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Robust and Efficient Estimation of Potential Outcome Means under Random Assignment

Akanksha Negi, Jeffrey M. Wooldridge

arXiv 5 Oct 2020 · Econometrics · publishedJournal of Business and Economic Statistics (2024) · 4 citations (OpenAlex)

arXiv:2010.01800 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We study efficiency improvements in randomized experiments for estimating a vector of potential outcome means using regression adjustment (RA) when there are more than two treatment levels. We show that linear RA which estimates separate slopes for each assignment level is never worse, asymptotically, than using the subsample averages. We also show that separate RA improves over pooled RA except in the obvious case where slope parameters in the linear projections are identical across the different assignment levels. We further characterize the class of nonlinear RA methods that preserve consistency of the potential outcome means despite arbitrary misspecification of the conditional mean functions. Finally, we apply these regression adjustment techniques to efficiently estimate the lower bound mean willingness to pay for an oil spill prevention program in California.

Citation extraction

35
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55
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appendix boundary found by appendix_command · 78% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Lin, W (2013) Agnostic notes on regression adjustments to experimental data: Reexamining Freedman's critique0.73732100%
2Carson, R. T., M. B. Conaway, W. M. Hanemann, J. A. Krosnick, R. C.… (2004) Valuing Oil Spill Prevention0.64422100%
3Freedman, D. A (2008) On regression adjustments to experimental data0.64422100%
4Cohen, P. L. and C. B. Fogarty (2024) No-harm calibration for generalized Oaxaca–Blinder estimators0.58531100%
5Guo, K. and G. Basse (2023) The generalized oaxaca-blinder estimator0.58531100%
6Leon, S., A. A. Tsiatis, and M. Davidian (2003) Semiparametric estimation of treatment effect in a pretest-posttest study0.58531100%
7Zhao, A. and P. Ding (2023) Covariate adjustment in multiarmed, possibly factorial experiments0.58531100%
8Abadie, A., S. Athey, G. W. Imbens, and J. M. Wooldridge (2020) Sampling-Based versus Design-Based Uncertainty in Regression Analysis self0.51121100%
9Cattaneo, M. D (2010) Efficient semiparametric estimation of multi-valued treatment effects under ignorability0.51121100%
10Gail, M. H., S. Wieand, and S. Piantadosi (1984) Biased estimates of treatment effect in randomized experiments with nonlinear regressions and omitted covariates0.51121100%

Showing the top 10 of 35 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Regression Adjustment for Estimating Distributional Treatment Effects in Randomized Controlled Trials0.73732