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A Locally Robust Semiparametric Approach to Examiner IV Designs

Lonjezo Sithole

arXiv 29 Apr 2024 · Econometrics

arXiv:2404.19144 · PDF · DOI · OpenAlex · Extracted main text

Abstract

I propose a locally robust semiparametric framework for estimating causal effects using the popular examiner IV design, in the presence of many examiners and possibly many covariates relative to the sample size. The key ingredient of this approach is an orthogonal moment function that is robust to biases and local misspecification from the first step estimation of the examiner IV. I derive the orthogonal moment function and show that it delivers multiple robustness where the outcome model or at least one of the first step components is misspecified but the estimating equation remains valid. The proposed framework not only allows for estimation of the examiner IV in the presence of many examiners and many covariates relative to sample size, using a wide range of nonparametric and machine learning techniques including LASSO, Dantzig, neural networks and random forests, but also delivers root-n consistent estimation of the parameter of interest under mild assumptions.

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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
1Kolesár, Michal (2013) Cowles Foundation Yale University Version 1.4, September 30, 20131.000203100%
2Frandsen, Brigham, Lefgren, Lars, Leslie, Emily (2023) Judging judge fixed effects1.00074100%
3Chernozhukov, Victor, Chetverikov, Denis, Demirer, Mert, Duflo, Esth… (2018) Double/debiased machine learning for treatment and structural parameters0.9416483%
4Chernozhukov, Victor, Newey, Whitney K, Singh, Rahul (2022) Debiased machine learning of global and local parameters using regularized Riesz representers0.9285380%
5Chernozhukov, Victor, Escanciano, Juan Carlos, Ichimura, Hidehiko, N… (2022) Locally robust semiparametric estimation0.88345569%
6Ichimura, Hidehiko, Newey, Whitney K (2022) The influence function of semiparametric estimators0.88316469%
7Chernozhukov, Victor, Newey, Whitney K, Singh, Rahul (2022) Automatic debiased machine learning of causal and structural effects0.8434375%
8Kling, Jeffrey R (2006) Incarceration Length, Employment, and Earnings0.81142100%
9Jochmans, Koen (2023) Many (Weak) Judges in Judge-Leniency Designs0.81142100%
10Newey, Whitney K (1994) The asymptotic variance of semiparametric estimators0.7375260%

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Cited by, within the corpus

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

Citing paperIntensityMentionsSections
1A Sharp Test for the Judge Leniency Design0.40511