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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

References

  1. Birnbaum Z.W. (1952): Numerical tabulation of the distribution of Kolmogorov’s statistic for finite sample size. J. Amer. Statist. Assoc. 47: 425-44.
  2. Johnson N.L. (1949): Systems of frequency curves generated by methods of translation. Biometrika 36: 149-176.10.1093/biomet/36.1-2.149
  3. Hanusz Z., Tarasińska J. (2014): Normalization of Shapiro-Wilk test with known mean. Colloquium Biometricum 44: 35-41.
  4. Kolmogorov A. (1933): Sulla derminazione empirica di una legge di distribuzione. Ist. Ital. Attuari G,4: 1-11.
  5. Marsaglia G., Tsang W.W., Wang J. (2003): Evaluating Kolmogorov’s distribution. Journal of Statistical Software 8/18.10.18637/jss.v008.i18
  6. Miller L.H. (1956): Table of percentage points of Kolmogorov statistics. J. Amer. Statist. Assoc. 51: 111-121.
  7. 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.
  8. Rao C.R. (1948): Tests of significance in multivariate analysis. Biometrika 35: 58-79.10.1093/biomet/35.1-2.58
  9. Royston J.P. (1992): Approximating the Shapiro-Wilk W-test for non-normality. Statistics and Computing 2: 117-119.10.1007/BF01891203
  10. Shapiro S.S., Wilk M.B. (1965): An analysis of variance test for normality (complete samples). Biometrika 52: 591-611.10.1093/biomet/52.3-4.591
  11. Shapiro S.S., Wilk M.B. (1968): Approximations for the null distribution of the W statistic. Technometrics 10: 861-866.10.2307/1267467
  12. Stephens M.A. (1974): EDF statistics for goodness of fit and some comparisons. JASA, 69(347): 730-737.10.1080/01621459.1974.10480196
  13. Thode H.C. (2002): Testing for normality. Marcel Dekker Inc.10.1201/9780203910894
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.