Two different methodologies, Nonlinear PCA and Partial Credit version of Rasch model, are applied to real data to obtain a quantitative measure of a latent factor. Specifically the goal is to identify the level of damage of a set of particurarly valuable public buildings. Several ordinal variables are observed on each building, which describe various aspects of damage severity. Scoreson each bulding are then assigned on the basis of computed 'vulnerability' level.
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Paper provided by Department of Economics University of Milan Italy in its series Departemental Working Papers with number
2005-12.