Exact Bias Correction for Linear Adjustment of Randomized Controlled Trials

• 成果类型: Article
• 署名作者: Chang, Haoge; Middleton, Joel A.; Aronow, P. M.
• 署名单位: Columbia University; Yale University; Yale University; Yale University; Yale University; Yale University
• 刊物名称: ECONOMETRICA
• ISSN/ISSBN: 0012-9682
• DOI: 10.3982/ECTA20289
• 发表日期: 2024
• 页码: 1503-1519
• 关键词: REGRESSION ADJUSTMENTS

摘要

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.