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On the Standard Error of the Modified Biserial Correlation

Published online by Cambridge University Press:  01 January 2025

Raymond F. Koopman
Raymond F. Koopman*
Affiliation:
Simon Fraser University
*
Reprint requests should be sent to R. F. Koopman, Psychology Dept., Simon Fraser University, Burnaby, B.C., Canada, V5A 1S6.
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Abstract

A paradoxical implication of Kraemer's expression for the large-sample standard error of Brogden's form of the biserial correlation is identified, and a new expression is given which does not imply the paradox. However, numerical evidence is presented which calls into question the correctness of the expression.

Keywords

biserial correlationstandard error
Type
Notes And Comments
Information
Psychometrika , Volume 48 , Issue 4 , December 1983 , pp. 639 - 641
Copyright
Copyright © 1983 The Psychometric Society

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References

Kramer, H. C. Modified biserial correlation coefficients. Psychometrika, 1981, 46, 275–282.CrossRefGoogle Scholar
Lord, F. M. Biserial estimates of correlation. Psychometrika, 1963, 28, 81–85.CrossRefGoogle Scholar
Tate, R. F. Applications of correlation models for biserial data. Journal of the American Statistical Association, 1955, 50, 1078–1095.CrossRefGoogle Scholar