The Optimality of the Centroid Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2003 English Publisher:Cambridge University Press (CUP)Journal:Psychometrika, volume 68, pages 473-475 (issn: 0033-3123, eissn: 1860-0980,

Copyright policy )Funded by:NSERC | unidentified

Authors: Choulakian, Vartan;

doi: 10.1007/bf02294738

The Optimality of the Centroid Method

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Abstract

The aim of this note is to show that the centroid method has two optimality properties. It yields loadings with the highest sum of absolute values, even in absence of the constraint that the squared component weights be equal. In addition, it yields scores with maximum variance, subject to the constraint that none of the squared component weights be larger than 1.

Related Organizations

Université de Moncton
Canada

Keywords

principal component analysis, Factor analysis and principal components; correspondence analysis, Applications of statistics to psychology

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