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Confounding of Three Binary-Variable Counterfactual Model with DAG

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DOI: 10.4236/am.2013.410189    3,207 Downloads   4,351 Views  

ABSTRACT

Confounding of three binary-variable counterfactual model with directed acyclic graph (DAG) is discussed in this paper. According to the effect between the control variable and the covariate variable, we investigate three causal counterfactual models: the control variable is independent of the covariate variable, the control variable has the effect on the covariate variable and the covariate variable affects the control variable. Using the ancillary information based on conditional independence hypotheses and ignorability, the sufficient conditions to determine whether the covariate variable is an irrelevant factor or whether there is no confounding in each counterfactual model are obtained.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Liu, J. and Hu, S. (2013) Confounding of Three Binary-Variable Counterfactual Model with DAG. Applied Mathematics, 4, 1397-1404. doi: 10.4236/am.2013.410189.

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