Analyzing Measures of Association Derived From Contingency Tables

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Abstract
This paper describes a technique for the rigorous analysis of probabilistic measures of association derived from contingency tables. The technique uses the approach to contingency table analysis first described by Grizzle, Starmer, and Koch and extended by Forthofer and Koch. This approach permits the user to obtain estimates of gamma, Yule's Q, Kendall's taub and tauc, Somer's D, and Goodman and Kruskal's taus, plus estimates of the variances and covariances of those measures of association. With the variance-covariance estimates, the user can examine a wide range of hypotheses for statistical significance.