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

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

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.

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

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