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Doubly Robust Uniform Confidence Band for the Conditional Average Treatment Effect Function

Sokbae Lee, Ryo Okui, Yoon-Jae Whang

arXiv 12 Jan 2016 · Statistics — Methodology · publishedJournal of Applied Econometrics (2017) · 65 citations (OpenAlex)

arXiv:1601.02801 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, we propose a doubly robust method to present the heterogeneity of the average treatment effect with respect to observed covariates of interest. We consider a situation where a large number of covariates are needed for identifying the average treatment effect but the covariates of interest for analyzing heterogeneity are of much lower dimension. Our proposed estimator is doubly robust and avoids the curse of dimensionality. We propose a uniform confidence band that is easy to compute, and we illustrate its usefulness via Monte Carlo experiments and an application to the effects of smoking on birth weights.

Citation extraction

51
references
97
in-text mentions
51
distinct cited
3
self-citations
9,807
main-text words

appendix boundary found by appendix_command · 68% 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
1Abrevaya, Hsu, and Lieli (2015) Estimating Conditional Average Treatment Effects1.000123100%
2Piterbarg (1996) Asymptotic Methods in the Theory of Gaussian Processes and Fields0.9285480%
3Ogburn, Rotnitzky, and Robins (2015) Doubly robust estimation of the local average treatment effect curve0.87452100%
4Ruppert, Sheather, and Wand (1995) An effective bandwidth selector for local least squares regression0.8435460%
5Rothe and Firpo (2016) Properties of Doubly Robust Estimators when Nuisance Functions are Estimated Nonparametrically0.58531100%
6van der Laan (2006) Statistical Inference for Variable Importance0.58531100%
7Ghosal, Sen, and van der Vaart (2000) Testing Monotonicity of Regression0.5115220%
8Almond, Chay, and Lee (2005) The Costs of Low Birth Weight self0.51121100%
9Almond and Currie (2011) Human Capital Development before Age Five0.51121100%
10Lee, Linton, and Whang (2009) Testing for Stochastic Monotonicity self0.51121100%

Showing the top 10 of 51 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
11908.087790.969114
2Doubly Robust Uniform Confidence Bands for Group-Time Conditional Average Treatment Effects in Difference-in-Differences0.923143
3Orthogonal Integrated Conditional Moment Tests for Treatment Effect Heterogeneity0.87452
4Estimation of Conditional Average Treatment Effects with High-Dimensional Data0.84333
5Aggregation Trees0.73732
6Nonparametric Tests for Treatment Effect Heterogeneity with Duration Outcomes0.64422
7Uniform Confidence Band for Marginal Treatment Effect Function0.58531
8Specification tests for generalized propensity scores using double projections0.51121
9Testing for Unobserved Heterogeneous Treatment Effects with Observational Data0.40511
10Estimation and Inference for Policy Relevant Treatment Effects0.40511