A new approach to cluster analysis: The clustering-function-based method

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 68, Issue 3, 2006, Pages 457-476

  Li, Baibing ^a,b  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Discriminant analysis; Gene expression data; Regression analysis; Sign eigenanalysis; Unsupervised learning

Indexed keywords

EID: 33646677427     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/j.1467-9868.2006.00549.x     Document Type: Article

References (26)

1. Banfield, J. D. and Raftery, A. E. (1993) Model-based Gaussian and non-Gaussian clustering. Biometrics, 49, 803-821.
2. Bittner, M., Meltzer, P., Chen, Y., Jiang, Y., Seftor, E., Hendrix, M., Radmacher, M., Simon, R., Yakhini, Z., Ben-Dor, A., Sampas, N., Dougherty, E., Wang, E., Marincola, F., Gooden, C., Lueders, J., Glatfelter. A., Pollock, P., Carpten, J., Gillanders, E., Leja, D., Dietrich, K., Beaudry, C., Berens, M., Alberts, D., Sondak, V., Hayward, N. and Trent, J. (2000) Molecular classification of cutaneous malignant melanoma by gene expression profiling. Nature. 406, 536-540.
3. Brusco, M. J. and Cradit, J. D. (2001) A variable selection heuristic for K-means clustering. Psychometrika, 66, 249-270.
4. Celeux, G. and Govaert, G. (1993) Comparison of the mixture and classification maximum likelihood in cluster analysis. J. Statist. Computn Simuln, 47, 127-146.
5. Eisen, M. B., Spellman, P. T., Brown, P. O. and Botstein, D. (1998) Cluster analysis and display of genome-wide expression patterns. Proc. Natn. Acad. Sci. USA. 95, 14863-14868.
6. Everitt, B. S. (1993) Cluster Analysis. New York: Arnold.
7. Fraley, C. and Raftery, A. E. (2002) Model-based clustering, discriminant analysis, and density estimation. J. Am. Statist. Ass., 97, 611-631.
8. Friedman, H. P. and Rubin, J. (1967) On some invariant criteria for grouping data. J. Am. Statist. Ass., 62, 1159-1178.
9. Friedman, J. H. and Meulman, J. J. (2004) Clustering objects on subsets of attributes (with discussion). J. R. Statist. Soc. B, 66, 815-849.
10. Goldstein, D. R., Ghosh, D. and Conlon, E. (2002) Statistical issues in the clustering of gene expression data. Statist. Sin., 12, 219-240.
11. Hand, D. J. (2004) Discussion on 'Clustering objects on subsets of attributes' (by J. H. Friedman and J. J. Meulman). J. R. Statist. Soc. B. 66, 839-840.
12. Hoff, P. D. (2004) Discussion on 'Clustering objects on subsets of attributes' (by J. H. Friedman and J. J. Meulman). J. R. Statist. Soc. B, 66, 845-846.
13. Knoke, J. D. (1982) Discriminant analysis with discrete and continuous variables. Biometrics. 38, 191-200.
14. Krzanowski, W. J. (1975) Discrimination and classification using both binary and continuous variables. J. Am. Statist. Ass., 70, 782-790.
15. Krzanowski, W. J. and Marriot, F. H. C. (1995) Multivariate Analysis, vol. 2. New York: Arnold.
16. LaTulippe, E., Satagopan, J., Smith, A., Scher, H., Scardino, P., Reuter, V. and Gerald, W. E. (2002) Comprehensive gene expression analysis of prostate cancer reveals distinct transcriptional programs associated with metastatic disease. Cancer Res., 62, 4499-4506.
17. Li, B. (2006) Sign eigenanalysis and its applications to optimizations and robust statistics. Comput. Statist. Data Anal., 50, 154-162.
18. MacQueen, J. B. (1967) Some methods for classification and analysis of multivariate observations. In Proc. 5th Berkeley Symp. Mathematical Statistics and Probability, pp. 281 -297. Berkeley: University of California Press.
19. Math Works (2004) MATLAB: the Language of Technical Computing. Natick: MathWorks, Inc.
20. SAS Institute (1999) SAS/STAT User's Guide. Cary: SAS Institute.
21. Satagopan, J. M. and Panageas, K. S. (2003) A statistical perspective on gene expression data analysis. Statist. Med., 22, 481-499.
22. Speed, T. (2003) Statistical Analysis of Gene Expression Microarray Data. London: Chapman and Hall.
23. SPSS (2003) SPSS Base 12.0 for Windows User's Guide. Chicago: SPSS Inc.
24. Ward, J. H. (1963) Hierarchical grouping to optimize an objective function. J. Am. Statist. Ass., 58, 236-244.
25. Webb, A. (1999) Statistical Pattern Recognition. Eondon: Arnold.
26. Weisberg, S. (1985) Applied Linear Regression. 2nd edn. New York: Wiley.