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A New Non-Parametric Test For Umbrella Alternatives, Gilbert Ngwa Muma
A New Non-Parametric Test For Umbrella Alternatives, Gilbert Ngwa Muma
Dissertations
The Mann-Whitney statistics have commonly been used as a building block for many tests involving ordered and umbrella alternatives. Such tests are based on pair wise information that is obtained from all Ck 2 pairs of samples. This dissertation introduces a new nonparametric test for testing umbrella alternatives in a completely randomized one way design. This test is based on information obtained from a subset of the Ck 3 trios of samples. Unlike most existing tests for umbrella alternatives, the new test lays emphasis on the importance of testing across the peak of the umbrella, thereby rendering the new test …