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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2017 Volume 14, Pages 1207–1214 (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

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.

UDC: 519.233

MSC: 62F03

Received September 10, 2017, published November 27, 2017

DOI: 10.17377/semi.2017.14.102



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