, Volume 48, Issue 2, pp 299–302 | Cite as

The effect of affine transformation on redundancy analysis

  • Beth K. Dawson-Saunders
  • Maurice M. Tatsuoka
Notes And Comments


Canonical redundancy analysis provides an estimate of the amount of shared variance between two sets of variables and provides an alternative to canonical correlation. The proof that the total redundancy is equal to the average squared multiple correlation coefficient obtained by regressing each variable in the criterion set on all variables in the predictor set is generalized to the case in which there are a larger number of criterion than predictor variables. It is then shown that the redundancy for the criterion set of variables is invariant under affine transformation of the predictor variables, but not invariant under transformation of the criterion variables.

Key word

canonical correlation 


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Copyright information

© The Psychometric society 1983

Authors and Affiliations

  • Beth K. Dawson-Saunders
    • 1
  • Maurice M. Tatsuoka
    • 2
  1. 1.Department of Medical HumanitiesSouthern Illinois University School of MedicineSpringfield
  2. 2.University of Illinois at Urbana-ChampaignUSA

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