The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Wild Bootstrap Inference for Wildly Different Cluster Sizes
Abstract
Summary: The cluster robust variance estimator (CRVE) relies on the number of clusters being sufficiently large. Monte Carlo evidence suggests that the ‘rule of 42’ is not true for unbalanced clusters. Rejection frequencies are higher for datasets with 50 clusters proportional to US state populations than with 50 balanced clusters. Using critical values based on the wild cluster bootstrap performs much better. However, this procedure fails when a small number of clusters is treated. We explain why CRVE t statistics and the wild bootstrap fail in this case, study the ‘effective number’ of clusters and simulate placebo laws with dummy variable regressors. Copyright © 2016 John Wiley & Sons, Ltd.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Although asymptotically consistent, CRVE can be biased downward when the number of clusters is small, leading to hypothesis tests with rejection rates that are too high.”
From Small-Sample Methods for Cluster-Robust Variance Estimation and Hypothesis Testing in Fixed Effects Models (2018) · cites this paper as MacKinnon and Webb 2016
In the citing paper
“Like the bias of the CRVE estimator itself, the accuracy of the asymptotic approximations depends on design features such as the degree of imbalance across clusters, skewness or leverage of the covariates, and the similarity of cluster sizes (Tipton and Pustejovsky 2015; McCaffrey, Bell, and Botts 2001; MacKinnon and Webb 2016; Carter, Schnepel, and Steigerwald 2013).”
From Small-Sample Methods for Cluster-Robust Variance Estimation and Hypothesis Testing in Fixed Effects Models (2018) · cites this paper as MacKinnon and Webb 2016
Citations
Cites
How Much Should We Trust Differences-in-Differences Estimates?
Bertrand, M., Duflo, E., & Mullainathan, S. (2004) · The Quarterly Journal of Economics · doi:10.1162/003355304772839588 · Cited by 10,641
Mostly Harmless Econometrics: An Empiricist's Companion
Angrist, J. D., & Pischke, J.-S. (2008) · doi:10.2307/j.ctvcm4j72 · Cited by 5,051
A Practitioner’s Guide to Cluster-Robust Inference
Colin Cameron, A., & Miller, D. L. (2015) · Journal of Human Resources · doi:10.3368/jhr.50.2.317 · Cited by 5,037
Inference with Difference-in-Differences and Other Panel Data
Donald, S. G., & Lang, K. (2007) · Review of Economics and Statistics · doi:10.1162/rest.89.2.221 · Cited by 1,324
Inference with “Difference in Differences” with a Small Number of Policy Changes
Conley, T. G., & Taber, C. R. (2011) · Review of Economics and Statistics · doi:10.1162/rest_a_00049 · Cited by 633
Inference with dependent data using cluster covariance estimators
Bester, C. A., Conley, T. G., & Hansen, C. B. (2011) · Journal of Econometrics · doi:10.1016/j.jeconom.2011.01.007 · Cited by 258
Research works printed but not linked: 15
- 10.1198/jasa.2009.ap08746 · DOI · Paper page
- 10.1162/rest.90.2.191 · DOI · Paper page
- Bell RM, 2002, Bias reduction in standard errors for linear regression with multi‐stage samples, Survey Methodology, 28, 169
- BrewerM CrossleyTF JoyceR.2013.Inference with difference‐in‐differences revisited.Technical Report Institute for Fiscal Studies. · DOI
- 10.1162/rest.90.3.414 · DOI · Paper page
- 10.1162/REST_a_00639 · DOI
- 10.1016/j.jeconom.2008.08.003 · DOI · Paper page
- Davidson R, 2004, Econometric Theory and Methods
- 10.1198/jbes.2009.08046 · DOI · Paper page
- 10.1162/REST_a_00552 · DOI · Paper page
- 10.2307/1911134 · DOI
- 10.1093/biomet/73.1.13 · DOI · Paper page
- 10.1016/0304-4076(85)90158-7 · DOI · Paper page
- 10.2307/2109724 · DOI · Paper page
- White H, 1984, Asymptotic Theory for Econometricians
Cited by
A Practitioner’s Guide to Cluster-Robust Inference
Colin Cameron, A., & Miller, D. L. (2015) · Journal of Human Resources · doi:10.3368/jhr.50.2.317 · Cited by 5,037
Fast and wild: Bootstrap inference in Stata using boottest
Roodman, D., Nielsen, M. Ø., MacKinnon, J. G., & Webb, M. D. (2019) · The Stata Journal: Promoting communications on statistics and Stata · doi:10.1177/1536867x19830877 · Cited by 1,007
Self-citationPustejovsky, J. E., & Tipton, E. (2018) · Journal of Business & Economic Statistics · doi:10.1080/07350015.2016.1247004 · Cited by 492
Cluster-robust inference: A guide to empirical practice
MacKinnon, J. G., Nielsen, M. Ø., & Webb, M. D. (2023) · Journal of Econometrics · doi:10.1016/j.jeconom.2022.04.001 · Cited by 407
Self-citationImplementing the panel event study
Clarke, D., & Tapia-Schythe, K. (2021) · The Stata Journal: Promoting communications on statistics and Stata · doi:10.1177/1536867x211063144 · Cited by 367
Metadata
- Authors
- MacKinnon, J. G., & Webb, M. D.
- Affiliations
- Department of Economics Queen's University Ontario Kingston Canada
- Department of Economics Carleton University Ontario Ottawa Canada
- Venue
- Journal of Applied Econometrics
- Publisher
- Wiley
- Published
- 2016-02-21
- Volume
- 32
- Issue
- 2
- Pages
- 233-254
- ISSN
- 0883-7252
- 1099-1255
- Cited by
- 454
- References
- 6
- Language
- en
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Wild Bootstrap Inference for Wildly Different Cluster Sizes. https://app.cochat.ai/papers/10.1002/jae.2508
- The paper
- MacKinnon, J. G., & Webb, M. D. (2017). Wild Bootstrap Inference for Wildly Different Cluster Sizes. Journal of Applied Econometrics. https://doi.org/10.1002/jae.2508
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.