Psychometrika

, Volume 22, Issue 1, pp 53–61 | Cite as

The development of hierarchical factor solutions

  • John Schmid
  • John M. Leiman
Article

Abstract

Although simple structure has proved to be a valuable principle for rotation of axes in factor analysis, an oblique factor solution often tends to confound the resulting interpretation. A model is presented here which transforms the oblique factor solution so as to preserve simple structure and, in addition, to provide orthogonal reference axes. Furthermore, this model makes explicit the hierarchical ordering of factors above the first-order domain.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Burt, C. Alternative methods of factor analysis.Brit. J. Psychol. (Statist. Sec.), 1949,2, 98–121.Google Scholar
  2. [2]
    Burt, C. Subdivided factors.Brit. J. Psychol. (Statist. Sec.), 1949,2, 41–63.Google Scholar
  3. [3]
    Burt, C. Group factor analysis.Brit. J. Psychol. (Statist. Sec.), 1950,3, 40–75.Google Scholar
  4. [4]
    Guttman, L. General theory and methods for matric factoring.Psychometrika, 1944,9, 1–16.Google Scholar
  5. [5]
    Harris, C. W. and Knoell, D. M. The oblique solution in factor analysis.J. educ. Psychol., 1948, 385–403.Google Scholar
  6. [6]
    Holzinger, K. J. A simple method of factor analysis.Psychometrika, 1944,9, 257–261.Google Scholar
  7. [7]
    Holzinger, K. J. and Harman, H. H. Factor analysis. Chicago: Univ. Chicago Press, 1951.Google Scholar
  8. [8]
    Thomson, G. H. The factorial analysis of human ability. New York: Houghton Mifflin, 1948.Google Scholar
  9. [9]
    Thurstone, L. L. Multiple-factor analysis. Chicago: Univ. Chicago Press, 1947.Google Scholar
  10. [10]
    Tucker, L. R. The role of correlated factors in factor analysis.Psychometrika, 1940,5, 141–152.Google Scholar
  11. [11]
    Vernon, P. The structure of human abilities. New York: Wiley, 1950.Google Scholar

Copyright information

© Psychometric Society 1957

Authors and Affiliations

  • John Schmid
    • 1
  • John M. Leiman
    • 1
  1. 1.Air Force Personnel and Training Research CenterUSA

Personalised recommendations