Psychometrika

, Volume 40, Issue 1, pp 5–32

Factor analysis of dichotomized variables

  • Anders Christoffersson
Article

Abstract

An approach for multiple factor analysis of dichotomized variables is presented. It is based on the distribution of the first and second order joint probabilities of the binary scored items. The estimator is based on the generalized least squares principle. Standard errors and a test of the fit of the model is given.

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References

  1. Anderson, T. W. & Rubin, M. Statistical inference in factor analysis.Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, J. Neyman (ed.), 1956,vol. V, 111–150. University of California, Berkeley.Google Scholar
  2. Andersson, C. G., Christoffersson, A. & Muthén, B. FADIV. A computer program for factor analysis of dichotomized variables. Research Report 74-1, Uppsala University, Statistics Department, 1974.Google Scholar
  3. Bock, R. D. & Lieberman, M. Fitting a response model for n dichotomously scored items.Psychometrika, 1970,35, 179–197.Google Scholar
  4. Comber, L. C. & Keeves, P.Science education in nineteen countries. Almqvist & Wiksell, Stockholm 1973.Google Scholar
  5. Jöreskog, K. G. UMLFA: A computer program for unrestricted maximum likelihood factor analysis.Educational Testing Service Research Memo RM-66-20, 1967. Princeton, N. J.Google Scholar
  6. Jöreskog, K. G. A general method for analysis of covariance structures.Biometrika, 1970,57, 239–251.Google Scholar
  7. Kendall, M. G. Relations connected with the tetrachoric series and its generalization.Biometrika, 1941,32, 196–198.Google Scholar
  8. Lord, F. M. An analysis of the verbal scholastic aptitude test using Birnbaum's three-parameter logistic model.Educational and Psychological Measurements, 1968,28, 989–1020.Google Scholar
  9. Lord, F. M. Item characteristic curves estimated without knowledge of their mathematical form—A confrontation of Birnbaum's logistic model.Psychometrika, 1970,35, 43–50.Google Scholar
  10. Lord, F. M. & Novick, M. R.Statistical theories of mental test scores. Reading, Mass.: Addison-Wesley, 1968.Google Scholar

Copyright information

© Psychometric Society 1975

Authors and Affiliations

  • Anders Christoffersson
    • 1
  1. 1.University of UppsalaUppsalaSweden

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