Assessment of nonlinear dose–response relationships via nonparametric regression

ABSTRACT

We propose a simple approach to assess whether a nonlinear parametric model is appropriate to depict the dose–response relationships and whether two parametric models can be applied to fit a dataset via nonparametric regression. The proposed approach can compensate for the ANOVA, which is sometimes conservative, and is very easy to implement. We illustrate the performance by analyzing experimental examples and a small simulation study.

KEYWORDS:

• ANOVA
• biphasic/two-phase
• four/five parametric logistic models
• goodness-of-fit
• IC50
• non-monotonic curve

Acknowledgements

The authors thank Dr Di Veroli for sharing the CCLE datasets. They would also like to thank one Associate Editor and two referees for their insightful suggestions and comments that have greatly improved an earlier version of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The author(s) reported that there is no funding associated with the work featured in this article.