Assessing nonsuperiority, noninferiority, or equivalence when comparing two regression models over a restricted covariate region
Assessing nonsuperiority, noninferiority, or equivalence when comparing two regression models over a restricted covariate region
In many scientific problems the purpose of the comparison of two regression models, which describe the relationship between a same response variable and several same covariates for two different groups, is to demonstrate that one model is no higher than the other by a negligible amount, or to demonstrate that the models have only negligible differences and so they can be regarded as describing practically the same relationship between the response variable and the covariates.
In this article, methods based on one-sided pointwise confidence bands are proposed for assessing the nonsuperiority of one model to the other and for assessing the equivalence of two regression models. Examples from QT/QTc study and from drug stability study are used to illustrate the methods.
confidence bands, drug stability study, equivalence, F-tests, hypotheses tests, intersection-union test, nonsuperiority, noninferiority, QT/QTc studies, regression, simultaneous inference
1279-1287
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
Bretz, F.
51270819-e491-4a72-a410-679d86231e64
Hayter, A. J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
Wynn, H. P.
c405c30d-ddb9-4f2b-8ab4-2b1ffd78fea6
December 2009
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
Bretz, F.
51270819-e491-4a72-a410-679d86231e64
Hayter, A. J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
Wynn, H. P.
c405c30d-ddb9-4f2b-8ab4-2b1ffd78fea6
Liu, W., Bretz, F., Hayter, A. J. and Wynn, H. P.
(2009)
Assessing nonsuperiority, noninferiority, or equivalence when comparing two regression models over a restricted covariate region.
Biometrics, 65 (4), .
(doi:10.1111/j.1541-0420.2008.01192.x).
Abstract
In many scientific problems the purpose of the comparison of two regression models, which describe the relationship between a same response variable and several same covariates for two different groups, is to demonstrate that one model is no higher than the other by a negligible amount, or to demonstrate that the models have only negligible differences and so they can be regarded as describing practically the same relationship between the response variable and the covariates.
In this article, methods based on one-sided pointwise confidence bands are proposed for assessing the nonsuperiority of one model to the other and for assessing the equivalence of two regression models. Examples from QT/QTc study and from drug stability study are used to illustrate the methods.
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Published date: December 2009
Keywords:
confidence bands, drug stability study, equivalence, F-tests, hypotheses tests, intersection-union test, nonsuperiority, noninferiority, QT/QTc studies, regression, simultaneous inference
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Statistics
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Local EPrints ID: 146023
URI: http://eprints.soton.ac.uk/id/eprint/146023
PURE UUID: 893c16cc-55c6-45ff-9f60-5204ff411dcf
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Date deposited: 20 Apr 2010 11:48
Last modified: 14 Mar 2024 02:35
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Author:
F. Bretz
Author:
A. J. Hayter
Author:
H. P. Wynn
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