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Estimation of the Correlation Coefficient in the Case of a Bivariate Normal Population when One of the Variables is Dichotomized

Published online by Cambridge University Press:  01 January 2025

J. S. Maritz
J. S. Maritz*
Affiliation:
South African Council for Scientific and Industrial Research
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Abstract

It is shown that the problem of estimation of the correlation coefficient of a bivariate normal population when one of the variables is dichotomized may be attacked with “probit analysis” methods. This represents an extension of the work of Gillman and Goode (3), as it was possible to find by this approach an approximation to the large-sample variance of the resulting estimate G of ρ. An empirical investigation was undertaken with the object of obtaining some information about the distribution of G for large sample size. Methods for determining the “pass-fail” cut-off are considered.

Type
Original Paper
Information
Psychometrika , Volume 18 , Issue 2 , June 1953 , pp. 97 - 110
Copyright
Copyright © 1953 The Psychometric Society

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Footnotes

*

The author wishes to thank the South African Council for Scientific and Industrial Research for permission to publish this paper. The invaluable assistance of Mr. H. S. Sichel in the preparation of this manuscript is also gratefully acknowledged.

References

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