Assessing Nonsuperiority,Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region |
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| Authors: | W. Liu F. Bretz A. J. Hayter H. P. Wynn |
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| Affiliation: | 1. S3RI and School of Mathematics, University of Southampton, Southampton, U.K.;2. Novartis Pharma AG, Basel, Switzerland and Department of Biometry, Medical University of Hannover, 30623 Hannover, Germany;3. Department of Statistics and Operations Technology, University of Denver, U.S.A.;4. Department of Statistics, London School of Economics, London, U.K. |
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| Abstract: | Summary 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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| 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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