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Problems with Bootstrapping Pearson Correlations in Very Small Bivariate Samples

Published online by Cambridge University Press:  01 January 2025

Michael Dolker ,
Silas Halperin  and
D. R. Divgi
Michael Dolker*
Affiliation:
Syracuse University
Silas Halperin
Affiliation:
Syracuse University
D. R. Divgi
Affiliation:
Syracuse University
*
Requests for reprints should be sent to Dr. Michael Dolker, Program Evaluation, Hutchings Psychiatric Center, Box 27, University Station, Syracuse, New York 13210.
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Abstract

Efron's Monte Carlo bootstrap algorithm is shown to cause degeneracies in Pearson's r for sufficiently small samples. Two ways of preventing this problem when programming the bootstrap of r are considered.

Keywords

bootstrapcorrelation coefficientMonte Carlo

Information

Type
Notes And Comments
Information
Psychometrika , Volume 47 , Issue 4 , December 1982 , pp. 529 - 530
Copyright
Copyright © 1982 The Psychometric Society

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References

Bickel, P. J. & Freedman, D. A. Some asymptotic theory for the bootstrap. The Annals of Statistics, 1981, 9, 1196–1217.CrossRefGoogle Scholar
Efron, B. Bootstrap methods: another look at the jackknife. The Annals of Statistics, 1979, 7, 1–26.CrossRefGoogle Scholar
Efron, B. Computers and the theory of statistics: thinking the unthinkable. SIAM Review, 1979, 21, 460–480.CrossRefGoogle Scholar
Efron, B. Censored data and the bootstrap. Journal of the American Statistical Association, 1981, 76, 312–319.CrossRefGoogle Scholar
Efron, B. Nonparametric estimates of standard error: the jackknife, the bootstrap and other methods. Biometrica, 1981, 68, 589–599.CrossRefGoogle Scholar
Wahrendorf, J. & Brown, C. C. Bootstrapping a basic inequality in the analysis of joint action of two drugs. Biometrics, 1980, 36, 653–657.CrossRefGoogle ScholarPubMed