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Generalizations of Mathisen's median test for comparing several treatments with a control |
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| Authors: | S. Chakraborti M. M. Desu |
| Affiliation: | 1. Department of Managemant Science and Statistics , University of Alabama , Tuscaloosa, AL, 35487;2. Department of Statistics , State University of New York at Buffalo , Buffalo, NY, 14261 |
| Abstract: | A distribution-free test for comparing several treatments with a control is proposed for one-way classified data. It is advantageous to use the test in life-testing experiments where testing time is expensive. The proposed test has a shorter expected duration than a previously proposed test by Slivka(1970). The optimal allocation of the experimental units to the treatments for two situations are given. In a simulation study the power of the test is compared with the power of Slivka's test. An extension of the test for two-way classified data is given |
| Keywords: | Treatments versus control Median test Distribution-free test Allocation Expected duration Simulation |