Exact Bias Correction for Linear Adjustment of Randomized Controlled Trials

Haoge Chang, Joel A. Middleton and P. M. Aronow

Econometrica, 2024, vol. 92, issue 5, 1503-1519

Abstract: Freedman (2008a,b) showed that the linear regression estimator is 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. We show that the limiting distribution of the bias corrected estimator is identical to the uncorrected estimator. Taken together with results from Lin (2013), our results show that Freedman's theoretical arguments against the use of regression adjustment can be resolved with minor modifications to practice.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:wly:emetrp:v:92:y:2024:i:5:p:1503-1519

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