A FURTHER COMPARISON OF TWO-SAMPLE NONPARAMETRIC TESTS FOR DISPERISON I

various attempts have been made to construct nonparametric tests by authors such as Mood [9], Sukhatme [11], Freund and Ansari [7], Barton and David [4], Tamura [12], Siegel and Tukey [10], Capon [5], Klotz [8] and others. But as Klotz [8] has pointed out, there is (at least asymptotically) an equivalence in the sense of test statistics among the test of Freund-Ansari, Barton-David and Siegel-Turkey, and hence we shall restrict our consideration to the tests of Sukhatme, Tamura, Mood and Freund-Ansari, whose test statistics are given as follows. Let denote min (x, y) and max (x, y) by x Ay and x V y, respedtively. Sukhatme's T: 1 ni T1" = E E 46(xi, YJ)