Two-way classification of a data table with non negative entries: The role of the χ 2 distance and Correspondence Analysis
- Ciampi, A. 1
- Dyachenko, A. 4
- Gonzalez-Marcos, A. 2
- Lechevallier, Y. 3
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1
McGill University
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2
Universidad de León
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- 3 INRIA, Rocquencourt, France
- 4 St. Mary's Research Center, St. Mary's Hospital, Montreal, QC, Canada
ISSN: 0361-0918
Year of publication: 2012
Volume: 41
Issue: 7
Pages: 1006-1022
Type: Article
More publications in: Communications in Statistics Part B: Simulation and Computation
Abstract
We developed an approach to two-way classification based on the χ 2 distance and Correspondence Analysis. We present, in particular, two classification algorithms: the first one operates a dimension reduction before applying clustering techniques to rows and columns. The second one, successively partitions the data matrix to extract several classification schemes rather than one. Applications to gene expression and web data are presented. The results are compared with an optimal partition algorithm. Copyright © Taylor & Francis Group, LLC.