EconBase
← All papers

Leverage, Influence, and the Jackknife in Clustered Regression Models: Reliable Inference Using summclust

James G. MacKinnon, Morten Ørregaard Nielsen, Matthew D. Webb

arXiv 6 May 2022 · Econometrics · publishedThe Stata Journal Promoting communications on statistics and Stata (2023) · 24 citations (OpenAlex)

arXiv:2205.03288 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We introduce a new Stata package called summclust that summarizes the cluster structure of the dataset for linear regression models with clustered disturbances. The key unit of observation for such a model is the cluster. We therefore propose cluster-level measures of leverage, partial leverage, and influence and show how to compute them quickly in most cases. The measures of leverage and partial leverage can be used as diagnostic tools to identify datasets and regression designs in which cluster-robust inference is likely to be challenging. The measures of influence can provide valuable information about how the results depend on the data in the various clusters. We also show how to calculate two jackknife variance matrix estimators efficiently as a byproduct of our other computations. These estimators, which are already available in Stata, are generally more conservative than conventional variance matrix estimators. The summclust package computes all the quantities that we discuss.

Citation extraction

34
references
74
in-text mentions
34
distinct cited
5
self-citations
19,266
main-text words

appendix boundary found by none_found · 100% 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
1Mac\-Kinnon, J. G., M. . Nielsen, and M. D. Webb (2023) Fast jackknife and bootstrap methods for cluster-robust inference self1.000115100%
2Mac\-Kinnon, J. G., M. . Nielsen, and M. D. Webb (2023) Cluster-robust inference: A guide to empirical practice self1.00054100%
3Belsley, D. A., E. Kuh, and R. E. Welsch (1980) Regression Diagnostics0.92843100%
4Djogbenou, A. A., J. G. Mac\-Kinnon, and M. . Nielsen (2019) Asymptotic theory and wild bootstrap inference with clustered errors0.84333100%
5Mac\-Kinnon, J. G. and M. D. Webb (2018) The wild bootstrap for few (treated) clusters0.84333100%
6Chatterjee, S. and A. S. Hadi (1986) Influential observations, high-leverage points, and outliers in linear regression0.73732100%
7Mac\-Kinnon, J. G. and H. White (1985) Some heteroskedasticity consistent covariance matrix estimators with improved finite sample properties0.64441100%
8Cameron, A. C., J. B. Gelbach, and D. L. Miller (2008) Bootstrap-based improvements for inference with clustered errors0.64422100%
9Cook, R. D. and S. Weisberg (1980) Characterizations of an empirical influence function for detecting influential cases in regression0.64422100%
10Hansen, B. E (2022) Jackknife standard errors for clustered regression0.64422100%

Showing the top 10 of 34 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
1Cluster-Robust Inference: A Guide to Empirical Practice1.00074
2Influence Analysis with Panel Data1.00064
3Cluster-Robust Jackknife and Bootstrap Inference for Logistic Regression Models0.92844
4Testing for the appropriate level of clustering in linear regression models0.64422
5Wild Bootstrap Inference for Instrumental Variables Regressions with Weak and Few Clusters0.40511
6Inference in Linear Dyadic Data Models with Network Spillovers0.40511
7Non-Robustness of the Cluster-Robust Inference: with a Proposal of a New Robust Method0.40511
8Inference in clustered IV models with many and weak instruments0.40511
9Inference with few treated units0.40511
10Improved Inference for CSDID Using the Cluster Jackknife0.40511