Equivalence of regression curves sharing common parameters
- In clinical trials, the comparison of two different populations is a common problem. Nonlinear (parametric) regression models are commonly used to describe the relationship between covariates, such as concentration or dose, and a response variable in the two groups. In some situations, it is reasonable to assume some model parameters to be the same, for instance, the placebo effect or the maximum treatment effect. In this paper, we develop a (parametric) bootstrap test to establish the similarity of two regression curves sharing some common parameters. We show by theoretical arguments and by means of a simulation study that the new test controls its significance level and achieves a reasonable power. Moreover, it is demonstrated that under the assumption of common parameters, a considerably more powerful test can be constructed compared with the test that does not use this assumption. Finally, we illustrate the potential applications of the new methodology by a clinical trial example.
| Author: | Kathrin MöllenhoffORCiDGND, Frank BretzORCiDGND, Holger DetteORCiDGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-81762 |
| DOI: | https://doi.org/10.1111/biom.13149 |
| Parent Title (English): | Biometrics |
| Publisher: | Wiley |
| Place of publication: | Weinheim |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2021/06/23 |
| Date of first Publication: | 2019/09/13 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Tag: | dose‐finding studies; equivalence testing; nonlinear regression; parametric bootstrap; similarity of regression curves |
| Volume: | 76 |
| Issue: | 2 |
| First Page: | 518 |
| Last Page: | 529 |
| Note: | Dieser Beitrag ist auf Grund des DEAL-Wiley-Vertrages frei zugänglich. |
| Institutes/Facilities: | Lehrstuhl für Stochastik |
| Dewey Decimal Classification: | Naturwissenschaften und Mathematik / Mathematik |
| open_access (DINI-Set): | open_access |
| faculties: | Fakultät für Mathematik |
| Licence (English): |  Creative Commons - CC BY 4.0 - Attribution 4.0 International |
