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2015 | 52 | 2 | 85-93
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Wydawca
Czasopismo
Rocznik
Tom
52
Numer
2
Strony
85-93
Opis fizyczny
Daty
wydano
2015-12-01
online
2015-12-12
Twórcy
autor
  • Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Głęboka 28, 20-612 Lublin, Poland, zofia.hanusz@up.lublin.pl
  • Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Głęboka 28, 20-612 Lublin, Poland, joanna.tarasinska@up.lublin.pl
Bibliografia
  • Birnbaum Z.W. (1952): Numerical tabulation of the distribution of Kolmogorov’s statistic for finite sample size. J. Amer. Statist. Assoc. 47: 425-44.[Crossref]
  • Johnson N.L. (1949): Systems of frequency curves generated by methods of translation. Biometrika 36: 149-176.[Crossref]
  • Hanusz Z., Tarasińska J. (2014): Normalization of Shapiro-Wilk test with known mean. Colloquium Biometricum 44: 35-41.
  • Kolmogorov A. (1933): Sulla derminazione empirica di una legge di distribuzione. Ist. Ital. Attuari G,4: 1-11.
  • Marsaglia G., Tsang W.W., Wang J. (2003): Evaluating Kolmogorov’s distribution. Journal of Statistical Software 8/18.
  • Miller L.H. (1956): Table of percentage points of Kolmogorov statistics. J. Amer. Statist. Assoc. 51: 111-121.[Crossref]
  • 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.
  • Rao C.R. (1948): Tests of significance in multivariate analysis. Biometrika 35: 58-79.[Crossref]
  • Royston J.P. (1992): Approximating the Shapiro-Wilk W-test for non-normality. Statistics and Computing 2: 117-119.[Crossref]
  • Shapiro S.S., Wilk M.B. (1965): An analysis of variance test for normality (complete samples). Biometrika 52: 591-611.[Crossref]
  • Shapiro S.S., Wilk M.B. (1968): Approximations for the null distribution of the W statistic. Technometrics 10: 861-866.[Crossref]
  • Stephens M.A. (1974): EDF statistics for goodness of fit and some comparisons. JASA, 69(347): 730-737.
  • Thode H.C. (2002): Testing for normality. Marcel Dekker Inc.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_bile-2015-0008
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