Mixture model clustering for mixed data with missing information

Computational Statistics and Data Analysis

Volumn 41, Issue 3-4, 2003, Pages 429-440

  Hunt, Lynette ^a   Jorgensen, Murray ^a  

^a UNIVERSITY OF WAIKATO   (New Zealand)

Author keywords

Clustering; Missing at random; Mixed data

Indexed keywords

DATA REDUCTION; MATHEMATICAL MODELS; STATISTICAL METHODS;

DATASETS;

COMPUTATIONAL METHODS;

NUMERICAL METHOD;

EID: 0037469115     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(02)00190-1     Document Type: Article

References (28)

1. Afifi, A.A., Elashoff, R.M., 1966. Missing observations in multivariate statistics I: review of the literature J. Amer. Statist. Assoc. 61, 595-604.
2. Andrews, D.A., Herzberg, A.M., 1985. Data: A Collection of Problems from Many Fields for the Student and Research Worker. Springer, New York.
3. Banfield, J.D., Raftery, A.E., 1993. Model-based Gaussian and non-Gaussian clustering. Biometrics 49, 803-821.
4. Beaton, A.E., 1964. The use of special matrix operators in statistical calculus. Educational Testing Service Research Bulletin, RB-64-51.
5. Byar, B.P., Green, S.B., 1980. The choice of treatment for cancer patients based on covariate information: application to prostate cancer Bull. Cancer 67, 477-490.
6. Celeux, G., Soromenho, G., 1996. An entropy criterion for assessing the number of clusters in a mixture model. J. Class. 13, 195-212.
7. Day, N.E., 1969. Estimating the components of a mixture of normal components. Biometrika 56, 464-474.
8. Dempster, A.P., 1969. Elements of Continuous Multivariate Analysis. Addison-Wesley, Reading, MA.
9. Dempster, A.P., Laird, N.M., Rubin, D.B., 1977. Maximum likelihood from incomplete data via the EM algorithm (with discussion) J. Roy. Statist. Soc. B 39, 1-38.
10. Edwards, D., 1995. Introduction to Graphical Modelling. Springer, New York.
11. Everitt, B.S., 1984. A note on parameter estimation for Lazarsfeld's latent class model using the EM algorithm. Multivariate Behavioral Res. 19, 79-89.
12. Gordon, A.D., 1999. Classi.cation. Chapman & Hall, CRC press, London.
13. Gower, J.C., 1971. A general coefficient of similarity and some of its properties. Biometrics 27, 857-874.
14. Hartley, H.O., Hocking, R.R., 1971. The analysis of incomplete data. Biometrics 14, 174-194.
15. Hunt, L.A., 1996. Clustering using .nite mixture models. Ph.D. Thesis, Department of Statistics, University of Waikato, New Zealand.
16. Hunt, L.A., Jorgensen, M.A., 1999. Mixture model clustering using the multimix program. Austral. and New Zealand J. Statist. 41, 153-171.
17. Jorgensen, M.A., Hunt, L.A., 1996. Mixture model clustering of data sets with categorical and continuous variables. In: Proceedings of the Conference on Information, Statistics and Induction in Science, Melbourne, 1996, pp. 375-384.
18. Lauritzen, S.L., Wermuth, N., 1989. Graphical models for associations between variables, some of which are qualitative and some quantitative. Ann. Statist. 17, 31-57.
19. Little, R.J.A., Rubin, D.B., 1987. Statistical Analysis with Missing Data. Wiley, New York.
20. Little, R.J.A., Schluchter, M.D., 1985. Maximum likelihood estimation for mixed continuous and categorical data with missing values. Biometrika 72, 497-512.
21. McLachlan, G.J., Basford, K.E., 1988. Mixture Models: Inference and Applications to Clustering. Marcel-Dekker, New York.
22. McLachlan, G.J., Krishnan, T., 1997. The EM Algorithm and Extensions. Wiley, New York.
23. McLachlan, G.J., Peel, D., 2000. Finite Mixture Models. Wiley, New York.
24. Molenberghs, G., Goetghebeur, E.J.T., Lipsitz, S.R., Kenward, M.G., 1999. Nonrandom missingness in categorical data: strengths and limitations Amer. Statist. 53, 110-118.
25. Orchard, T., Woodbury, M.A., 1972. A missing information principle: theory and applications. Proceedings of the Sixth Berkeley Symposium, Vol. 1, pp. 697-715.
26. Rubin, D.B., 1976. Inference and missing data. Biometrika 63, 581-593.
27. Schafer, J.L., 1997. Analysis of Incomplete Data. Chapman & Hall, London.
28. Titterington, D.M., Smith, A.F.M., Makov, U.E., 1985. Statistical Analysis of Finite Mixture Distributions. Wiley, New York.