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Multiway Cluster Robust Double/Debiased Machine Learning

Harold D. Chiang, Kengo Kato, Yukun Ma, Yuya Sasaki

arXiv 8 Sep 2019 · Econometrics · publishedJournal of Business and Economic Statistics (2021) · 64 citations (OpenAlex)

arXiv:1909.03489 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper investigates double/debiased machine learning (DML) under multiway clustered sampling environments. We propose a novel multiway cross fitting algorithm and a multiway DML estimator based on this algorithm. We also develop a multiway cluster robust standard error formula. Simulations indicate that the proposed procedure has favorable finite sample performance. Applying the proposed method to market share data for demand analysis, we obtain larger two-way cluster robust standard errors than non-robust ones.

Citation extraction

33
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distinct cited
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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
1Chernozhukov, V., D. Chetverikov, M. Demirer, E. Duflo, C. Hansen, W… (2018) Double/debiased machine learning for treatment and structural parameters0.94124983%
2Menzel, K (2017) Bootstrap with Clustering in Two or More Dimensions, ArXiv:1703.030430.87462100%
3Davezies, L., X. D'Haultfoeuille, and Y. Guyonvarch (2018) Asymptotic Results under Multiway Clustering, ArXiv:1807.079250.7946550%
4Chiang, H. and Y. Sasaki (2019) Lasso under Multi-way Clustering: Estimation and Post-selection Inference, ArXiv:1905.02107 self0.7374350%
5Berry, S. T (1994) Estimating discrete-choice models of product differentiation0.64422100%
6Lu, Z., X. Shi, and J. Tao (2019) Semi-Nonparametric Estimation of Random Coefficient Logit Model for Aggregate Demand, Working Paper0.64422100%
7Cameron, C. A., J. B. Gelbach, and D. L. Miller (2011) Robust Inference With Multiway Clustering0.58531100%
8Kallenberg, O (2006) Probabilistic symmetries and invariance principles0.5112250%
9Okui, R., D. S. Small, Z. Tan, and J. M. Robins (2012) Doubly robust instrumental variable regression0.51121100%
10Ai, C. and X. Chen (2003) Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions0.40511100%

Showing the top 10 of 33 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
1Double Machine Learning meets Panel Data - Promises, Pitfalls, and Potential Solutions1.00064
2Inference in High-Dimensional Panel Models: Two-Way Dependence and Unobserved Heterogeneity0.92854
3Dyadic Double/Debiased Machine Learning for Analyzing Determinants of Free Trade Agreements0.92095
4Cross-Fitting-Free Debiased Machine Learning with Multiway Dependence0.73743
5Estimation and Inference for Causal Functions with Multiway Clustered Data0.73733
6An Introduction to Double/Debiased Machine Learning0.64422
7Minimax Risk and Uniform Convergence Rates for Nonparametric Dyadic Regression0.58531
8Double Debiased Machine Learning Nonparametric Inference with Continuous Treatments0.51121
9Estimating Causal Effects with Double Machine Learning - A Method Evaluation0.51122
10Debiased Machine Learning of Set-Identified Linear Models0.40511