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A Proposal for Setting-up Indicators in the Presence of Missing Data: the Case of Vulnerability Indicators

Author

Listed:
  • Pieralda Ferrari

    (department of economics, business and statistics)

  • Paola Annoni
  • Sergio Urbisci

Abstract

A procedure for the construction of an indicator in the presence of structured missing data is proposed. In particular, we face the problem of creating a ‘measure’ of the damage degree of valuable historical-architectonical buildings on the basis of the observation of several ordinal variables. Our proposal is the jointly use of Nonlinear PCA and an imputation method for missing data treatment. The adopted procedure can be generally applied when an indicator is needed on the basis of the observation of ordinal, but also nominal or numerical, variables, which are deeply interrelated and are affected by systematic missing data. It has the nice feature of treating missing data according to the relevance of variables affected by missing observations and, at the same time, it preserves all the properties of Nonlinear PCA without missing data. Furthermore, the method provides category quantifications and variable loadings that could be used for future inventory of buildings (in general of ‘units’) not included in the initial survey.

Suggested Citation

  • Pieralda Ferrari & Paola Annoni & Sergio Urbisci, 2005. "A Proposal for Setting-up Indicators in the Presence of Missing Data: the Case of Vulnerability Indicators," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1002, Universitá degli Studi di Milano.
  • Handle: RePEc:bep:unimip:unimi-1002
    Note: oai:cdlib1:unimi-1002
    as

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    Cited by:

    1. Pieralda FERRARI & Paola ANNONI, 2005. "Missing data in optimal scaling," Departmental Working Papers 2005-19, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.

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