Abstract
The Mack-Wolfe test is the most common nonparametric test used for testing whether k location parameters are equal or if they follow an umbrella pattern. This paper develops a nonparametric test to test the same set of hypotheses based on the Spearman correlation coefficient. A Monte-Carlo simulation study is conducted to compare the estimated powers of the proposed test with the Mack-Wolfe test, as well as the Alvo test for 3, 4 and 5 populations. The study finds that when larger sample sizes are associated with smaller jumps, the proposed test has higher power than the Mack-Wolfe and Alvo tests.
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