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Psychometrika

, Volume 35, Issue 1, pp 79–98 | Cite as

Longitudinal factor analysis

  • M. C. Corballis
  • R. E. Traub
Article

Abstract

A model is presented for factor analysing scores on a set of psychological tests administered as both pre- and postmeasures in a study of change. The model assumes that the same factors underlie the tests on each occasion, but that factor scores as well as factor loadings may change between occasions. Factors are defined to be orthogonal between as well as within occasions. A two-stage least squares procedure for fitting the model is described, and generally provides a unique rotation solution for the factors on each occasion.

Keywords

Factor Loading Factor Score Correlation Matrice Orthogonal Rotation Testing Occasion 
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. Browne, M. W. Fitting the factor analysis model.Psychometrika, 1969,34, 375–394.CrossRefGoogle Scholar
  2. Corballis, M. C. Practice and the simplex.Psychological Review, 1965,72, 399–406.CrossRefPubMedGoogle Scholar
  3. Eckart, C. and Young, G. The approximation of one matrix by another of lower rank.Psychometrika, 1936,1, 211–218.CrossRefGoogle Scholar
  4. Evans, G. T. Factor analytic treatment of growth data.Multivariate behavioral Research, 1967,2, 109–134.CrossRefPubMedGoogle Scholar
  5. Fleishman, E. A. Factor structure in relation to task difficulty in psychomotor performance.Educational and Psychological Measurement, 1957,17, 522–532.Google Scholar
  6. Fleishman, E. A. Abilities at different stages of practice in rotary pursuit performance.Journal of experimental Psychology, 1960,60, 162–171.CrossRefPubMedGoogle Scholar
  7. Fleishman, E. A. Human abilities and the acquisition of skill. In E. A. Bilodeau (Ed.),Acquisition of skill. New York: Academic Press, 1966. Pp. 147–167.Google Scholar
  8. Garrett, H. E. A development theory of intelligence.American Psychologist, 1946,1, 372–378.CrossRefPubMedGoogle Scholar
  9. Harman, H. H. and Jones, W. H. Factor analysis by minimizing residuals (minres).Psychometrika, 1966,31, 351–368.CrossRefPubMedGoogle Scholar
  10. Harris, C. W. Canonical factor models for the description of change. In C. W. Harris (Ed.),Problems in measuring change. Madison, Wis.: Univ. Wis. Press, 1963. Pp. 138–155.Google Scholar
  11. Harris, C. W. Some recent developments in factor analysis.Educational and Psychological Measurement, 1964,24, 193–206.CrossRefGoogle Scholar
  12. Hofstaetter, P. R. The changing composition of intelligence: a study in T-technique.Journal of genetic Psychology, 1954,85, 159–164.CrossRefPubMedGoogle Scholar
  13. Horst, P.Matrix algebra for social scientists. New York: Holt, Rinehart and Winston, 1963.Google Scholar
  14. Hotelling, H. Analysis of a complex of statistical variables into principal components.Journal of educational Psychology, 1933,24, 417–441, 498–520.CrossRefGoogle Scholar
  15. Kaiser, H. F. and Caffrey, J. Alpha factor analysis.Psychometrika, 1965,30, 1–14.CrossRefPubMedGoogle Scholar
  16. Lawley, D. N. The estimation of factor loadings by the method of maximum likelihood.Proceedings of the Royal Society of Edinburgh, Series A, 1940,60, 64–82.CrossRefGoogle Scholar
  17. Lawley, D. N. and Maxwell, A. E. Factor transformation methods.British Journal of statistical Psychology, 1964,17, 97–103.CrossRefGoogle Scholar
  18. Meyer, W. J. and Bendig, A. W. A longitudinal study of the Primary mental Abilities Test.Journal of educational Psychology, 1961,52, 50–60.CrossRefGoogle Scholar
  19. Thurstone, T. G.Manual for the SRA Primary Mental Abilities. Chicago, Ill.: Science Research Associates, 1958.Google Scholar
  20. Tucker, L. R. Implications of factor analysis of three-way matrices for measurement of change. In C. W. Harris (Ed.),Problems in measuring change. Madison, Wis.: Univ. Wis. Press, 1963. Pp. 122–137.Google Scholar

Copyright information

© Psychometric Society 1970

Authors and Affiliations

  • M. C. Corballis
    • 1
  • R. E. Traub
    • 2
  1. 1.Mcgill UniversityUSA
  2. 2.The Ontario Institute for Studies in EducationUSA

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