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The Duality Diagram: A Means for Better Practical Applications

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Develoments in Numerical Ecology

Part of the book series: NATO ASI Series ((ASIG,volume 14))

Abstract

Producing the Principal Components Analysis of a data table requires choices which need to be explained in order to acquire complete understanding of the results. This explicitness opens the road to other possible choices, leading to the oretical research and many practical applications. Changes of scale, changes of variables, weighting of statistical units, decentering of the representations, and elimination of dependence between individuals are dealt with. After reviewing the usual methods from t h i s perspective, it can be seen that it is possible to transform them in order to better adapt mathematical abstractions to concrete situations.

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Author information

Authors and Affiliations

  1. Unité de Biométrie, ENSA-INRA-USTL, 9, place Pierre Viala, F-34060, Montpellier Cedex, France

    Y. Escoufier

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  1. Y. Escoufier
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Editors and Affiliations

  1. Département de Sciences biologiques, Université de Montréal, C.P. 6128, Succ. A, H3C 3J7, Montréal, Québec, Canada

    Pierre Legendre

  2. Département de Biologie, Université Laval, G1K 7P4, Ste-Foy, Québec, Canada

    Louis Legendre

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© 1987 Springer-Verlag Berlin Heidelberg

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Escoufier, Y. (1987). The Duality Diagram: A Means for Better Practical Applications. In: Legendre, P., Legendre, L. (eds) Develoments in Numerical Ecology. NATO ASI Series, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70880-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-70880-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70882-4

  • Online ISBN: 978-3-642-70880-0

  • eBook Packages: Springer Book Archive

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