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Correspondence Analysis in the Case of Outliers

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Classification and Data Mining

Abstract

Analysis of categorical data by means of Correspondence Analysis (CA) has recently become popular. The behavior of CA in the presence of outliers in the table is not sufficiently explored in the literature, especially in the case of multidimensional contingency tables. In our research we apply correspondence analysis to three-way contingency tables with outliers, generated by deviations from the independence model. Outliers in our work are chosen in such a way that they break the independence in the table, but still they are not large enough to be easily spotted without statistical analysis. We study the change in the correspondence analysis row and column coordinates caused by the outliers and perform numerical analysis of the outlier coordinates.

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Notes

  1. 1.

    The printed version of the paper contains only black-white pictures. Coloured versions of this pictres are available from the authors upon request.

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Acknowledgements

We appreciate valuable comments of Mikhail Langovoy as well as of anonymous reviewers of our article.

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Authors and Affiliations

  1. TU Dortmund University, Dortmund, Germany

    Anna Langovaya, Sonja Kuhnt & Hamdi Chouikha

Authors
  1. Anna Langovaya
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  2. Sonja Kuhnt
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  3. Hamdi Chouikha
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Corresponding author

Correspondence to Anna Langovaya .

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Editors and Affiliations

  1. Department of Statistics, Università degli Studi di Firenze, Viale G.B. Morgagni 59, Firenze, 50134, Italy

    Antonio Giusti

  2. Fakultät für Informatik, und Mathematik, Universität Passau, Innstr. 33, Passau, 94030, Germany

    Gunter Ritter

  3. Sapienza", Department of Statistics, University of Rome "La, Piazzale Aldo Moro 5, Rome, 00185, Italy

    Maurizio Vichi

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Langovaya, A., Kuhnt, S., Chouikha, H. (2013). Correspondence Analysis in the Case of Outliers. In: Giusti, A., Ritter, G., Vichi, M. (eds) Classification and Data Mining. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28894-4_8

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