Cluster-robust jackknife and bootstrap inference for logistic regression models

Fuente: arXiv
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Autores principales: MacKinnon, James G., Nielsen, Morten Ørregaard, Webb, Matthew D.
Formato: Preprint
Publicado: 2024
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author MacKinnon, James G.
Nielsen, Morten Ørregaard
Webb, Matthew D.
author_facet MacKinnon, James G.
Nielsen, Morten Ørregaard
Webb, Matthew D.
contents We study cluster-robust inference for logistic regression (logit) models. Inference based on the most commonly-used cluster-robust variance matrix estimator (CRVE) can be very unreliable. We study several alternatives. Conceptually the simplest of these, but also the most computationally demanding, involves jackknifing at the cluster level. We also propose a linearized version of the cluster-jackknife variance matrix estimator as well as linearized versions of the wild cluster bootstrap. The linearizations are based on empirical scores and are computationally efficient. Our results can readily be generalized to other binary response models. We also discuss a new Stata software package called logitjack which implements these procedures. Simulation results strongly favor the new methods, and two empirical examples suggest that it can be important to use them in practice.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00650
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Cluster-robust jackknife and bootstrap inference for logistic regression models
MacKinnon, James G.
Nielsen, Morten Ørregaard
Webb, Matthew D.
Econometrics
We study cluster-robust inference for logistic regression (logit) models. Inference based on the most commonly-used cluster-robust variance matrix estimator (CRVE) can be very unreliable. We study several alternatives. Conceptually the simplest of these, but also the most computationally demanding, involves jackknifing at the cluster level. We also propose a linearized version of the cluster-jackknife variance matrix estimator as well as linearized versions of the wild cluster bootstrap. The linearizations are based on empirical scores and are computationally efficient. Our results can readily be generalized to other binary response models. We also discuss a new Stata software package called logitjack which implements these procedures. Simulation results strongly favor the new methods, and two empirical examples suggest that it can be important to use them in practice.
title Cluster-robust jackknife and bootstrap inference for logistic regression models
topic Econometrics
url https://arxiv.org/abs/2406.00650