A Note on the Dual Scaling of Dominance Data and its Relationship to Correspondence Analysis

UPF Economics and Business Working Paper No. 430

11 Pages Posted: 1 May 2000

See all articles by Michael Greenacre

Michael Greenacre

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences

Anna Torres

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences

Abstract

Dual scaling of a subjects-by-objects table of dominance data (preferences, paired comparisons and successive categories data) has been contrasted with correspondence analysis, as if the two techniques were somehow different. In this note we show that dual scaling of dominance data is equivalent to the correspondence analysis of a table which is doubled with respect to subjects. We also show that the results of both methods can be recovered from a principal components analysis of the undoubled dominance table which is centred with respect to subject means.

Keywords: Correspondence Analysis, dominance data, dual scaling, paired comparisons, preferences, principal component analysis, ratings.

JEL Classification: C19, C88

Suggested Citation

Greenacre, Michael John and Torres-Lacomba, Anna, A Note on the Dual Scaling of Dominance Data and its Relationship to Correspondence Analysis. UPF Economics and Business Working Paper No. 430, Available at SSRN: https://ssrn.com/abstract=224559 or http://dx.doi.org/10.2139/ssrn.224559

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)

Anna Torres-Lacomba

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

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain

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