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Likelihood Ratio Tests for the Non Equivalence of Means
Authors:Shun-Yi Chen  Ching-Feng Hsu
Institution:1. Department of Mathematics , Tamkang University , Tamsui , Taiwan sychen@mail.tku.edu.tw;3. Department of Mathematics , Tamkang University , Tamsui , Taiwan
Abstract:We derive likelihood ratio (LR) tests for the null hypothesis of equivalence that the normal means fall into a practical indifference zone. The LR test can easily be constructed and applied to k ≥ 2 treatments. Simulation results indicate that the LR test might be slightly anticonservative statistically, but when the sample sizes are large, it always produces the nominal level for mean configurations under the null hypothesis. More powerful than the studentized range test, the LR test is a straightforward application that requires only current existing statistical tables, with no complicated computations.
Keywords:Bioequivalence hypothesis  Composite hypothesis  Coverage probability  Interval hypotheses  Range statistic
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