Abstract

Stuart Rice's index of cohesion and index of likeness for roll call voting are perhaps the most established mathematical measures in political science. These indices, quantitatively precise and intuitively plausible, are accepted by nonmathematical as well as mathematical political scientists. Rice himself (and subsequent scholars so far as we are aware) presented and used these measures as if they were independent. The measures, however, are never independent. This note derives four theorems which exactly specify their dependence.

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