Open Access

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


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Birnbaum Z.W. (1952): Numerical tabulation of the distribution of Kolmogorov’s statistic for finite sample size. J. Amer. Statist. Assoc. 47: 425-44.Search in Google Scholar

Johnson N.L. (1949): Systems of frequency curves generated by methods of translation. Biometrika 36: 149-176.10.1093/biomet/36.1-2.149Search in Google Scholar

Hanusz Z., Tarasińska J. (2014): Normalization of Shapiro-Wilk test with known mean. Colloquium Biometricum 44: 35-41.Search in Google Scholar

Kolmogorov A. (1933): Sulla derminazione empirica di una legge di distribuzione. Ist. Ital. Attuari G,4: 1-11.Search in Google Scholar

Marsaglia G., Tsang W.W., Wang J. (2003): Evaluating Kolmogorov’s distribution. Journal of Statistical Software 8/18.10.18637/jss.v008.i18Search in Google Scholar

Miller L.H. (1956): Table of percentage points of Kolmogorov statistics. J. Amer. Statist. Assoc. 51: 111-121.Search in Google Scholar

R Development Core Team (2008): R: A language and environment for statistical computing. R Foundation for Statistical Computing. Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.Search in Google Scholar

Rao C.R. (1948): Tests of significance in multivariate analysis. Biometrika 35: 58-79.10.1093/biomet/35.1-2.58Search in Google Scholar

Royston J.P. (1992): Approximating the Shapiro-Wilk W-test for non-normality. Statistics and Computing 2: 117-119.10.1007/BF01891203Search in Google Scholar

Shapiro S.S., Wilk M.B. (1965): An analysis of variance test for normality (complete samples). Biometrika 52: 591-611.10.1093/biomet/52.3-4.591Search in Google Scholar

Shapiro S.S., Wilk M.B. (1968): Approximations for the null distribution of the W statistic. Technometrics 10: 861-866.10.2307/1267467Search in Google Scholar

Stephens M.A. (1974): EDF statistics for goodness of fit and some comparisons. JASA, 69(347): 730-737.10.1080/01621459.1974.10480196Search in Google Scholar

Thode H.C. (2002): Testing for normality. Marcel Dekker Inc.10.1201/9780203910894Search in Google Scholar

eISSN:
1896-3811
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Life Sciences, Bioinformatics, other, Mathematics, Probability and Statistics, Applied Mathematics