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An algebraic generalisation of some variants of simple correspondence analysis

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Abstract

For an analysis of the association between two categorical variables that are cross-classified to form a contingency table, graphical procedures have been central to this analysis. In particular, correspondence analysis has grown to be a popular method for obtaining such a summary and there is a great variety of different approaches that one may consider to perform. In this paper, we shall introduce a simple algebraic generalisation of some of the more common approaches to obtaining a graphical summary of association, where these approaches are akin to the correspondence analysis of a two-way contingency table. Specific cases of the generalised procedure include the classical and non-symmetrical correspondence plots and the symmetrical and isometric biplots.

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Authors and Affiliations

  1. School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, Australia

    Eric J. Beh

  2. Department of Economics, University of Campania, Caserta, Italy

    Rosaria Lombardo

Authors
  1. Eric J. Beh
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  2. Rosaria Lombardo
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Correspondence to Eric J. Beh.

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Beh, E.J., Lombardo, R. An algebraic generalisation of some variants of simple correspondence analysis. Metrika 81, 423–443 (2018). https://doi.org/10.1007/s00184-018-0649-0

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