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On Testing the Mean Equivalence of Treatments from Correlated Normal Populations |
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| Authors: | Hubert J. Chen Pei-Chi Shao Wen-Gine Wang |
| Affiliation: | 1. Department of Statistics, The University of Georgia, Athens, Georgia, USA;2. Department of Aviation and Maritime Transportation Management, Chang Jung Christian University, Tainan, Taiwan;3. Institute of Finance, National Cheng Kung University, Tainan, Taiwan |
| Abstract: | Let there be k equally correlated treatment populations under consideration, a Studentized range test is proposed to test the hypothesis of average mean equivalence against the alternative hypothesis of inequivalence. The maximum level and minimum power at some least favorable configurations of means are used to calculate the critical value and the required sample size simultaneously when testing a null against an alternative hypothesis. The range test is applied to a real world problem to find out if the stress levels among children at four time periods due to a newly built nearby airport are equivalent. |
| Keywords: | Least favorable configuration (LFC) Level and power Studentized range test |