Special Invited Paper: Dimension Reduction and Visualization in Discriminant Analysis (with discussion) |
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Authors: | R. Dennis Cook,& Xiangrong Yin |
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Affiliation: | Dept of Applied Statistics, University of Minnesota, USA,;Dept of Statistics, University of Georgia, USA |
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Abstract: | 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. |
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Keywords: | central subspaces dimension reduction regression regression graphics sliced inverse regression (SIR) sliced average variance estimation (SAVE). |
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