TY - JOUR

T1 - On testing the bioequivalence of several treatments using the measure of distance

AU - Chen, Hubert J.

AU - Wen, Miin Jye

AU - Wang, Andrew Minglong

N1 - Funding Information:
The authors wish to express their sincere thanks to the editor and reviewers for their careful reading and valuable suggestions. This research was supported by the National Science Council NSC 95-2118-M-006-001 and NSC 96-2118-M-006-001, Taiwan, 2006–2007.

PY - 2009/10

Y1 - 2009/10

N2 - A studentized range test is proposed to test the hypothesis of bioequivalence of normal means in terms of a standardized distance among means. A least favourable configuration (LFC) of means to guarantee the maximum level at a null hypothesis and an LFC of means to guarantee the minimum power at an alternative hypothesis are obtained. This level and power of the test are fully independent of the unknown means and variances. For a given level, the critical value of the test under a null hypothesis can be determined. Furthermore, if the power under an alternative is also required at a given level, then both the critical value and the required sample size for an experiment can be simultaneously determined. In situations where the common population variance is unknown and the bioequivalence is the actual distance between means without standardization, a two-stage sampling procedure can be employed to find these solutions.

AB - A studentized range test is proposed to test the hypothesis of bioequivalence of normal means in terms of a standardized distance among means. A least favourable configuration (LFC) of means to guarantee the maximum level at a null hypothesis and an LFC of means to guarantee the minimum power at an alternative hypothesis are obtained. This level and power of the test are fully independent of the unknown means and variances. For a given level, the critical value of the test under a null hypothesis can be determined. Furthermore, if the power under an alternative is also required at a given level, then both the critical value and the required sample size for an experiment can be simultaneously determined. In situations where the common population variance is unknown and the bioequivalence is the actual distance between means without standardization, a two-stage sampling procedure can be employed to find these solutions.

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U2 - 10.1080/02331880802497447

DO - 10.1080/02331880802497447

M3 - Article

AN - SCOPUS:70349583863

SN - 0233-1888

VL - 43

SP - 513

EP - 530

JO - Statistics

JF - Statistics

IS - 5

ER -