An algebraic generalisation of some variants of simple correspondence analysis

Eric J. Beh () and Rosaria Lombardo ()
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Eric J. Beh: University of Newcastle
Rosaria Lombardo: University of Campania

Metrika: International Journal for Theoretical and Applied Statistics, 2018, vol. 81, issue 4, No 3, 423-443

Abstract: 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.

Keywords: Adjusted residual; Biplot; Correspondence analysis; Isometric plot; Non-symmetrical correspondence analysis; Singular Value Decomposition; Standardised Residual (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00184-018-0649-0

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