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In this study, a nonparametric new test is proposed to test the hypothesis of equality of
locations against umbrella alternatives. The Shan test for ordered alternatives is adapted to the
umbrella alternatives. This test can be considered as an extension of the sign test and the Wilcoxon
signed rank test. By a comprehensive simulation study, the proposed test is compared with the
Mack-Wolfe and Hettmansperger and Norton tests in terms of type I error rate and power. The
simulation results showed that all tests ensured the Bradley's robustness criteria for type I error
rate. The power comparison results indicated that the proposed test gives better results than the
other tests.
International Data Science & Engineering Symposium
IDSES
Bülent ALTUNKAYNAK
Hamza GAMGAM
Merve BAĞÇACI