AAAI Publications, Twenty-Eighth AAAI Conference on Artificial Intelligence

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Recovering from Selection Bias in Causal and Statistical Inference
Elias Bareinboim, Jin Tian, Judea Pearl

Last modified: 2014-06-21


Selection bias is caused by preferential exclusion of units from the samples and represents a major obstacle to valid causal and statistical inferences; it cannot be removed by randomized experiments and can rarely be detected in either experimental or observational studies. In this paper, we provide complete graphical and algorithmic conditions for recovering conditional probabilities from selection biased data. We also provide graphical conditions for recoverability when unbiased data is available over a subset of the variables. Finally, we provide a graphical condition that generalizes the backdoor criterion and serves to recover causal effects when the data is collected under preferential selection.


selection bias; sampling bias; causal inference; causality; statistical inference

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