Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-02-10T11:31:00.411Z Has data issue: false hasContentIssue false
  • English
  • Français

Factor Analysis of Dichotomized Variables

Published online by Cambridge University Press:  01 January 2025

Anders Christoffersson
Anders Christoffersson*
Affiliation:
University of Uppsala, Uppsala, Sweden
Get access Rights & Permissions [Opens in a new window]

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.

Type
Original Paper
Information
Psychometrika , Volume 40 , Issue 1 , March 1975 , pp. 5 - 32
Copyright
Copyright © 1975 Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

This work is supported by The Bank of Sweden Tercentenary Fund

References

Anderson, T. W. & Rubin, M.. Statistical inference in factor analysis. In Neyman, J. (Eds.), Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability. Berkeley: University of California. 1956, 111–150.Google Scholar
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.CrossRefGoogle Scholar
Bock, R. D. & Lieberman, M.. Fitting a response model for n dichotomously scored items. Psychometrika, 1970, 35, 179–197.CrossRefGoogle Scholar
Comber, L. C. & Keeves, P.. Science education in nineteen countries, 1973, Stockholm: Almqvist & Wiksell.Google Scholar
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
Jöreskog, K. G.. A general method for analysis of covariance structures. Biometrika, 1970, 57, 239–251.CrossRefGoogle Scholar
Kendall, M. G.. Relations connected with the tetrachoric series and its generalization. Biometrika, 1941, 32, 196–198.Google Scholar
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.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
Lord, F. M. & Novick, M. R.. Statistical theories of mental test scores, 1968, Reading, Mass.: Addison-Wesley.Google Scholar