A Note on the Derivation of the General Latent Class Model | Psychometrika | Cambridge Core (original) (raw)

Abstract

A general formulation of the latent structure principle is suggested, from which it is possible to derive Lazarsfeld’s accounting equations in their most general form. The basic equations of Gibson’s latent profile model can thence be derived in a single step.

References

Gibson, W. A. Three multivariate models: factor analysis, latent structure analysis, and latent profile analysis. Psychometrika, 1959, 24, 229–252.CrossRefGoogle Scholar

Green, B. F. Latent structure analysis and its relation to factor analysis. J. Amer. statist. Ass., 1952, 47, 71–76.CrossRefGoogle Scholar

Kendall, M. G. The advanced theory of statistics. Vol. 1 (5th ed.), London: Griffin, 1952.Google Scholar

Lazarsfeld, P. F. The logical and mathematical foundation of latent structure analysis. In Stouffer, S. A. et al., Measurement and prediction, Princeton: Princeton Univ. Press, 1950.Google Scholar

Lazarsfeld, P. F. Latent structure analysis. In Koch, S. (Eds.), Psychology: a study of science. Vol. 3. New York: McGraw-Hill, 1959, 476–543.Google Scholar

Lazarsfeld, P. F. Latent structure analysis and test theory. In Gulliksen, H. and Messick, S. (Eds.), Psychological scaling: theory and applications. New York: Wiley, 1960, 83–95.Google Scholar

Torgerson, W. S. Theory and methods of scaling, New York: Wiley, 1958.Google Scholar