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Design-Based Multi-Way Clustering

Luther Yap

arXiv 4 Sep 2023 · Econometrics · 1 citations (OpenAlex)

arXiv:2309.01658 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper extends the design-based framework to settings with multi-way cluster dependence, and shows how multi-way clustering can be justified when clustered assignment and clustered sampling occurs on different dimensions, or when either sampling or assignment is multi-way clustered. Unlike one-way clustering, the plug-in variance estimator in multi-way clustering is no longer conservative, so valid inference either requires an assumption on the correlation of treatment effects or a more conservative variance estimator. Simulations suggest that the plug-in variance estimator is usually robust, and the conservative variance estimator is often too conservative.

Citation extraction

13
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27
in-text mentions
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distinct cited
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main-text words

appendix boundary found by appendix_command · 51% 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
1Yap, L (2023) General Conditions for Valid Inference in Multi-Way Clustering self0.8435360%
2Abadie, A., S. Athey, G. W. Imbens, and J. M. Wooldridge (2023) When should you adjust standard errors for clustering?0.81142100%
3Davezies, L., X. D'Haultfoeuille, and Y. Guyonvarch (2018) Asymptotic results under multiway clustering0.73732100%
4Cameron, A. C., J. B. Gelbach, and D. L. Miller (2011) Robust inference with multiway clustering0.64422100%
5Gruber, J. and B. C. Madrian (1995) Health Insurance Availability and the Retirement Decision0.64422100%
6Hersch, J (1998) Compensating differentials for gender-specific job injury risks0.64422100%
7Liang, K.-Y. and S. L. Zeger (1986) Longitudinal data analysis using generalized linear models0.64422100%
8Nunn, N. and L. Wantchekon (2011) The slave trade and the origins of mistrust in Africa0.64422100%
9Abadie, A., S. Athey, G. W. Imbens, and J. M. Wooldridge (2020) Sampling-Based versus Design-Based Uncertainty in Regression Analysis0.40511100%
10Eicker, F (1967) Limit theorems for regressions with unequal and dependent errors, in0.40511100%

Showing the top 10 of 13 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
1Asymptotic Theory for Two-Way Clustering0.40511