Measures of Association for Cross Classifications, IV: Simplification of Asymptotic Variances

Abstract The asymptotic sampling theory discussed in our 1963 article 3 for measures of association presented in earlier articles 1, 2 turns on the derivation of asymptotic variances that may be complex and tedious in specific cases. In the present article, we simplify and unify these derivations by exploiting the expression of measures of association as ratios. Comments on the use of asymptotic variances, and on a trap in their calculation, are also given.