Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects
Somerville, Paul, Miwa, Tetsuhisa, Liu, Wei and Hayter, Anthony J. (2001) Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects. Biometrical Journal, 43, (5), 533-542. (doi:10.1002/1521-4036(200109)43:5<533::AID-BIMJ533>3.0.CO;2-V).
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Lee and Spurrier (1995) present one-sided and two-sided confidence interval procedures for making successive comparisons between ordered treatments. Their procedures have important applications for problems where the treatments can be assumed to satisfy a simple ordering, such as for a sequence of increasing dose-levels of a drug. The two-sided procedure provides both upper and lower bounds on the differences between successive treatments, whereas the one-sided procedure only provides lower bounds on these differences. However, the one-sided procedure allows sharper inferences regarding which treatments can be declared to be better than their previous ones. In this paper we apply the results obtained in Hayter, Miwa, and Liu (2000) to develop a new procedure which combines the good aspects of both the one-sided and the two-sided procedures. This new procedure maintains the inferential sensitivity of the one-sided procedure while also providing both upper and lower bounds on the differences between successive treatments. Some new critical points are needed which are tabulated for the balanced case where the sample sizes are all equal. The application of the new procedure is illustrated with an example.
|Keywords:||critical points, directional decisions, multivariate-t distribution, ordered inference, pairwise comparisons, simultaneous confidence intervals|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Statistics
|Date Deposited:||11 May 2006|
|Last Modified:||01 Jun 2011 06:37|
|Contributors:||Somerville, Paul (Author)
Miwa, Tetsuhisa (Author)
Liu, Wei (Author)
Hayter, Anthony J. (Author)
|Contact Email Address:||W.Liu@maths.soton.ac.uk|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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