Abstract: | Stuart's (1953) measure of association in contingency tables, tC, based on Kendall's (1962) t, is compared with Goodman and Kruskal's (1954, 1959, 1963, 1972) measure G. First, it is proved that |G| ≥ |tC|; and then it is shown that the upper bound for the asymptotic variance of G is not necessarily always smaller than the upper bound for the asymptotic variance of tC. It is proved, however, that the upper bound for the coefficient of variation of G cannot be larger in absolute value than the upper bound for the coefficient of variation of tC. The asymptotic variance of tC is also derived and hence we obtain an upper bound for this asymptotic variance which is sharper than Stuart's (1953) upper bound. |