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The index of likeness as a mathematical function of the indices of cohesion for roll call voting
Author(s) -
Casstevens Thomas,
Porterfield Owen
Publication year - 1968
Publication title -
behavioral science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 45
eISSN - 1099-1743
pISSN - 0005-7940
DOI - 10.1002/bs.3830130307
Subject(s) - cohesion (chemistry) , voting , index (typography) , mathematical economics , politics , mathematics , function (biology) , econometrics , epistemology , computer science , political science , philosophy , law , physics , evolutionary biology , biology , quantum mechanics , world wide web
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.