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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 1207–1214
DOI: https://doi.org/10.17377/semi.2017.14.102 (Mi semr861) 		 
Probability theory and mathematical statistics

Normality tests for very small sample sizes

A. P. Kovalevskiiab

a Novosibirsk State Technical University, pr. Marksa, 20, 630073, Novosibirsk, Russia
b Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.102
Abstract: We consider testing the hypothesis of normality for 2, 3, 4 samples in absence of a priori information about its distribution parameters and alternative hypotheses. We base a precise test on a ratio of a range to a minimal spacing. We compare the test with Shapiro & Wilk test.
Keywords: normality test, L'Huillier formula, small sample size, Shapiro & Wilk test, spherical tetrahedron.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00683_а
Received September 10, 2017, published November 27, 2017
Bibliographic databases:
Document Type: Article
UDC: 519.233
MSC: 62F03
Language: Russian
Citation: A. P. Kovalevskii, “Normality tests for very small sample sizes”, Sib. Èlektron. Mat. Izv., 14 (2017), 1207–1214
Citation in format AMSBIB
\Bibitem{Kov17}
\by A.~P.~Kovalevskii
\paper Normality tests for very small sample sizes
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 1207--1214
\mathnet{http://mi.mathnet.ru/semr861}
\crossref{https://doi.org/10.17377/semi.2017.14.102}
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