A Note on Freeman's Measure of Association for Relating an Ordered to an Unordered Factor

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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