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A note on the dual scaling of dominance data and its relationship to correspondence analysis

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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.

Suggested Citation

  • Michael Greenacre & Anna Torres, 1999. "A note on the dual scaling of dominance data and its relationship to correspondence analysis," Economics Working Papers 430, Department of Economics and Business, Universitat Pompeu Fabra.
    • Handle: RePEc:upf:upfgen:430
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    1. Michael Greenacre, 2008. "Correspondence analysis of raw data," Economics Working Papers 1112, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2009.
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    Cited by:

    1. Michael Greenacre, 2001. "Analysis of matched matrices," Economics Working Papers 539, Department of Economics and Business, Universitat Pompeu Fabra.

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    More about this item

    Keywords

    Correspondence analysis; dominance data; dual scaling; paired comparisons; preferences; principal component analysis; ratings;
    All these keywords.

    JEL classification:

    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software

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