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


Author Info

  • Paola Annoni

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

  • Pieralda Ferrari

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


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.

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Bibliographic Info

Paper provided by Universit√° degli Studi di Milano in its series UNIMI - Research Papers in Economics, Business, and Statistics with number unimi-1038.

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Date of creation: 19 Oct 2006
Date of revision:
Handle: RePEc:bep:unimip:unimi-1038

Note: oai:cdlib1:unimi-1038
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Related research

Keywords: Partial Credit Rasch Model; Ordinal Variables; Nonlinear PCA; damage indicator;


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