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Advances in Permutation Tests for Covariates in a Mixture Model for Preference Data Analysis

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Topics in Nonparametric Statistics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 74))

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Abstract

The rating problem arises very often in statistical surveys and a new approach for this problem is represented by the combination of uniform and binomial models. In the present work a simulation study is presented to prove the good power behavior of a permutation test on the covariates of a complex model, with more than one covariate. Moreover a discussion on the minimum sample size needed to perform such permutation test is also given.

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References

  1. Bonnini, S., Piccolo, D., Salmaso, L., Solmi, F.: Permutation inference for a class of mixture models. Commun. Stat. A 41, 2879–2895 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  2. Bohningen, D., Ekkehart, D., Kuhnert, R., Schon, D.: Mixture models for capture-recapture count data. Stat. Methods Appl. 14, 29–43 (2005)

    Article  MathSciNet  Google Scholar 

  3. D’Elia, A., Piccolo, D.: A mixture model for preference data anaysis. Comput. Stat. Data Anal. 49, 917–934 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  4. Huang, Y., Xu, H., Calian, V., Hsu, J.C.: To permute or not to permute. Bioinformatics 22(18), 2244–2248 (2006)

    Article  Google Scholar 

  5. Iannario, M., Piccolo, D.: CUB models: Statistical methodsand empirical evidence. In: Kennett, R.S., Salini, S. (eds.) Modern Analysis of Customer Surveys with applications using R, pp. 231–258. Wiley, Chichester (2011)

    Chapter  Google Scholar 

  6. Piccolo, D.: On the moments of a mixture of uniform and shifted binomial random variables. Quad. Stat. 5, 85–104 (2003)

    Google Scholar 

  7. Piccolo, D.: Observed information matrix for MUB models. Quad. Stat. 8, 33–78 (2006)

    Google Scholar 

  8. Piccolo, D., D’Elia, A.: A new approach for modeling consumer’s preferences. Food Qual. Prefer. 19, 247–259 (2008)

    Article  Google Scholar 

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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. They also wish to thank Professor Luigi Salmaso and Doctor Rosa Arboretti Giancristofaro (University of Padova, Italy) and Mr. Herbert Summerer (Director of the Sky School of Sesto) for providing the data used in the real case application.

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Correspondence to Stefano Bonnini .

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Bonnini, S., Solmi, F. (2014). Advances in Permutation Tests for Covariates in a Mixture Model for Preference Data Analysis. In: Akritas, M., Lahiri, S., Politis, D. (eds) Topics in Nonparametric Statistics. Springer Proceedings in Mathematics & Statistics, vol 74. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0569-0_4

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