Abstract
A studentized range test is proposed to test the hypothesis of average equivalence of treat- ments in terms of the distance between means against the alternative hypothesis of in- equivalence. A least favorable configuration (LFC) of means to guarantee the maximum level at a null hypothesis and a LFC of means to guarantee the minimum power at an al- ternative hypothesis are obtained. The level and power of the test are fully independent of the unknown means and variances. For a given level and a given power, the critical value and the required sample size for an experiment can be simultaneously determined, and the tables of critical values and sample sizes are provided for practitioners. A real numeri- cal example to demonstrate the use of the test procedure is provided. In situations where the common population variance is unknown and the equivalence is the actual distance be- tween means without standardization, a two-stage sampling procedure can be employed to find these solutions. It proves to be a quite feasible solution for practitioners.
Original language | English |
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Pages (from-to) | 603-614 |
Number of pages | 12 |
Journal | Computational Statistics and Data Analysis |
Volume | 55 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2011 Jan 1 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics