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A Simulation Study on the Sample Size in the Mann‑Whitney Test in the Case of Pareto Distribution

Andrzej Kornacki et al · Lodz University Press · 2019

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Author / responsible party
Andrzej Kornacki et al
Publisher
Lodz University Press
Year
2019
ISSN
0208-6018
ISSN
0208-6018
Language
English

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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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APA 7

al, A. K. E. (2019). A Simulation Study on the Sample Size in the Mann‑Whitney Test in the Case of Pareto Distribution. https://doi.org/10.18778/0208-6018.340.02

MLA

al, Andrzej Kornacki et. "A Simulation Study on the Sample Size in the Mann‑Whitney Test in the Case of Pareto Distribution." 2019. https://doi.org/10.18778/0208-6018.340.02.

Chicago

al, Andrzej Kornacki et. 2019. "A Simulation Study on the Sample Size in the Mann‑Whitney Test in the Case of Pareto Distribution.". https://doi.org/10.18778/0208-6018.340.02.

Harvard

al, A. K. E. 2019, A Simulation Study on the Sample Size in the Mann‑Whitney Test in the Case of Pareto Distribution, Lodz University Press, available at: https://doi.org/10.18778/0208-6018.340.02 [Accessed 9 Aug. 2026].

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Title
A Simulation Study on the Sample Size in the Mann‑Whitney Test in the Case of Pareto Distribution
Author / contributors
Andrzej Kornacki et al
Publisher
Lodz University Press
Publication year
2019
ISSN
0208-6018
ISSN
0208-6018
Language
English

Subjects

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test Manna‑Whitneya; rozmiar próby; moc testu; moc empiryczna; rozkład Pareto; metoda Noethera
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