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Testing the Significance of the Successive Components in Redundancy Analysis

Published online by Cambridge University Press:  01 January 2025

Aziz Lazraq  and
Robert Cléroux
Aziz Lazraq
Affiliation:
École Nationale de L'Industrie Minérale, Rabat, Morrocco
Robert Cléroux*
Affiliation:
Department of Mathematics and Statistics, University of Montreal
*
Requests for reprints should be sent to Robert Cléroux, Department de Mathematiques et de Statistique, Universite de Montreal, P.O. Box 6128, Succursale Centre-Ville, Montreal, Quebec, CANADA H3C 3J7. E-Mail: [email protected]
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Abstract

In this paper we study the interrelationships between two sets of data measured on the same subjects via redundancy analysis. We consider redundancy analysis from an inferential point of view. Under the hypothesis of multinormality, tests of significance are obtained for each successive redundancy component so that only the significant factors are retained for prediction purposes. An example illustrates the method.

Keywords

redundancy analysissignificant factorstests of significancecanonical correlationmultivariate linear regression
Type
Articles
Information
Psychometrika , Volume 67 , Issue 3 , September 2002 , pp. 411 - 419
Copyright
Copyright © 2002 The Psychometric Society

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Footnotes

The authors would like to thank the Editor and the referees for their helpful comments. This research has been partly financed by NSERC (Canada).

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