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A Measure of Interrelationship for Overlapping Groups

Published online by Cambridge University Press:  01 January 2025

Ben J. Winer*
Affiliation:
Purdue University

Abstract

A coefficient of interrelationship between overlapping groups that avoids indeterminacies inherent in the construction of fourfold tables for such purposes and, at the same time, is relatively insensitive to the absolute magnitude of marginal totals of fourfold tables, is developed. Under assumptions that are consistent with the objectives of organizational analysis, this coefficient is shown to be equivalent to a product-moment correlation coefficient. The advantages and limitations of this coefficient are pointed out. A numerical example giving computational procedures is presented.

Type
Original Paper
Copyright
Copyright © 1955 The Psychometric Society

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Footnotes

*

This measure was developed in connection with a study made by Dorothy C. Adkins (1). Her influence in the development was felt in many ways. The article was prepared while the author was employed at The University of North Carolina.

References

Adkins, D. C. The simple structure of the American Psychological Association. Amer. Psychologist, 1954, 9, 175180CrossRefGoogle Scholar
Carroll, J. B. The effect of difficulty and chance success upon correlations between items or between tests. Psychometrika, 1945, 10, 119CrossRefGoogle Scholar
Wherry, R. J. and Gaylord, R. H. Factor pattern of test items and tests as a function of the correlation coefficient: content, difficulty, and constant error factors. Psychometrika, 1944, 9, 237244CrossRefGoogle Scholar
Wherry, R. J. and Winer, B. J. A method for factoring large numbers of test items. Psychometrika, 1953, 18, 161179CrossRefGoogle Scholar