Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region
Article first published online: 5 FEB 2009
© 2009, The International Biometric Society
Volume 65, Issue 4, pages 1279–1287, December 2009
How to Cite
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: 1279–1287. doi: 10.1111/j.1541-0420.2008.01192.x
- Issue published online: 23 NOV 2009
- Article first published online: 5 FEB 2009
- Received September 2007. Revised September 2008. Accepted September 2008.
- Confidence bands;
- Drug stability study;
- Hypotheses tests;
- Intersection–union test;
- QT/QTc studies;
- Simultaneous inference
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.