Confidence circles for correspondence analysis using orthogonal polynomials. Issue 1 (2001)

• Record Type: Journal Article
• Authors: Beh, Eric J.
• Is Part Of: Journal of applied mathematics & decision sciences. Volume 5:Issue 1(2001)
• Page Start: 35
• Page End: 45
• Publication Date: 2001
• Subjects: Operations research -- Periodicals; Mathematical models -- Periodicals; Statistics -- Periodicals; Quality control -- Periodicals; Mathematical models; Operations research; Quality control; Statistics; Periodicals; 519.05
• DOI: 10.1155/S1173912601000037
• Languages: English
• ISSNs: 1173-9126

Abstract

Abstract : 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.