Abstract:A measure of association is row-size invariant if it is una¤ected by the mutliplication of all entries in a row of a cross-classi…cation table by a same positive number. It is class-size invariant if it is una¤ected by the mutliplication of all entries in a class (i.e., a row or a column). We prove that every class-size invariant measure of association assigns to each m n cross-classi…cation table a number which depends only on the cross-product ratios of its 2 2 subtables. We propose a monotonicity axiom requ… Show more
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