A rank test for stochastically ordered alternatives |
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| Authors: | Girish Aras S Rao Jammalamadaka Mohammad Kafai |
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| Institution: | Statistics and Applied Probability Program , University of California , Santa Barbara, Santa Barbara, CA, 93106 |
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| Abstract: | A rank test based on the number of ‘near-matches’ among within-block rankings is proposed for stochastically ordered alternatives in a randomized block design with t treatments and b blocks. The asymptotic relative efficiency of this test with respect to the Page test is computed as number of blocks increases to infinity. A sequential analog of the above test procedure is also considered. A repeated significance test procedure is developed and average sample number is computed asymptotically under the null hypothesis as well as under a sequence of contiguous alternatives. |
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| Keywords: | rank test near-match repeated significance test contiguous alternatives asymptotic relative efficiency stochastically ordered |
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