Abstract
AbstractFor the c‐sample location problem with umbrella alternatives we present a modification of a test proposed by BARLOW et al. (1972) for trend alternatives. Furthermore, we study a rank version of this modified test following a proposal of CONOVER and IMAN (1981). These tests are compared with the test of MACK and WOLFE (1978) and with some so called Mack‐Wolfe‐type tests in which the Mann‐Whitney statistics are replaced by other two‐sample linear rank statistics. The comparison is referred to the power of the test assuming a broad range of distributions. It will be shown firstly, that for nonnormal data there are tests with higher power than the modification of the test of Barlow et al. and secondly, that for a special distribution there is a Mack‐Wolfe‐type test which is more efficient than is competitors. We also consider the case of unknown peak.
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