# Exact Bias Correction for Linear Adjustment of Randomized Controlled Trials

@inproceedings{Chang2021ExactBC, title={Exact Bias Correction for Linear Adjustment of Randomized Controlled Trials}, author={Haoge Chang and Joel A. Middleton and Peter M. Aronow}, year={2021} }

In an influential critique of empirical practice, Freedman [Fre08a, Fre08b] showed that the linear regression estimator was biased for the analysis of randomized controlled trials under the randomization model. Under Freedman’s assumptions, we derive exact closed-form bias corrections for the linear regression estimator with and without treatment-by-covariate interactions. We show that the limiting distribution of the bias corrected estimator is identical to the uncorrected estimator, implying…

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