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Relations among homogeneity,collapsibility and nonconfounding in distribution effects
Authors:Xue-li Wang  Li Gao
Institution:[1]School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China [2]Department of Mathematics, Binzhou University, Shandong 256600, China
Abstract:In this paper, the concept of distribution effect is proposed without the causal diagram. Following the notation of Stone 11], we assume that the exposure treatment X is an unknown deterministic function of the confounder set Pa(X) and a random error ?. We discuss sufficient and necessary conditions for homogeneity, collapsibility and nonconfounding for distribution effects and discuss relations among them.
Keywords:Collapsibility  confounding  homogeneity  distribution effect  
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