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

Paola Annoni and Pier Alda Ferrari

No unimi-1038, UNIMI - Research Papers in Economics, Business, and Statistics from Universitá degli Studi di Milano

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.

Keywords: Partial Credit Rasch Model; Ordinal Variables; Nonlinear PCA; damage indicator (search for similar items in EconPapers)
Date: 2006-10-19
Note: oai:cdlib1:unimi-1038
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