Tying Up the Loose Ends in Simple Correspondence Analysis

37 Pages Posted: 20 Jul 2007

See all articles by Michael Greenacre

Michael Greenacre

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences

Date Written: January 2001

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.

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

JEL Classification: C19, C88

Suggested Citation

Greenacre, Michael John, Tying Up the Loose Ends in Simple Correspondence Analysis (January 2001). Available at SSRN: https://ssrn.com/abstract=1001889 or http://dx.doi.org/10.2139/ssrn.1001889

Michael John Greenacre (Contact Author)

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain
34 93 542 25 51 (Phone)
34 93 542 17 46 (Fax)

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Downloads
142
Abstract Views
1,053
rank
275,584
PlumX Metrics