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An Approach to n-Mode Components Analysis

Published online by Cambridge University Press:  01 January 2025

Arie Kapteyn ,
Heinz Neudecker  and
Tom Wansbeek
Arie Kapteyn
Affiliation:
Tilburg University
Heinz Neudecker
Affiliation:
University of Amsterdam
Tom Wansbeek*
Affiliation:
Groningen University
*
Requests for reprints should be sent to Tom Wansbeek, Econometrics Institute, Groningen University, PO Box 800, 9700 AV Groningen, THE NETHERLANDS.
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Abstract

As an extension of Lastovicka's four-mode components analysis an n-mode components analysis is developed. Using a convenient notation, both a canonical and a least squares solution are derived. The relation between both solutions and their computational aspects are discussed.

Keywords

principal componentsmultidimensional matrices
Type
Original Paper
Information
Psychometrika , Volume 51 , Issue 2 , June 1986 , pp. 269 - 275
Copyright
Copyright © 1986 The Psychometric Society

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Footnotes

The first draft was written while Wansbeek was with the Netherlands Central Bureau of Statistics. We thank Jaap Verhees for performing the computations and for many discussions on the subject, John Lastovicka for kindly making available his data to us, and the Editor, the referees, Jeroen Weesie and Pieter Kroonenberg for their useful comments.

References

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