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A Note on Freeman's Measure of Association for Relating an Ordered to an Unordered Factor
Published online by Cambridge University Press: 01 January 2025
Abstract
Within the context of a contingency table, this note describes the relationship between Freeman's measure of association θ and the asymmetric association measures developed by Somers. The θ coefficient is appropriate for a contingency table in which the levels of one factor are ordered and the levels of the other factor are unordered; the indices defined by Somers are usually used when the levels of both factors are ordered and one is assumed to be the independent factor.
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- Copyright © 1974 The Psychometric Society
References
Elashoff, J. C. Measures of association between a dichotomous and a continuous variable. Proceedings of the Social Statistics Section, American Statistical Association, 1971, 298–300.Google Scholar
Goodman, L. A. and Kruskal, W. H. Measures of association for cross classifications. Journal of the American Statistical Association, 1954, 49, 732–764.Google Scholar
Goodman, L. A. and Kruskal, W. H. Measures of association for cross classifications II: Further discussion and references. Journal of the American Statistical Association, 1959, 54, 123–163.CrossRefGoogle Scholar
Goodman, L. A. and Kruskal, W. H. Measures of association for cross classifications III: Approximate sampling theory. Journal of the American Statistical Association, 58, 310–364.CrossRefGoogle Scholar
Goodman, L. A. and Kruskal, W. H. Measures of association for cross classifications IV: Simplification of asymptotic variances. Journal of the American Statistical Association, 67, 415–421.CrossRefGoogle Scholar
Harshbarger, T. R. Introductory statistics: A decision map, 1971, New York: Macmillan.Google Scholar
Särndal, C. E. A comparative study of association measures. Psychometrika, 1974, 39, 165–187.CrossRefGoogle Scholar
Somers, R. H. A new asymmetric measure of association for ordinal variables. American Sociological Review, 1962, 27, 799–811.CrossRefGoogle Scholar
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