Comparing the performance of nonparametric tests for equality of location against ordered alternatives

摘要

This study evaluated the performance of 8 tests that are found to be better than others in the previous simulation studies for some subset of proposed tests. As an innovation, in order to determine which design factor was more effective on the power values and which test was appropriate for which design, a decision tree was established. If there is a prior knowledge of the shape of ordered alternative, the Adaptive Test for the linear ordered alternative, and the Shan's S test for the convex ordered alternative, is recommended. However, the Terpstra-Page test is proposed for the concave ordered alternatives.