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Extensions of Correspondence Analysis for the Statistical Exploration of Multidimensional Contingency Tables

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Conceptual and Numerical Analysis of Data

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Abstract

In this paper four different generalizations of canonical correlation analysis to Q ≥ 3 sets of random variables are proposed, their application to indicator variables is studied, and the resulting extensions of correspondence analysis (CA) to Q-dimensional contingency tables are presented. The determination of canonical variates leads to generalized eigenvalue problems which can be solved using a globally convergent algorithm, based on Watson’s iteration.

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References

  • Carroll, J.D. (1968): Generalization of Canonical Correlation Analysis to three or more sets of variables. Proc. 76th annual convention of the APA, 227–228.

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  • Kettenring, J. R. (1971): Canonical Analysis of several sets of variables. Biometrika 58, 488–51.

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  • Lebart, L., Morineau, A., Fenelon, J.-P. (1979): Traitement des Données Statistiques. Dunod, Paris.

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  • Watson, G. A. (1985): On the Convergence of EV Algorithms for Robust lp-Discrimination. Comp. Stat. Quarterly 4, 807–14.

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Author information

Authors and Affiliations

  1. Institut für Medizinische Statistik und Dokumentation der RWTH Aachen, Germany

    Renate Meyer

Authors
  1. Renate Meyer
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Editor information

Editors and Affiliations

  1. Lehrstuhl für Mathematische Methoden, Wirtschaftswissenschaften Universität Augsburg, Memminger Straße 14, D-8900, Augsburg, Germany

    Otto Optiz

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© 1989 Springer-Verlag Berlin · Heidelberg

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Meyer, R. (1989). Extensions of Correspondence Analysis for the Statistical Exploration of Multidimensional Contingency Tables. In: Optiz, O. (eds) Conceptual and Numerical Analysis of Data. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75040-3_11

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  • DOI: https://doi.org/10.1007/978-3-642-75040-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51641-5

  • Online ISBN: 978-3-642-75040-3

  • eBook Packages: Springer Book Archive

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