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A note on the dual scaling of dominance data and its relationship to correspondence analysis
Greenacre, Michael; Torres, Anna
Universitat Pompeu Fabra. Departament d'Economia i Empresa
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.
Statistics, Econometrics and Quantitative Methods
correspondence analysis
dominance data
dual scaling
paired comparisons
principal component analysis
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