On the combination of the sign and Maesono tests for simmetry and its efficiency

G. Burgio & Ya. Yu. Nikitin
We propose a new test for the simmetry hypothesis which is a combination of the sign statistic and the Wr Maesono statistic. The latter generalizes the Wilcoxon statistic and coincides with it for r = 2. The proposed statistic belongs to the class of non-degenerate U-statistics and hence it has asymptotically normal distribution. We calculate its Pitman efficacy and compare it with the t-test. For instance, in the normal case, for r=4, the new test,...