Abstract

Abstract The distribution of Goodman and Kruskal's G in 2 × 2 tables is examined for small and moderate sample sizes. A number of exact distributions are presented, and asymptotic results relevant to the speed of convergence of G to normality are given. Comparisons are made with the standard correlation coefficient r, It is concluded that the distribution of G converges to normality slowly in many cases and that its density function is irregular even for sample sizes as large as 50.

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