TY - JOUR
T1 - On testing the equivalence of treatments using the measure of range
AU - Chen, Hubert J.
AU - Wen, Miin Jye
AU - Chuang, Chia Jui
PY - 2011/1/1
Y1 - 2011/1/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/77958038357
UR - https://www.scopus.com/inward/citedby.url?scp=77958038357&partnerID=8YFLogxK
U2 - 10.1016/j.csda.2010.06.002
DO - 10.1016/j.csda.2010.06.002
M3 - Article
AN - SCOPUS:77958038357
SN - 0167-9473
VL - 55
SP - 603
EP - 614
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
IS - 1
ER -