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Confounding Equivalence in Causal Inference

Pearl Judea () and Paz Azaria ()
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Pearl Judea: Department of Computer Science, University of California – Los Angeles, Los Angeles, CA 90095-1596 USA
Paz Azaria: Department of Computer Science, Technion IIT, Haifa 3200, Israel

Journal of Causal Inference, 2014, vol. 2, issue 1, 75-93

Abstract: The paper provides a simple test for deciding, from a given causal diagram, whether two sets of variables have the same bias-reducing potential under adjustment. The test requires that one of the following two conditions holds: either (1) both sets are admissible (i.e. satisfy the back-door criterion) or (2) the Markov boundaries surrounding the treatment variable are identical in both sets. We further extend the test to include treatment-dependent covariates by broadening the back-door criterion and establishing equivalence of adjustment under selection bias conditions. Applications to covariate selection and model testing are discussed.

Keywords: confounding; model testing; selection bias; extended back-door; covariate selection (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:causin:v:2:y:2014:i:1:p:19:n:3

DOI: 10.1515/jci-2013-0020

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