Efficient directional inference methodologies for the comparisons of three ordered treatment effects
Efficient directional inference methodologies for the comparisons of three ordered treatment effects
We consider the unbalanced one-way layout for comparing 3 treatment effects which can be assumed to satisfy the simple ordering m1 m2 m3. This problem arises often in the comparison of three dose levels in medical trials, for example. The one-sided studentised range test provides a set of simultaneous confidence intervals for the ordered pairwise differences mj - mi, i < j which are one-sided and have infinite upper bounds. The new confidence interval procedure proposed in this article maintains the sensitivity of the one-sided studentised range test in detecting each of the ordered differences mj - mi > 0 while at the same time providing two-sided finite confidence intervals. Consequently, this new procedure has the advantage of allowing the same directional inferences as the one-sided studentised range test while additionally providing upper bounds on the differences among the treatment effects.
analysis of variance, bioassay, directional errors, medical trials, multiple comparisons, simultaneous inference, order restricted inference, experimentwise error rate
153-174
Hayter, Anthony
ce0afda9-fdbb-4dc4-8b86-7c71dfadbf47
Miwa, Tetsushisa
5a1ff6eb-de2d-42ad-b59c-023e824966c2
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
2001
Hayter, Anthony
ce0afda9-fdbb-4dc4-8b86-7c71dfadbf47
Miwa, Tetsushisa
5a1ff6eb-de2d-42ad-b59c-023e824966c2
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
Hayter, Anthony, Miwa, Tetsushisa and Liu, Wei
(2001)
Efficient directional inference methodologies for the comparisons of three ordered treatment effects.
Journal of the Japan Statistical Society, 31 (2), .
Abstract
We consider the unbalanced one-way layout for comparing 3 treatment effects which can be assumed to satisfy the simple ordering m1 m2 m3. This problem arises often in the comparison of three dose levels in medical trials, for example. The one-sided studentised range test provides a set of simultaneous confidence intervals for the ordered pairwise differences mj - mi, i < j which are one-sided and have infinite upper bounds. The new confidence interval procedure proposed in this article maintains the sensitivity of the one-sided studentised range test in detecting each of the ordered differences mj - mi > 0 while at the same time providing two-sided finite confidence intervals. Consequently, this new procedure has the advantage of allowing the same directional inferences as the one-sided studentised range test while additionally providing upper bounds on the differences among the treatment effects.
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Published date: 2001
Keywords:
analysis of variance, bioassay, directional errors, medical trials, multiple comparisons, simultaneous inference, order restricted inference, experimentwise error rate
Organisations:
Statistics
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Local EPrints ID: 30108
URI: http://eprints.soton.ac.uk/id/eprint/30108
PURE UUID: 27c36bda-83bd-4037-8265-b013dacf3988
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Date deposited: 12 May 2006
Last modified: 12 Dec 2021 02:43
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Author:
Anthony Hayter
Author:
Tetsushisa Miwa
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