Fourth moment results for mrbp and related power performance

A permutation test for analysing randomized block data was proposed by Mielke and Iyer (1982). They obtained the first three exact moments of this test statistic and approximated its permutation distribution by the Pearson type III distribution. Tracy and Khan (1991) derived the fourth exact moment of this test statistic to obtain a better approximating distribution. Here we obtain the simplified form of the fourth moment result for some special cases of this test statistic. Empirical powers for four treatments are compared, using this additional information, with those based on the three moment results, after simulating data from some underlying populations.