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On the Optimality of the Simultaneous Redundancy Transformations

Published online by Cambridge University Press:  01 January 2025

David E. Tyler
David E. Tyler*
Affiliation:
Old Dominion University
*
Requests for reprints should be sent to David E. Tyler, Department of Mathematical Sciences, Old Dominion University, Norfolk, Virginia 23508.
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Abstract

The objective of this paper is to introduce and motivate additional properties and interpretations for the redundancy variables. It is shown that these variables can be derived by application of certain invariance arguments and without reference to the index of redundancy. In addition, an optimality property for the variables is presented which is important whenever one restricts attention in a study to a subset of the redundancy variables. This optimality property pertains to the subset rather than to the individual variables.

Keywords

Canonical correlation analysisindex of redundancyprincipal componentsredundancy transformations
Type
Original Paper
Information
Psychometrika , Volume 47 , Issue 1 , March 1982 , pp. 77 - 86
Copyright
Copyright © 1982 The Psychometric Society

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Footnotes

This paper is based in part on the author’s doctoral dissertation, Department of Statistics, Princeton, University. Research was conducted under the supervision of Lawrence S. Mayer.

References

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