Taxicab Correspondence Analysis |
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Authors: | V. Choulakian |
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Affiliation: | (1) Université de Moncton, Moncton;(2) Départment de Mathematiques/Statistiques, Université de Moncton, Moncton, NB, E1A 3F9, Canada |
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Abstract: | Taxicab correspondence analysis is based on the taxicab singular value decomposition of a contingency table, and it shares some similar properties with correspondence analysis. It is more robust than the ordinary correspondence analysis, because it gives uniform weights to all the points. The visual map constructed by taxicab correspondence analysis has a larger sweep and clearer perspective than the map obtained by correspondence analysis. Two examples are provided. This research was financed by the Natural Sciences and Engineering Research Council of Canada. The author thanks Serge Vienneau for his help regarding the graphical displays, and also thanks the editor, associate editor, and two reviewers for their constructive comments. |
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Keywords: | singular value decomposition Benzécri et al.’ s measure of influence correspondence analysis L 1 norm robustness |
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