scholarly journals The Construction of Locally D-Optimal Designs by Canonical Forms to an Extension for the Logistic Model

2014 ◽  
Vol 05 (05) ◽  
pp. 824-831
Author(s):  
Irene García Camacha Gutiérrez ◽  
Raúl Martín Martín
Keyword(s):  
Logistic Model ◽  
Optimal Designs ◽  
Canonical Forms

scholarly journals Testing parallelism for the four-parameter logistic model with D-optimal design

2020 ◽  
Vol 15 (3) ◽  
pp. 273-284
Author(s):  
Lin Ying ◽  
Hyun Seung Won
Keyword(s):  
Optimal Design ◽  
Logistic Model ◽  
Test Preparation ◽  
Test Sample ◽  
Optimal Designs ◽  
Model Parameters ◽  
Reference Standard ◽  
Response Curves ◽  
Classical Design ◽  
Intersection Union Test

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.

Optimal designs for the power logistic model

2004 ◽  
Vol 74 (11) ◽  
pp. 779-791 ◽  
Author(s):  
Joy King ◽  
Weng Kee Wong
Keyword(s):  
Logistic Model ◽  
Optimal Designs

Minimax D-Optimal Designs for the Logistic Model

Biometrics ◽  
2000 ◽  
Vol 56 (4) ◽  
pp. 1263-1267 ◽  
Author(s):  
Joy King ◽  
Weng-Kee Wong
Keyword(s):  
Logistic Model ◽  
Optimal Designs
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