Arbeitspapier

Asymptotic Theory and Wild Bootstrap Inference with Clustered Errors

We study asymptotic inference based on cluster-robust variance estimators for regression models with clustered errors, focusing on the wild cluster bootstrap and the ordinary wild bootstrap. We state conditions under which both asymptotic and bootstrap tests and confidence intervals will be asymptotically valid. These conditions put limits on the rates at which the cluster sizes can increase as the number of clusters tends to infinity. To include power in the analysis, we allow the data to be generated under sequences of local alternatives. Under a somewhat stronger set of conditions, we also derive formal Edgeworth expansions for the asymptotic and bootstrap test statistics. Simulation experiments illustrate the theoretical results, and the Edgeworth expansions explain the overrejection of the asymptotic test and shed light on the choice of auxiliary distribution for the wild bootstrap.

Language
Englisch

Bibliographic citation
Series: Queen's Economics Department Working Paper ; No. 1399

Classification
Wirtschaft
Statistical Simulation Methods: General
Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions
Single Equation Models; Single Variables: Panel Data Models; Spatio-temporal Models
Subject
Clustered data
cluster-robust variance estimator
CRVE
Edgeworth expansion
inference
wild bootstrap
wild cluster bootstrap

Event
Geistige Schöpfung
(who)
Djogbenou, Antoine A.
MacKinnon, James G.
Nielsen, Morten Ørregard
Event
Veröffentlichung
(who)
Queen's University, Department of Economics
(where)
Kingston (Ontario)
(when)
2018

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Djogbenou, Antoine A.
  • MacKinnon, James G.
  • Nielsen, Morten Ørregard
  • Queen's University, Department of Economics

Time of origin

  • 2018

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