Confidence circles for correspondence analysis using orthogonal polynomials. (Q5929483)

Summary: An alternative approach to classical correspondence analysis was developed earlier 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 \textit{L. Lebart, A. Morineau } and \textit{K. M. Warwick} [Multivariate descriptive statistical analysis. Correspondence analysis and related techniques for large matrices. New York: Wiley (1984; Zbl 0658.62069)] 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.