditions for Non‐confounding and Collapsibility without Knowledge of Completely Constructed Causal Diagrams
Author(s) -
GENG ZHI,
LI GUANGWEI
Publication year - 2002
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/1467-9469.00087
Subject(s) - confounding , homogeneity (statistics) , causal inference , mathematics , statistics , econometrics , causal model , inference , computer science , artificial intelligence
In this paper, we discuss several concepts in causal inference in terms of causal diagrams proposed by Pearl (1993, 1995a, b), and we give conditions for non‐confounding, homogeneity and collapsibility for causal effects without knowledge of a completely constructed causal diagram. We first introduce the concepts of non‐confounding, conditional non‐confounding, uniform non‐confounding, homogeneity, collapsibility and strong collapsibility for causal effects, then we present necessary and sufficient conditions for uniform non‐confounding, homegeneity and collapsibilities, and finally we show sufficient conditions for non‐confounding, conditional non‐confounding and uniform non‐confounding.