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THE SIZE DISTORTION OF BOOTSTRAP TESTS

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Davidson, Russell, MacKinnon, James G.·1999·Econometric Theory

Abstract

We provide a theoretical framework in which to study the accuracy of bootstrap P values, which may be based on a parametric or nonparametric bootstrap. In the parametric case, the accuracy of a bootstrap test will depend on the shape of what we call the critical value function. We show that, in many circumstances, the error in rejection probability of a bootstrap test will be one whole order of magnitude smaller than that of the corresponding asymptotic test. We also propose a simulation method for estimating this error that requires the calculation of only two test statistics per replication.

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Metadata

Authors
Davidson, R., & MacKinnon, J. G.
Venue
Econometric Theory
Published
1999-06
Volume
15
Issue
3
Pages
361-376
ISSN
  • 0266-4666 (ISSN-L)
  • 1469-4360
OpenAlex
W2158933431
Cited by
206
References
0
FWCI
14.68
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: THE SIZE DISTORTION OF BOOTSTRAP TESTS. https://app.cochat.ai/papers/10.1017/s0266466699153040
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Davidson, R., & MacKinnon, J. G. (1999). THE SIZE DISTORTION OF BOOTSTRAP TESTS. Econometric Theory. https://doi.org/10.1017/s0266466699153040

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.