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Activity Number:
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28
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Type:
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Contributed
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Date/Time:
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Sunday, August 6, 2006 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Statistical Computing
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| Abstract - #305394 |
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Title:
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On Testing the Bioequivalence of Several Treatments Using the Measure of Distance
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Author(s):
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Hubert Chen*+ and Miin-Jye Wen
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Companies:
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National Cheng Kung University and National Cheng Kung University
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Address:
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1 University Road, Tainan , 70101, Taiwan
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Keywords:
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studentized range ; bioequivalence ; least favorable ; level and power ; two-stage procedure ; quadrature
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Abstract:
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A studentized range test based on k (k being larger than two) random samples is proposed to test the hypothesis of equivalence of treatment means in terms of the standardized distance among means. A least favorable configuration (LFC) of the means to guarantee the maximum level at the null hypothesis and a LFC of the means to guarantee the minimum power at an alternative hypothesis are obtained. The level and power of the test are fully independent of the unknown means and variances at their corresponding LFCs. For a given level and power, both the critical values and the required experimental sample sizes can be determined. In situations where the common population variance is unknown, and if the measure of bioequivalence is considered to be purely the distance of normal means, a two-stage sampling procedure can be employed to find the needed solutions.
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