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Principal Component Analysis of Categorical Data, with Applications to Roll-Call Analysis
Jan de Leeuw, Department of Statistics, UCLA
Jeffrey Lewis, UCLA Department of Political Science
ABSTRACT: So far, many ad hoc techniques have been proposed to compute maxium likelihood estimates for various specific models. Some work well, some don't. Our purpose in this presentation is to present a general approach based on quadratic majorization. This class of algorithms has the desirable property that it computes maximum likelihood estimates by solving a sequence of least squares problems, which are generally much simpler. It also produces an algorithm which is globally convergent.
SUGGESTED CITATION: Jan de Leeuw and Jeffrey Lewis,
"Principal Component Analysis of Categorical Data, with Applications to Roll-Call Analysis"
(January 1, 2006).
Department of Statistics, UCLA.
Department of Statistics Papers.
Paper 2006010101.
http://repositories.cdlib.org/uclastat/papers/2006010101
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