Badania symulacyjne związane z wyznaczaniem liczebności próby w teście Manna‑Whitneya w przypadku rozkładu Pareto

Andrzej Kornacki; Andrzej Bochniak

doi:10.18778/0208-6018.340.02

Authors

Andrzej Kornacki Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Akademicka 13, 20-950 Lublin, Poland http://orcid.org/0000-0003-2160-6987
Andrzej Bochniak Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Akademicka 13, 20-950 Lublin, Poland http://orcid.org/0000-0001-6664-2741

DOI:

https://doi.org/10.18778/0208-6018.340.02

Keywords:

Mann‑Whitney test, sample size, test power, empirical power, Pareto distribution, Noether method

Abstract

In the paper, the problem of determination of the number of observations necessary for the appropriate use of the non‑parametric Mann‑Whitney test in the case of Pareto distribution is presented. Using the method provided by Noether, the sample size is calculated which guarantees that the Mann‑Whitney U test at a given significance level α has the pre‑assumed power 1 –β. The presented method is examined by calculating empirical power in computer simulations. Moreover, different techniques of rounding the estimated sample size to an even integer number are studied. It is important when two equinumerous samples are to be compared.

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