Abstract
Within the context of a contingency table, this note describes the relationship between Freeman's measure of associationθ and the asymmetric association measures developed by Somers. Theθ 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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Hubert, L. A note on Freeman's measure of association for relating an ordered to an unordered factor. Psychometrika 39, 517–520 (1974). https://doi.org/10.1007/BF02291672
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DOI: https://doi.org/10.1007/BF02291672