Conditions for Non-confounding and Collapsibility without Knowledge of Completely Constructed Causal Diagrams
نویسندگان
چکیده
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 eects without knowledge of a completely constructed causal diagram. We ®rst introduce the concepts of non-confounding, conditional non-confounding, uniform non-confounding, homogeneity, collapsibility and strong collapsibility for causal eects, then we present necessary and sucient conditions for uniform non-confounding, homegeneity and collapsibilities, and ®nally we show sucient conditions for non-confounding, conditional nonconfounding and uniform non-confounding.
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