Tying up the loose ends in simple correspondence analysis
AbstractAlthough 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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Bibliographic InfoPaper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 940.
Date of creation: Jan 2006
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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 and Methodology: General - - - Other
- C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
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- 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.
- Michael Greenacre, 2008. "Correspondence analysis of raw data," Economics Working Papers 1112, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2009.
- K. Ruben Gabriel, 2002. "Goodness of fit of biplots and correspondence analysis," Biometrika, Biometrika Trust, vol. 89(2), pages 423-436, June.
- Urbano Lorenzo-Seva & Michel van de Velden & Henk A. L. Kiers, . "CAR: A MATLAB Package to Compute Correspondence Analysis with Rotations," Journal of Statistical Software, American Statistical Association, vol. 31(i08).
- Polak, Marike & Heiser, Willem J. & de Rooij, Mark, 2009. "Two types of single-peaked data: Correspondence analysis as an alternative to principal component analysis," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3117-3128, June.
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