Theory & Methods: Special Invited Paper: Dimension Reduction and Visualization in Discriminant Analysis (with discussion)
Article first published online: 18 DEC 2002
Australian Statistical Publishing Association Inc 2001
Australian & New Zealand Journal of Statistics
Volume 43, Issue 2, pages 147–199, June 2001
How to Cite
Cook, R. D. and Yin, X. (2001), Theory & Methods: Special Invited Paper: Dimension Reduction and Visualization in Discriminant Analysis (with discussion). Australian & New Zealand Journal of Statistics, 43: 147–199. doi: 10.1111/1467-842X.00164
- Issue published online: 18 DEC 2002
- Article first published online: 18 DEC 2002
- Cited By
- central subspaces;
- dimension reduction;
- regression graphics;
- sliced inverse regression (SIR);
- sliced average variance estimation (SAVE).
This paper discusses visualization methods for discriminant analysis. It does not address numerical methods for classification per se, but rather focuses on graphical methods that can be viewed as pre-processors, aiding the analyst's understanding of the data and the choice of a final classifier. The methods are adaptations of recent results in dimension reduction for regression, including sliced inverse regression and sliced average variance estimation. A permutation test is suggested as a means of determining dimension, and examples are given throughout the discussion.