Affiliations: [a] North Dakota State University, Fargo, ND, USA | [b] Johnson and Johnson Medical Devices, Irvine, CA, USA
Correspondence:
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Corresponding author: Ying Lin, North Dakota State University, 1722 10TH S N, Fargo, ND 58102, USA. Tel.: +1 218 331 6997; E-mail: [email protected].
Abstract: In order to determine the potency of the test preparation relative to the standard preparation, it is often important to test parallelism between a pair of dose-response curves of reference standard and test sample. Optimal designs are known to be more powerful in testing parallelism as compared to classical designs. In this study, D-optimal design was implemented to study the parallelism and compare+ its performance with a classical design. We modified D-optimal design to test the parallelism in the four-parameter logistic (4PL) model using Intersection-Union Test (IUT). IUT method is appropriate when the null hypothesis is expressed as a union of sets, and by using this method complicated tests involving several parameters are easily constructed. Since D-optimal design minimizes the variances of model parameters, it can bring more power to the IUT test. A simulation study will be presented to compare the empirical properties of the two different designs.
Keywords: D-optimal design, dose-response curves, intersection-union test, four-parameter logistic model
