Skip to main content
Have a personal or library account? Click to login
Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality Cover

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

Biometrical Letters
Volume 52 (2015): Issue 2 (December 2015)
By:  and    
Open Access
|Dec 2015
References

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.
    Search in Google Scholar
  2. Johnson N.L. (1949): Systems of frequency curves generated by methods of translation. Biometrika 36: 149-176.
    Open DOISearch in Google Scholar
  3. Hanusz Z., Tarasińska J. (2014): Normalization of Shapiro-Wilk test with known mean. Colloquium Biometricum 44: 35-41.
    Search in Google Scholar
  4. Kolmogorov A. (1933): Sulla derminazione empirica di una legge di distribuzione. Ist. Ital. Attuari G,4: 1-11.
    Search in Google Scholar
  5. Marsaglia G., Tsang W.W., Wang J. (2003): Evaluating Kolmogorov’s distribution. Journal of Statistical Software 8/18.
    Open DOISearch in Google Scholar
  6. Miller L.H. (1956): Table of percentage points of Kolmogorov statistics. J. Amer. Statist. Assoc. 51: 111-121.
    Search in Google Scholar
  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.
    Search in Google Scholar
  8. Rao C.R. (1948): Tests of significance in multivariate analysis. Biometrika 35: 58-79.
    Open DOISearch in Google Scholar
  9. Royston J.P. (1992): Approximating the Shapiro-Wilk W-test for non-normality. Statistics and Computing 2: 117-119.
    Open DOISearch in Google Scholar
  10. Shapiro S.S., Wilk M.B. (1965): An analysis of variance test for normality (complete samples). Biometrika 52: 591-611.
    Open DOISearch in Google Scholar
  11. Shapiro S.S., Wilk M.B. (1968): Approximations for the null distribution of the W statistic. Technometrics 10: 861-866.
    Open DOISearch in Google Scholar
  12. Stephens M.A. (1974): EDF statistics for goodness of fit and some comparisons. JASA, 69(347): 730-737.
    Open DOISearch in Google Scholar
  13. Thode H.C. (2002): Testing for normality. Marcel Dekker Inc.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.1515/bile-2015-0008 | Journal eISSN: 2199-577X (formerly 1896-3811) | Journal ISSN: 1896-3811
Journal RSS Feed
Language: English
Page range: 85 - 93
Published on: Dec 12, 2015
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
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)
Previous article
Next article