A Modification on the Friedman Test Statistic

Abstract

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.

Keywords:

• Friedman test
• Hotelling T ² statistic

Mathematics Subject Classification:

• Primary 62G10
• Secondary 62F07