Probability matrix decomposition models

Psychometrika

Volumn 61, Issue 1, 1996, Pages 7-29

  Maris, Eric ^a   De Boeck, Paul ^b   Van Mechelen, Iven ^b  

^a RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

^b NONE

Author keywords

Boolean matrix decomposition; Clustering; EM algorithm; Incomplete data; Latent response model; Psychiatric diagnosis; Two way data

Indexed keywords

EID: 0040655671     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02296956     Document Type: Article

References (23)

1. Albert, A., & Anderson, J. A. (1984). On the existence of maximum likelihood estimates in logistic regression models. Biometrika, 71, 1-10.
2. American Psychiatric Association. (1980). The diagnostic and statistical manual of mental disorders (2nd ed.). Washington, DC: Author.
3. Arabie, P., & Hubert, L. J. (1992). Combinatorial data analysis. Annual Review of Psychology, 43, 169-203.
4. Bock, R. D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm. Psychometrika, 46, 443-459.
5. Candel, M., & Maris, E. (1994). Probability matrix decomposition: Perceptual analysis of two-way two-mode binary data. Manuscript submitted for publication.
6. Coombs, C. H. (1964). A theory of data. New York: Wiley.
7. De Boeck, P. (1986). HICLAS computer program: version 1.0. Leuven, Belgium: University of Leuven.
8. De Boeck, P., & Rosenberg, S. (1988). Hierarchical classes: Model and data analysis. Psychometrika, 53, 361-381.
9. Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977). Maximum likelihood estimation from incomplete data via the EM Algorithm (with discussion). Journal of the Royal Statistical Society, Series B, 39, 1-38.
10. Fischer, G. H. (1974). Einfuhrung in die Theorie psychologischer Tests [Introduction to the theory of psychological tests]. Bern: Huber.
11. Gertsbakh, I. B. (1989). Statistical reliability theory. New York: Marcel Dekker.
12. Greenacre, M. J. (1984). Theory and applications of correspondence analysis. London: Academic Press.
13. Jannarone, R. J., Yu, K. F., & Laughlin, J. E. (1990). Easy Bayes estimates for Rasch-type models. Psychometrika, 55, 449-460.
14. Kim, K. H. (1982). Boolean matrix theory. New York: Marcel Dekker.
15. Maris, E. (1992). Psychometric models for psychological processes and structures. Unpublished doctoral dissertation, University of Leuven, Belgium.
16. Maris, E. (1995). Psychometric latent response models. Psychometrika, 60, 523-547.
17. Mickey, M. R., Mundle, P., & Engelman, L. (1983). Boolean factor analysis. In W. J. Dixon (Ed.), BMDP statistical software (pp. 538-546, 692). Berkeley: University of California Press.
18. Mood, A. M., Graybill, F. A., & Boes, D. C. (1974). Introduction to the theory of statistics. London: McGraw-Hill.
19. Nishisato, S. (1980). Analysis of categorical data: Dual scaling and its applications. Toronto: University of Toronto Press.
20. Novick, M. R., & Jackson, P. H. (1974). Statistical methods for educational and psychological research. New York: McGraw-Hill.
21. Van Mechelen, I., & De Boeck, P. (1990). Projection of binary criterion into a model of hierarchical classes. Psychometrika, 55, 677-694.
22. Van Mechelen, I., De Boeck, P., & Rosenberg, S. (1995). The conjunctive hierarchical classes model. Psychometrika, 60, 505-521.
23. Wu, C. F. J. (1983). On the convergence properties of the EM-algorithm. The Annals of Statistics, 11, 95-103.