, Volume 39, Issue 1, pp 37–51 | Cite as

Functionplane—A new approach to simple structure rotation

  • Jeffrey Owen Katz
  • F. James Rohlf


A new criterion for rotation to an oblique simple structure is proposed. The results obtained are similar to that obtained by Cattell and Muerle's maxplane criterion. Since the proposed criterion is smooth it is possible to locate the local maxima using simple gradient techniques. The results of the application of the Functionplane criterion to three sets of data are given. In each case a better fit to the subjective solution was obtained using the functionplane criterion than was reported for by Hakstian for the oblimax, promax, maxplane, or the Harris-Kaiser methods.


Public Policy Local Maximum Statistical Theory Simple Structure Structure Rotation 
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  1. Cattell, R. B.Handbook of Multivariate Experimental Psychology. Chicago: Rand McNally, 1966.Google Scholar
  2. Cattell, R. B. & Dickman, K. W. A dynamic model of physical influences demonstrating the necessity of oblique simple structure.Psychological Bulletin, 1962,59, 389–400.Google Scholar
  3. Cattell, R. B. & Muerle, J. L. The “Maxplane” program for factor rotation to oblique simple structure.Educational and Psychological Measurement, 1960,20, 269–290.Google Scholar
  4. Eber, H. W. Toward oblique simple structure: Maxplane.Multivariate Behavioral Research, 1966,1, 112–125.Google Scholar
  5. Hakstian, A. R. A comparative evaluation of several prominent methods of oblique factor transformation.Psychometrika, 1971,36, 175–193.Google Scholar
  6. Harman, H. H.Modern Factor Analysis. Chicago: University of Chicago Press, 1960.Google Scholar
  7. Harman, H. H.Modern Factor Analysis. (2nd Ed.) Chicago: University of Chicago Press, 1967.Google Scholar
  8. Rummel, R. J.Applied Factor Analysis, Evanston: Northwestern University Press, 1970.Google Scholar
  9. Sokal, R. R. Thurstone's analytical method for simple structure and a mass modification thereof.Psychometrika, 1958,23, 237–257.Google Scholar
  10. Sokal, R. R. & Rohlf, F. J. The description of taxonomic relationships by factor analysis.Systematic Zoology, 1962,11, 1–16.Google Scholar
  11. Thurstone, L. L.Multiple Factor Analysis. Chicago: University of Chicago Press, 1947.Google Scholar
  12. Warburton, F. W. Analytic methods of factor rotation.British Journal of Statistical Psychology, 1963,16, 165–174.Google Scholar

Copyright information

© Psychometric Society 1974

Authors and Affiliations

  • Jeffrey Owen Katz
    • 1
  • F. James Rohlf
    • 1
  1. 1.State University Of New York At Stony BrookUSA

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