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Legislatures Concepts and Measurement
Cluster Analysis of Roll Calls
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84th Congress agreement approximate assigned average axes axis binary matrix blocs chap Chapter cluster analysis cohesion comparison computed Congress considered coordinates correlation coefficient correlation matrix corresponding criterion cumulative scale cutting lines cutting points data matrix defined Democrats diagonal diagonal matrix diagram dichotomous dimensions distance eigenvalues eigenvector elements entries equation example factions factor analysis factor loadings factor scores factor space Figure foreign aid fourfold table given ideological index of association indices involve issues legislative parties legislative votes MacRae measure methods multiplication orthogonal partisan party unity party votes pattern percent perfect scale polarity political positions principal component analysis principal components problem procedure proportion Q-matrix question relation Republicans residuals roll calls roll-call votes rotation scale scores Senate set of roll shown similar space square matrix standard scores statistical subsets sum of squares tion values of p+ variables vector zero