Propensity Score

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Abstract
The propensity score is the conditional probability of exposure to treatment rather than control given observed covariates, or more generally, the conditional probability of selection into a group given observed covariates. It is used in an effort to adjust for nonrandom treatment assignment or nonrandom selection. Matching or stratifying on the scalar propensity score tends to balance the many observed covariates used to construct the score. If it suffices to adjust for the observed covariates, then it also suffices to adjust for the propensity score.

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