Abstract
We propose a procedure to assess a measure for a latent phenomenon, starting from the observation of a wide set of ordinal variables affected by missing data. The proposal is based on Nonlinear PCA technique to be jointly used with an ad hoc imputation method for the treatment of missing data. The procedure is particularly suitable when dealing with ordinal, or mixed, variables, which are strongly interrelated and in the presence of Specific patterns of missing observations.
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FERRARI, P.A., ANNONI, P. and URBISCI, S. (2005): A proposal for setting-up indicators in the presence of missing data: the case of vulnerability indicators. UNIMI-Research Papers in Economies, Business, and Statistics. Statistics and Mathematics. Working Paper 1. http://services.bepress.com/unimi/statistics/artl1..
GIFI, A. (1990): Nonlinear Multivariate Analysis. Wiley, New York.
LITTLE, R.J.A. and RUBIN, D.B. (2002): Statistical Analysis with missing data. IInd edition; John Wiley & Sons, Inc.
MICHAILIDIS, G. and de LEEUW, J. (1998): The Gifi System of Descriptive Multivariate Analysis. Statistical Science, Vol. 13,4, 307–336.
SRIVASTAVA, M.S. (2002): Methods of Multivariate Statistics. John Wiley & Sons, Inc.
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Ferrari, P.A., Annoni, P. (2006). Missing Data in Optimal Scaling. In: Zani, S., Cerioli, A., Riani, M., Vichi, M. (eds) Data Analysis, Classification and the Forward Search. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-35978-8_10
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DOI: https://doi.org/10.1007/3-540-35978-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35977-7
Online ISBN: 978-3-540-35978-4
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