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Psychometrika

, Volume 30, Issue 1, pp 57–71 | Cite as

Linear correlations between sets of variables

  • William W. Rozeboom
Article

Abstract

While the traditional multiple correlation coefficient appears to be inherently an asymmetrical statistic, it is actually a special case of a more general measure of linear relationship between twosets of variables. Another symmetric generalization of linear correlation is to the total relatednesswithin a set of variables. Both of these developments rest upon thegeneralized variance of a multivariate distribution, which is seen to be the fundamental concept of linear correlational theory.

Keywords

Linear Relationship Public Policy Linear Correlation Statistical Theory General Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Anderson, T. W.Introduction to multivariate statistical analysis. New York: Wiley, 1958.Google Scholar
  2. [2]
    Garner, W. R.Uncertainty and structure as psychological concepts. New York: Wiley, 1962.Google Scholar
  3. [3]
    Rozeboom, W. W. The theory of abstract partials: An introduction (unpublished manuscript).Google Scholar
  4. [4]
    Watanabe, S. Information theoretical analysis of multivariate correlation.IBM J. Res. Dev., 1960,4, 66–82.Google Scholar

Copyright information

© Psychometric Society 1965

Authors and Affiliations

  • William W. Rozeboom
    • 1
  1. 1.University of AlbertaCanada

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