Biometrical Letters

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Volume (52) Number 2 pp. 85-93

Zofia Hanusz 1, Joanna Tarasińska 1

1Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Głęboka 28, 20-612Lublin, Poland

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

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.

Keywords: Shapiro-Wilk W test, Kolmogorov-Smirnov test, normality, Johnson’s SB transformation
https://content.sciendo.com/downloadpdf/journals/bile/52/2/article-p85.pdf Full text available in Adobe Acrobat format

DOI: 10.1515/bile-2015-0008

For citation:

MLA Hanusz, Zofia, and Joanna Tarasińska. "Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality." Biometrical Letters 52.2 (2015): 85-93. DOI: 10.1515/bile-2015-0008
APA Hanusz, Z., & Tarasińska, J. (2015). Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality. Biometrical Letters 52(2), 85-93 DOI: 10.1515/bile-2015-0008
ISO 690 HANUSZ, Zofia, TARASIńSKA, Joanna. Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality. Biometrical Letters, 2015, 52.2: 85-93. DOI: 10.1515/bile-2015-0008