Likelihood Ratio Tests for the Non Equivalence of Means

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/64131

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/64131

Title:	Likelihood Ratio Tests for the Non Equivalence of Means
Authors:	Chen, Shun-Yi;Hsu, Ching-Feng
Contributors:	淡江大學數學學系
Keywords:	Bioequivalence hypothesis;Composite hypothesis;Coverage probability;Interval hypotheses;Range statistic
Date:	2011
Issue Date:	2011-10-20 12:44:51 (UTC+8)
Publisher:	Philadelphia: Taylor & Francis Inc.
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.
Relation:	Communications in Statistics - Simulation and Computation 40(6), pp.818-838
DOI:	10.1080/03610918.2011.556290
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

Files in This Item:

File	Size	Format
index.html	0Kb	HTML	218	View/Open
index.html	0Kb	HTML	73	View/Open
Likelihood Ratio Tests for the Non Equivalence of Means.pdf	328Kb	Adobe PDF	1	View/Open