A modification on the friedman test statistic

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A modification on the well-known, nonparametric Friedman test statistic is suggested in this article. Probability distributions of the suggested test statistic under the null hypothesis are tabulated for some small sample cases. In addition to an example, simulation results for various sample sizes are presented. The simulation indicates that the modified test statistic performs better than the Friedman test in detecting treatment effects of small differences especially when the sample size is small.

Original languageEnglish
Pages (from-to)783-790
Number of pages8
JournalCommunications in Statistics Part B: Simulation and Computation
Issue number4
StatePublished - Jul 2007


  • Friedman test
  • Hotelling T statistic


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