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The Value of Knowing the Propensity Score for Estimating Average Treatment Effects

The Value of Knowing the Propensity Score for Estimating Average Treatment Effects

In a treatment effect model with unconfoundedness, treatment assignments are not only independent of potential outcomes given the covariates, but also given the propensity score alone. Despite this powerful dimension reduction property, adjusting for the propensity score is known to lead to an estimator of the average treatment effect with …