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Forced classification: A simple application of a quantification method
Authors:Shizuhiko Nishisato
Affiliation:(1) the University of Toronto, Canada;(2) Department of Measurement, Evaluation and Computer Applications, the Ontario Institute for Studies in Education, 252 Bloor Street West, M5S 1V6 Toronto, Ontario, Canada
Abstract:This study formulates a property of a quantification method, the principle of equivalent partitioning (PEP). When the PEP is used together with Guttman's principle of internal consistency (PIC) in a simple way, the combination offers an interesting way of analyzing categorical data in terms of the variate(s) chosen by the investigator, a type of canonical analysis. The study discusses applications of the technique to multiple-choice, rank-order, and paired comparison data.This study was supported by the Natural Sciences and Engineering Research Council of Canada (Grant No. A7942). Comments on the earlier drafts from anonymous reviewers and the editor were much appreciated.
Keywords:dual scaling  forced classification  analyses des correspondances  multiple correspondence analysis  discriminant analysis  canonical analysis  projection operator
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