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Ideal Point Discriminant Analysis Revisited with a Special Emphasis on Visualization

Published online by Cambridge University Press:  01 January 2025

Mark de Rooij
Mark de Rooij*
Affiliation:
Leiden University Institute for Psychological Research
*
Requests for reprints should be sent to Mark de Rooij, Methodology and Statistics Unit., Leiden University Institute for Psychological Research, P.O. Box 9555, 2300RB Leiden, The Netherlands. E-mail: rooijm@fsw.leidenuniv.nl
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Abstract

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Ideal point discriminant analysis is a classification tool which uses highly intuitive multidimensional scaling procedures. However, in the last paper, Takane wrote about it. He concludes that the interpretation is rather intricate and calls that a weakness of the model. We summarize the conditions that provide an easy interpretation and show that in maximum dimensionality they can be obtained without any loss. For reduced dimensionality, it is conjectured that loss is minor which is examined using several data sets.

Keywords

classificationEuclidean distance(multinomial) logistic regression
Type
Theory and Methods
Information
Psychometrika , Volume 74 , Issue 2 , June 2009 , pp. 317 - 330
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NC
This article distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
Copyright
Copyright © 2009 The Author(s)

Footnotes

This research was conducted while the author was sponsored by the Netherlands Organisation for Scientific Research (NWO), Innovational Grant, no. 452-06-002.

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