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2022 | 23 | nr 2 | 163--183
Tytuł artykułu

Advances on Permutation Multivariate Analysis of Variance for Big Data

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In many applications of the multivariate analyses of variance, the classic parametric solutions for testing hypotheses of equality in population means or multisample and multivariate location problems might not be suitable for various reasons. Multivariate multisample location problems lack a comparative study of the power behaviour of the most important combined permutation tests as the number of variables diverges. In particular, it is useful to know under which conditions each of the different tests is preferable in terms of power, how the power of each test increases when the number of variables under the alternative hypothesis diverges, and the power behaviour of each test as the function of the proportion of true alternative hypotheses. The purpose of this paper is to fill the gap in the literature about combined permutation tests, in particular for big data with a large number of variables. A Monte Carlo simulation study was carried out to investigate the power behaviour of the tests, and the application to a real case study was performed to show the utility of the method. (original abstract)
Rocznik
Tom
23
Numer
Strony
163--183
Opis fizyczny
Twórcy
  • University of Ferrara, Italy
  • University of Parma, Italy
Bibliografia
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  • Özköse, H., Ari, E. S. and Gencer, C., (2015). Yesterday, today and tomorrow of big data. Procedia-Social and Behavioral Sciences, 195, pp. 1042-1050.
  • Pesarin, F., (2001). Multivariate permutation tests: with applications in biostatistics, Vol. 240. Wiley: Chichester.
  • Pesarin, F., Salmaso, L., (2010a). Permutation tests for complex data: theory, applications and software. John Wiley & Sons: Chichester.
  • Pesarin, F., Salmaso, L., (2010b). Finite-sample consistency of combination-based permutation tests with application to repeated measures designs. Journal of Nonparaetric Statistics, 22(5), pp. 669-684.
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  • Polko-Zajac, D., (2020). A comparative study on the power of parametric and permutation tests for a multidimensional and two-sample location problem. Argumenta Oeconomica Cracoviensia, 2(23), pp. 69-79
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171662410

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