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Statistical Models for Data Analysis pp 45–53Cite as

Nonparametric Multivariate Inference Via Permutation Tests for CUB Models

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Abstract

A new approach for modelling discrete choices in rating or ranking problems is represented by a class of mixture models with covariates (Combination of Uniform and shifted Binomial distributions, CUB models), proposed by Piccolo (2003, Quaderni di Statistica, 5, 85–104), D’Elia & Piccolo (2005, Computational Statistics & Data Analysis, 49, 917–934), Piccolo (2006, Quaderni di Statistica, 8, 33–78) and Iannario (2010, Metron, LXVIII, 87–94). In case of a univariate response, a permutation solution to test for covariates effects has been discussed in Bonnini et al. (2012, Communication in Statistics: Theory and Methods), together with parametric inference. We propose an extension of this nonparametric test to deal with the multivariate case. The good performances of the method are showed trough a simulation study and the procedure is applied to real data regarding the evaluation of the Ski School of Sesto Pusteria (Italy).

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Acknowledgements

Authors wish to thank the University of Padova (CPDA092350/09) and the Italian Ministry for University and Research MIUR project PRIN2008 -CUP number C91J10000000001 (2008WKHJPK/002) for providing the financial support for this research.

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Authors and Affiliations

  1. Economics and Management, University of Ferrara, Via Voltapaletto, 11, 44121, Ferrara, Italy

    Stefano Bonnini

  2. Department of Management and Engineering, University of Padova, Stradella S. Nicola 3, 36100, Vicenza, Italy

    Luigi Salmaso

  3. Department of Statistical Sciences, University of Padova, Via C. Battisti, 241, 35121, Padova, Italy

    Francesca Solmi

Authors
  1. Stefano Bonnini
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  2. Luigi Salmaso
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  3. Francesca Solmi
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Corresponding author

Correspondence to Stefano Bonnini .

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Editors and Affiliations

  1. Department of Economics, and Management, University of Pavia, Via San Felice 7, Pavia, 27100, Italy

    Paolo Giudici

  2. Department of Economics, and Business, University of Catania, Corso Italia 55, Catania, 95129, Italy

    Salvatore Ingrassia

  3. , Department of Statistics, University of Rome "La Sapienza", Piazzale Aldo Moro 5, Rome, 00185, Italy

    Maurizio Vichi

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© 2013 Springer International Publishing Switzerland

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Bonnini, S., Salmaso, L., Solmi, F. (2013). Nonparametric Multivariate Inference Via Permutation Tests for CUB Models. In: Giudici, P., Ingrassia, S., Vichi, M. (eds) Statistical Models for Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00032-9_6

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