Hierarchical classes models for three-way three-mode binary data: Interrelations and model selection

Psychometrika

Volumn 70, Issue 3, 2005, Pages 461-480

  Ceulemans, Eva ^a,b   Van Mechelen, Iven ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b Department of Psychology ^*  (Belgium)

Author keywords

Binary data; Hierarchical classes; Model selection; Multiway analysis; Three way three mode data

Indexed keywords

EID: 28844440955     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-003-1067-3     Document Type: Review

References (25)

1. Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In B.N. Petrov & F. Csaki (Eds.), Second International Symposium on Information Theory (pp. 267-281). Budapest: Academiai Kiado.
2. Bozdogan, H. (1987). Model selection and Akaike's information criterion (AIC): The general theory and its analytical extensions. Psychometrika, 52, 345-370.
3. Bozdogan, H. (2000). Akaike's information criterion and recent developments in informational complexity. Journal of Mathematical Psychology, 44, 62-91.
4. Cattell, R.B. (1966). The meaning and strategic use of factor analysis. In R.B. Cattell (Ed.), Handbook of Multivariate Experimental Psychology (pp. 174-243). Chicago: Rand McNally.
5. Ceulemans, E., & Van Mechelen, I. (2004). Tucker2 hierarchical classes analysis. Psychometrika, 69, 413-433.
6. Ceulemans, E., Van Mechelen, I., & Leenen, I. (2003). Tucker3 hierarchical classes analysis. Psychometrika, 68, 413-433.
7. De Boeck, P., & Rosenberg, S. (1988). Hierarchical classes: Model and data analysis. Psychometrika, 53, 361-381.
8. Fowlkes, E.B., Freeny, A.E., & Landwehr, J.M. (1988). Evaluating logistic models for large contingency tables. Journal of the American Statistical Association, 83, 611-622.
9. Haggard, E. A. (1958). Intraclass Correlation and the Analysis of Variance. New York: Dryden.
10. Kiers, H.A.L. (1991). Hierarchical relations among three-way methods. Psychometrika, 56, 449-470.
11. Kiers, H.A.L. (2000). Towards a standardized notation and terminology in multiway analysis. Journal of Chemometrics, 14, 105-122.
12. Kim, K.H. (1982). Boolean Matrix Theory. New York: Marcel Dekker.
13. Kirk, R.E. (1982). Experimental design: Procedures for the behavioral sciences (second edition). Belmont, CA: Brooks/Cole.
14. Kroonenberg, P.M. (1983). Three-mode Principal Component Analysis: Theory and Applications. Leiden: DSWO.
15. Kroonenberg, P.M., & Oort, F.J. (2003). Three-mode analysis of multimode covariance matrices. British Journal of Mathematical and Statistical Psychology, 56, 305-336.
16. Kroonenberg, P.M., & Van der Voort, T. H.A. (1987). Multiplicatieve decompositie van interacties bij oordelen over de werkelijkheidswaarde van televisiefilms [Multiplicative decomposition of interactions for judgements of realism of television films]. Kwantitatieve Methoden, 8, 117-144.
17. Kuppens, P., Van Mechelen, I., Smits, D. J.M., De Boeck, P., & Ceulemans, E. (2005). Individual differences in appraisal and emotion: The case of anger and irritation, submitted.
18. Leenen, I., & Van Mechelen, I. (2001). An evaluation of two algorithms for hierarchical classes analysis. Journal of Classification, 18, 57-80.
19. Leenen, I., Van Mechelen, I., De Boeck, P., & Rosenberg, S. (1999). INDCLAS: A three-way hierarchical classes model. Psychometrika, 64, 9-24.
20. Timmerman, M.E., & Kiers, H.A.L. (2000). Three-mode principal components analysis: Choosing the numbers of components and sensitivity to local optima. British Journal of Mathematical and Statistical Psychology, 53, 1-16.
21. Van Mechelen, I. (1991). Symptom and diagnosis inference based on implicit theories of psychopathology: A review. Cahiers de Psychologie Cognitive, 11, 155-171.
22. Van Mechelen, I., & De Boeck, P. (1989). Implicit taxonomy in psychiatric diagnosis: A case study. Journal of Social and Clinical Psychology, 8, 276-287.
23. Van Mechclen, I., De Boeck, P., & Rosenberg, S. (1995). The conjunctive model of hierarchical classes. Psychometrika, 60, 505-521.
24. Vansteelandt, K., & Van Mechelen, I. (1998). Individual differences in situation-behavior profiles: A triple typology model. Journal of Personality and Social Psychology, 75, 751-765.
25. Wilks, S.S. (1938). The large sample distribution of the likelihood ratio for testing composite hypotheses. Annals of Mathematical Statistics, 9, 60-62.