, Volume 9, Issue 4, pp 267–283 | Cite as

“Parallel proportional profiles” and other principles for determining the choice of factors by rotation

  • Raymond B. Cattell


The choosing of a set of factors likely to correspond to the real psychological unitary traits in a situation usually reduces to finding a satisfactory rotation in a Thurstone centroid analysis. Seven principles, three of which are new, are described whereby rotation may be determined and/or judged. It is argued that the most fundamental is the principle of “parallel proportional profiles” or “simultaneous simple structure.” A mathematical proof of the uniqueness of determination by this means is attempted and equations are suggested for discovering the unique position.


Public Policy Statistical Theory Simple Structure Unique Position Mathematical Proof 
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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  1. 1.
    Burt, C. The factors of the mind. London: University of London Press, 1940.Google Scholar
  2. 2.
    Cattell, R. B. Temperament tests: I. Temperament.Brit. J. Psychol., 1932,23, 308–329.Google Scholar
  3. 3.
    —— The description of personality: I. Foundations of trait measurement.Psychol. Rev., 1943,50, 559–594.Google Scholar
  4. 4.
    —— The description of personality: II. Basic traits resolved into clusters.J. abn. & soc. Psychol., 1943,38, 476–506.Google Scholar
  5. 5.
    --. The description of personality: III. Principles and findings in a factor analysis of the personality sphere. (Publication to be announced).Google Scholar
  6. 6.
    --. The cultural functions of social stratification: I. Regarding the genetic bases of society.J. soc. Psychol., 1944, 20.Google Scholar
  7. 7.
    --. The operational determination of trait unities and modalities.Brit. J. Psychol., (Publication date to be announced).Google Scholar
  8. 8.
    Garnett, J. C. M. General ability, cleverness and purpose.Brit. J. Psychol., 1919,9, 345–366.Google Scholar
  9. 9.
    Holzinger, K. J., and Harman, H. H. Factor analysis: a synthesis of factorial methods. Chicago: University of Chicago Press, 1935.Google Scholar
  10. 10.
    Hotelling, H. Analysis of a complex of statistical variables into principal components.J. educ. Psychol., 1933,13, 223–298.Google Scholar
  11. 11.
    Kelley, T. L. Essential traits of mental life. Harvard Studies in Education, Vol. 26. Cambridge, Mass.: Harvard University Press, 1935.Google Scholar
  12. 12.
    Reyburn, H. A., and Taylor, J. G. Some factors of intelligence.Brit. J. Psychol., 1941,31, 259–270.Google Scholar
  13. 13.
    —— On the interpretation of common factors: a criticism and a statement.Psychometrika, 1943,8, 53–64.Google Scholar
  14. 14.
    Spearman, C. Abilities of man. London: Macmillan, 1932.Google Scholar
  15. 15.
    Thurstone, L. L. The vectors of mind. Chicago: University of Chicago Press, 1935.Google Scholar

Copyright information

© Psychometric Society 1944

Authors and Affiliations

  • Raymond B. Cattell
    • 1
  1. 1.Duke UniversityUSA

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