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A Still Further Note on Freeman's Measure of Association

Published online by Cambridge University Press:  01 January 2025

Jane L. Buck*
Affiliation:
Delaware State College
Stephen L. Finner
Affiliation:
American Association of University Professors
*
Requests for reprints should be sent to Jane L. Buck, Department of Psychology, Delaware State College, Dover, DE 19901.

Abstract

This article demonstrates that Freeman's theta, a measure of association between a nominal variable and an ordinal variable, has a sampling distribution identical with the sampling distribution of Mann-Whitney's U.

Type
Notes And Comments
Copyright
Copyright © 1985 The Psychometric Society

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References

Agresti, A. (1981). Measures of nominal-ordinal association. Psychometrika, 76, 524529.Google Scholar
Freeman, L. C. (1965). Elementary applied statistics, New York: Wiley.Google Scholar
Freeman, L. C. (1976). A further note on Freeman's measure of association. Psychometrika, 41, 273275.CrossRefGoogle Scholar
Goodman, L. A., Kruskal, W. H. (1954). Measures of association for cross classifications. Journal of the American Statistical Association, 49, 732764.Google Scholar
Goodman, L. A., Kruskal, W. H. (1959). Measures of association for cross classifications II: Further discussion and references. Journal of the American Statistical Association, 54, 123163.CrossRefGoogle Scholar
Goodman, L. A., Kruskal, W. H. (1963). Measures of association for cross classifications III: Approximate sampling theory. Journal of the American Statistical Association, 58, 310364.CrossRefGoogle Scholar
Goodman, L. A., Kruskal, W. H. (1972). Measures of association for cross classifications IV: Simplification of asymptotic variances. Journal of the American Statistical Association, 67, 415421.CrossRefGoogle Scholar
Hubert, L. (1974). A note on Freeman's measure of association for relating an ordered to an unordered factor. Psychometrika, 39, 517519.CrossRefGoogle Scholar
Särndal, C. E. (1974). A comparative study of association measures. Psychometrika, 39, 165187.CrossRefGoogle Scholar
Siegel, S. (1956). Non-parametric statistics, New York: McGraw-Hill.Google Scholar