Journal of Applied Mathematics and Decision Sciences
Volume 5 (2001), Issue 1, Pages 35-45

Confidence circles for correspondence analysis using orthogonal polynomials

Eric J. Beh

School of Mathematics and Applied Statistics, University of Wollongong, Wollongong 2522, NSW, Australia

Copyright © 2001 Eric J. Beh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An alternative approach to classical correspondence analysis was developed in [3] and involves decomposing the matrix of Pearson contingencies of a contingency table using orthogonal polynomials rather than via singular value decomposition. It is especially useful in analysing contingency tables which are of an ordinal nature. This short paper demonstrates that the confidence circles of Lebart, Morineau and Warwick (1984) for the classical approach can be applied to ordinal correspondence analysis. The advantage of the circles in analysing a contingency table is that the researcher can graphically identify the row and column categories that contribute or not to the hypothesis of independence.