Selecting closest to a control
Selecting closest to a control
Consider the usual one-way fixed effect analysis of variance model where the populations ?i(I = 0, 1, . . . , k) have independent normal distributions with unknown means and common unknown variance. Let ?0 be a control population with which the other (treatment) populations are to be compared. The basic problem is to select the treatment that is closest to the control mean. This situation occurs when one of the ?i must be chosen, regardless of how many are equivalent to the control in the sense of having means sufficiently close. This paper follows the approach of Hsu (1996) and is based on a set of simultaneous confidence intervals. It provides a table of critical values which allows direct implementation of the new inference procedure. The applications given are of the balanced cross-over design type with negligible carry-over effects, for which the results of this paper may be used. One of the applications refers to the selection of a drug, which may not be bioequivalent to a reference formulation but is the closest of those drugs that are readily available to the group of patients considered.
bioequivalence, cross-over, equivalence, relative bioavailability, selection, simultaneous confidence intervals, subset selection
421-430
Bofinger, E.
e4861338-0204-483a-b07a-22b9a510934f
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
2001
Bofinger, E.
e4861338-0204-483a-b07a-22b9a510934f
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
Bofinger, E. and Liu, W.
(2001)
Selecting closest to a control.
Australian & New Zealand Journal of Statistics, 43 (4), .
Abstract
Consider the usual one-way fixed effect analysis of variance model where the populations ?i(I = 0, 1, . . . , k) have independent normal distributions with unknown means and common unknown variance. Let ?0 be a control population with which the other (treatment) populations are to be compared. The basic problem is to select the treatment that is closest to the control mean. This situation occurs when one of the ?i must be chosen, regardless of how many are equivalent to the control in the sense of having means sufficiently close. This paper follows the approach of Hsu (1996) and is based on a set of simultaneous confidence intervals. It provides a table of critical values which allows direct implementation of the new inference procedure. The applications given are of the balanced cross-over design type with negligible carry-over effects, for which the results of this paper may be used. One of the applications refers to the selection of a drug, which may not be bioequivalent to a reference formulation but is the closest of those drugs that are readily available to the group of patients considered.
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Published date: 2001
Keywords:
bioequivalence, cross-over, equivalence, relative bioavailability, selection, simultaneous confidence intervals, subset selection
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Statistics
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Local EPrints ID: 30104
URI: http://eprints.soton.ac.uk/id/eprint/30104
ISSN: 1369-1473
PURE UUID: e8187521-ead3-4817-9067-0b4e8e4b136b
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Date deposited: 12 May 2006
Last modified: 09 Jan 2022 02:41
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Author:
E. Bofinger
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