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Efficient directional inference methodologies for the comparisons of three ordered treatment effects

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), pp. 153-174.

Record type: Article


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


Local EPrints ID: 30108
PURE UUID: 27c36bda-83bd-4037-8265-b013dacf3988
ORCID for Wei Liu: ORCID iD

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Date deposited: 12 May 2006
Last modified: 17 Jul 2017 15:55

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Author: Anthony Hayter
Author: Tetsushisa Miwa
Author: Wei Liu ORCID iD

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