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Psychometrika

, Volume 38, Issue 3, pp 375–378 | Cite as

On the relationship between ratio of number of variables to number of factors and factorial determinacy

  • Edward P. Meyer
Article

Abstract

It is shown that an important distinction can be made between determinacy of common-factors and determinacy of unique-factors and that determinacy can be used as a criterion to establish a lower bound for the ratio of number of variables to number of factors necessary if specified levels of common- and unique-factor determinacy are to be attained.

Keywords

Public Policy Statistical Theory Factorial Determinacy Important Distinction 
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. Guttman, L. The determinacy of factor score matrices, with implications for five other basic problems of common-factor theory.British Journal of Statistical Psychology, 1955,8, 65–81.Google Scholar
  2. Guttman, L. “Best possible” systematic estimates of communalities.Psychometrika, 1956,21, 273–285.Google Scholar
  3. Heermann, E. F. The geometry of factorial indeterminacy.Psychometrika, 1964,29, 371–381.Google Scholar
  4. Heermann, E. F. The algebra of factorial indeterminacy.Psychometrika, 1966,31, 539–543.Google Scholar
  5. Meyer, E. P. Some results concerning choice of uniqueness estimates, number of factors, and determinacy of factor score matrices. Unpublished doctoral dissertation, Univ. Wisconsin, 1969.Google Scholar
  6. Schönemann, P. H. The minimum average correlation between equivalent sets of uncorrelated factors.Psychometrika, 1971,36, 21–30.Google Scholar
  7. Schönemann, P. H., and Wang, Ming-Mei. Some new results on factor indeterminacy.Psychometrika, 1972,37, 61–91.Google Scholar

Copyright information

© Psychometric Society 1973

Authors and Affiliations

  • Edward P. Meyer
    • 1
    • 2
  1. 1.University of ChicagoUSA
  2. 2.Illinois Drug Abuse ProgramUSA

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