Simultaneous confidence interval estimation for successive comparisons of ordered treatment effects.
Simultaneous confidence interval estimation for successive comparisons of ordered treatment effects.
Lee and Spurrier (J. Statist. Plann. Inference 43 (1995) 323–330) present a new procedure for making successive comparisons between ordered treatments. Their procedure has 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. In this paper we provide some additional work on their procedure. Specifically, we illustrate how a recursive computational approach can be used to calculate the critical points required by the procedure for any number of treatment levels. We also show how the procedure can be extended to provide information on larger sets of contrasts of the treatment effects. The application of the procedure is illustrated with an example.
contrasts, critical points, multivariate-t distribution, ordered inference, pairwise comparisons, recursive integration, simultaneous confidence intervals
75-86
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
Miwa, Tetsuhisa
cb4e7293-e076-437a-b31c-b5dd6c6a3b4a
Hayter, A.J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
2000
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
Miwa, Tetsuhisa
cb4e7293-e076-437a-b31c-b5dd6c6a3b4a
Hayter, A.J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
Liu, Wei, Miwa, Tetsuhisa and Hayter, A.J.
(2000)
Simultaneous confidence interval estimation for successive comparisons of ordered treatment effects.
Journal of Statistical Planning and Inference, 88 (1), .
(doi:10.1016/S0378-3758(99)00209-8).
Abstract
Lee and Spurrier (J. Statist. Plann. Inference 43 (1995) 323–330) present a new procedure for making successive comparisons between ordered treatments. Their procedure has 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. In this paper we provide some additional work on their procedure. Specifically, we illustrate how a recursive computational approach can be used to calculate the critical points required by the procedure for any number of treatment levels. We also show how the procedure can be extended to provide information on larger sets of contrasts of the treatment effects. The application of the procedure is illustrated with an example.
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Published date: 2000
Keywords:
contrasts, critical points, multivariate-t distribution, ordered inference, pairwise comparisons, recursive integration, simultaneous confidence intervals
Organisations:
Statistics
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Local EPrints ID: 30099
URI: http://eprints.soton.ac.uk/id/eprint/30099
ISSN: 0378-3758
PURE UUID: d52e0a47-8ecb-4cca-be4a-be62a7090513
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Date deposited: 20 Jul 2006
Last modified: 16 Mar 2024 02:42
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Author:
Tetsuhisa Miwa
Author:
A.J. Hayter
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