Journal of Statistical Theory and Practice

, Volume 2, Issue 1, pp 109–123 | Cite as

Sample Size for the One-Way Layout with One Fixed Factor for Ordered Categorical Data

  • Marie ŠimečkováEmail author
  • Dieter Rasch


The aim of the paper is to present sample size determination for the Kruskal-Wallis test. The sample size is determined to test the equality of any of the fixed factors in the model for given risks of the first and second kind and the smallest value of the non-centrality parameter. The method is based on the relative effect between the two extreme distributions and on the maxi-min size for the usual F-test.

AMS Subject Classification

62K25 62G10 


Design of experiment F-test Kruskal-Wallis test Wilcoxon test 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Brunner, E., Munzel, E., 2002. Nichtparametrische Datenanalyse — unverbundene Stichproben. Springer, Berlin.CrossRefGoogle Scholar
  2. Chakraborti, S., Hong, B., van de Wiel, M.A., 2006. A note on sample size determination for a nonparamet-ric test of location. Technometrics, 48, 88–94.MathSciNetCrossRefGoogle Scholar
  3. Lehmann, E.L., 1975. Nonparametrics: Statistical Methods Based on Ranks. Holden-Day, INC., San Francisco.zbMATHGoogle Scholar
  4. Noether, G.E., 1987. Sample size determination for some common nonparametric tests. Journal of the American Statistical Association 82, 645–647.MathSciNetCrossRefGoogle Scholar
  5. Rasch, D., 2003. Determining the optimal size of experiments and surveys in empirical research. Psychology Science, 45, 3–47.Google Scholar
  6. Rasch, D., Guiard, V., 2004. The robustness of parametric statistical methods. Psychology Science, 46, 175–208.Google Scholar
  7. Rasch, D., Šimečková, M., 2007. Determining the size of experiments for the one-way ANOVA model I for ordered categorical data. In Proceedings of the 8th International Workshop in Model-Oriented Design and Analysis, Almagro, Spain, June 4–8, 2007, Physica Verlag, Series: Contributions to Statistics.CrossRefGoogle Scholar

Copyright information

© Grace Scientific Publishing 2008

Authors and Affiliations

  1. 1.Institute of Animal Science, PřátelstviPragueCzechia
  2. 2.Institute of Applied Statistics and Computing, Gregor Mendel StraβeUniversity of Natural Resources and Applied Life SciencesViennaAustria

Personalised recommendations