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Correcting Correlation Coefficients for Group Heterogeneity When One Variable is a Dichotomy

Published online by Cambridge University Press:  01 January 2025

Ernest C. Tupes
Ernest C. Tupes*
Affiliation:
Aerospace Medical Division, AFSC
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Abstract

A method is illustrated for estimating correlation coefficients and mean criterion scores in a full-range population from bivariate distributions available in a selected sample when the criterion is a dichotomy. The proposed method requires only the assumptions needed for use of formulas for correcting correlation coefficients for restriction of range when both variables are continuous and is suitable for use when restriction is due to either direct or indirect selection.

Type
Original Paper
Information
Psychometrika , Volume 28 , Issue 1 , March 1963 , pp. 43 - 48
Copyright
Copyright © 1963 The Psychometric Society

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Footnotes

*

The research reported in this paper was sponsored by the 6570th Personnel Research Laboratory, AMD, under AFSC Project 7717.

References

Gillman, L. and Goode, H. H. An estimate of the correlation coefficient of a bivariate normal population whenX is truncated andY is dichotomized. Harvard educ. Rev., 1946, 16, 52–55.Google Scholar
Gulliksen, H. Theory of mental tests, New York: Wiley, 1950.CrossRefGoogle Scholar
Thorndike, R. L. Personnel selection, New York: Wiley, 1949.Google Scholar