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Forced Classification: A Simple Application of a Quantification Method

Published online by Cambridge University Press:  01 January 2025

Shizuhiko Nishisato
Shizuhiko Nishisato*
Affiliation:
The Ontario Institute for Studies in Education The University of Toronto
*
Requests for a reprint should be addressed to S. Nishisato, Department of Measurement, Evaluation and Computer Applications, the Ontario Institute for Studies in Education, 252 Bloor Street West, Toronto, Ontario, Canada M5S 1V6.
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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.

Keywords

dual scalingforced classificationanalyses des correspondancesmultiple correspondence analysisdiscriminant analysiscanonical analysisprojection operator
Type
Original Paper
Information
Psychometrika , Volume 49 , Issue 1 , March 1984 , pp. 25 - 36
Copyright
Copyright © 1984 The Psychometric Society

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Footnotes

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.

References

Reference Notes

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