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Tying up the loose ends in simple correspondence analysis

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Author Info
Michael Greenacre ()
Abstract

Although correspondence analysis is now widely available in statistical software packages and applied in a variety of contexts, notably the social and environmental sciences, there are still some misconceptions about this method as well as unresolved issues which remain controversial to this day. In this paper we hope to settle these matters, namely (i) the way CA measures variance in a two-way table and how to compare variances between tables of different sizes, (ii) the influence, or rather lack of influence, of outliers in the usual CA maps, (iii) the scaling issue and the biplot interpretation of maps,(iv) whether or not to rotate a solution, and (v) statistical significance of results.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/940.pdf
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Publisher Info
Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 940.

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Date of creation: Jan 2006
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Handle: RePEc:upf:upfgen:940

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Web page: http://www.econ.upf.edu/

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Related research
Keywords: Biplot; bootstrapping; canonical correlation; chi-square distance; confidence; ellipse; contingency table; convex hull; correspondence analysis; inertia; randomization test; rotation; singular value;

Find related papers by JEL classification:
C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Other
C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software

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  1. K. Ruben Gabriel, 2002. "Goodness of fit of biplots and correspondence analysis," Biometrika, Oxford University Press for Biometrika Trust, vol. 89(2), pages 423-436, June.
  2. John Aitchison & Michael Greenacre, 2002. "Biplots of compositional data," Journal Of The Royal Statistical Society Series C, Royal Statistical Society, vol. 51(4), pages 375-392. [Downloadable!] (restricted)
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