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Taxicab Correspondence Analysis of Contingency Tables with One Heavyweight Column

Published online by Cambridge University Press:  01 January 2025

V. Choulakian
V. Choulakian*
Affiliation:
Université de Moncton, Moncton, New Brunswick
*
Requests for reprints should be sent to V. Choulakian, Université de Moncton, Moncton, New Brunswick, E1A 3E9, Canada. E-mail: [email protected]
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Abstract

The aim of this paper is to study the analysis of contingency tables with one heavyweight column or one heavyweight entry by taxicab correspondence analysis (TCA). Given that the mathematics of TCA is simpler than the mathematics of correspondence analysis (CA), the influence of one heavyweight column on the outputs of TCA is studied explicitly without recourse to asymptotics as done by Benzécri (Les Cahiers de L’Analyse des Données 4:413–16, 1979). A reweighting of the heavyweight column is proposed, which can also be applied to CA. A real data set is analyzed.

Keywords

correspondence analysistaxicab correspondence analysisheavyweightsupplementary pointforced classification
Type
Theory and Methods
Information
Psychometrika , Volume 73 , Issue 2 , June 2008 , pp. 309 - 319
Copyright
Copyright © 2007 The Psychometric Society

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Footnotes

This research is financed by NSERC of Canada. The author is grateful to the Editor, Professor B. Junker, to an Associate Editor and to three referees for their constructive comments.

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