A general framework for using latent class analysis to test hierarchical and nonhierarchical learning models
- 69 Downloads
Several articles in the past fifteen years have suggested various models for analyzing dichotomous test or questionnaire items which were constructed to reflect an assumed underlying structure. This paper shows that many models are special cases of latent class analysis. A currently available computer program for latent class analysis allows parameter estimates and goodness-of-fit tests not only for the models suggested by previous authors, but also for many models which they could not test with the more specialized computer programs they developed. Several examples are given of the variety of models which may be generated and tested. In addition, a general framework for conceptualizing all such models is given. This framework should be useful for generating models and for comparing various models.
Key wordslatent class analysis latent structure analysis Guttman models
Unable to display preview. Download preview PDF.
- 1.Clogg, C. C.Unrestricted and restricted maximum likelihood latent structure analysis: A manual for users. University Park, PA: Population Issues Research Office, 1978.Google Scholar
- 2.Haertel, E. Personal communication, 1979.Google Scholar
- 3.Airasian, P. W. Formative evaluation instruments: A construction and validation of tests to evaluate learning over short time periods. Unpublished doctoral dissertation, University of Chicago, 1969.Google Scholar
- 4.Clogg, C. C., & Sawyer, D. O. A comparison of alternative models for analyzing the scalability of response patterns. In S. Leinhardt (Ed.),Sociological Methodology 1981. San Francisco: Jossey-Bass, 1981.Google Scholar
- 5.Dayton, C. M., & Macready, G. B. A probabilistic model for validation of behavioral hierarchies.Psychometrika, 1976,41, 189–204.Google Scholar
- 8.Goodman, L. A. Exploratory latent structure analysis using both identifiable and unidentifiable models.Biometrika, 1974,61, 215–231. (b)Google Scholar
- 9.Goodman, L. A. A new model for scaling response patterns: An application of the quasi-independence concept.Journal of the American Statistical Association, 1975,70, 755–768.Google Scholar
- 10.Lazarsfeld, P. F. A conceptual introduction to latent structure analysis. In P. F. Lazarsfeld (Ed.),Mathematical thinking in the social sciences. Glencoe, IL: Free Press, 1954.Google Scholar
- 11.Lazarsfeld, P. F., & Henry, N. W.Latent structure analysis. Boston: Houghton-Mifflin, 1968.Google Scholar
- 12.Lazarsfeld, P. F. The logical and mathematical foundation of latent structure analysis. In S. A. Stouffer,et al., Measurement and prediction. Princeton, NJ: Princeton University Press, 1950.Google Scholar