On the optimality of the simultaneous redundancy transformations

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12 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)77-86
Number of pages10
Issue number1
StatePublished - Mar 1982
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Psychology(all)
  • Applied Mathematics


  • Canonical correlation analysis
  • index of redundancy
  • principal components
  • redundancy transformations


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