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Simulated Power Comparisons of MRBP Rank Tests for Three Treatments

In: Computing Science and Statistics

Author

Listed:
  • Khushnood A. Khan

    (University of Windsor, Department of Mathematics and Statistics)

  • Derrick S. Tracy

    (University of Windsor, Department of Mathematics and Statistics)

Abstract

In order to analyze multivariate data for the randomized block design, a test based on permutation procedures was introduced by Mielke and Iyer (1982). Under the null hypothesis of no difference in the treatment effects, the distribution of this test statistic assigns equal probabilities to all possible permutations. When the number of blocks is large, this approach becomes unreasonable. In order to approximate its distribution, they obtained the first three moments of this test statistic under the null hypothesis. Due to negative skewness, the distribution of this test statistic was approximated by the Pearson type III distribution. We obtain the fourth moment of this test statistic for the case of three treatments and obtain a better approximating distribution. Then, we compare the power performance of this test based on this additional information with that based on three moment results for simulated samples from several underlying populations.

Suggested Citation

  • Khushnood A. Khan & Derrick S. Tracy, 1992. "Simulated Power Comparisons of MRBP Rank Tests for Three Treatments," Springer Books, in: Connie Page & Raoul LePage (ed.), Computing Science and Statistics, pages 392-396, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2856-1_61
    DOI: 10.1007/978-1-4612-2856-1_61
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