Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality

Zofia Hanusz; Joanna Tarasińska

doi:10.1515/bile-2015-0008

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Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality

Biometrical Letters

Volume 52 (2015): Issue 2 (December 2015)

By: Zofia Hanusz and Joanna Tarasińska

Open Access

|Dec 2015

Abstract

Two very well-known tests for normality, the Kolmogorov-Smirnov and the Shapiro- Wilk tests, are considered. Both of them may be normalized using Johnson’s (1949) SB distribution. In this paper, functions for normalizing constants, dependent on the sample size, are given. These functions eliminate the need to use non-standard statistical tables with normalizing constants, and make it easy to obtain p-values for testing normality.

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Articles in this issue

DOI: https://doi.org/10.1515/bile-2015-0008 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811

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Language: English

Page range: 85 - 93

Published on: Dec 12, 2015

Published by: Polish Biometric Society

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Shapiro-Wilk W test,

Kolmogorov-Smirnov test,

normality,

Johnson’s SB transformation

Related subjects:

Life sciences,

Bioinformatics,

Life sciences, other,

Mathematics,

Probability and statistics,

Applied mathematics

© 2015 Zofia Hanusz, Joanna Tarasińska, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 52 (2015): Issue 2 (December 2015)