Regression-adjusted average treatment effect estimators are consistent, asymptotically normal, and asymptotically no less efficient than the unadjusted stratified difference-in-means estimator.
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Regression-adjusted average treatment effect estimates in stratified randomized experiments
Regression-adjusted average treatment effect estimators are consistent, asymptotically normal, and asymptotically no less efficient than the unadjusted stratified difference-in-means estimator.