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From multiple choice questionnaires to synthetic indicators: jointly use of Rasch analysis and NonLinear PCA

Author

Listed:
  • Paola Annoni

    (Dep. of Economics, Business and Statistics - University of Milan)

  • Pieralda Ferrari

    (Dep. of Economics, Business and Statistics - University of Milan)

Abstract

The jointly use of two latent factors methods is proposed to assess a measurement instrument for underlying phenomena. In particular the decay status of valuable Italian buildings is quantified on the basis of a wide set of observed categorical variables. At the purpose, Rasch analysis is used to properly calibrate the data, to discard non informative variables and redundant categories. As a second step, an optimal scaling technique, Nonlinear PCA, is applied to quantify variable categories and to compute a quantitative decay indicator, which could be independently used for units of future inventory. On the overall, similarities and different capabilities of the two techniques are analyzed and discussed.

Suggested Citation

  • Paola Annoni & Pieralda Ferrari, 2006. "From multiple choice questionnaires to synthetic indicators: jointly use of Rasch analysis and NonLinear PCA," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1038, Universit√° degli Studi di Milano.
  • Handle: RePEc:bep:unimip:unimi-1038
    Note: oai:cdlib1:unimi-1038
    as

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