| dc.contributor.author | Lin, Ying | |
| dc.description.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 Doptimal 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. | en_US |
| dc.publisher | North Dakota State University | en_US |
| dc.rights | NDSU Policy 190.6.2 | |
| dc.title | Testing Parallelism for the Four-Parameter Logistic Model with D-Optimal Design | en_US |
| dc.type | Thesis | en_US |
| dc.date.accessioned | 2018-08-03T14:08:59Z | |
| dc.date.available | 2018-08-03T14:08:59Z | |
| dc.date.issued | 2018 | en_US |
| dc.identifier.uri | https://hdl.handle.net/10365/28768 | |
| dc.identifier.orcid | 0000-0001-9692-4811 | |
| dc.rights.uri | https://www.ndsu.edu/fileadmin/policy/190.pdf | |
| ndsu.degree | Master of Science (MS) | en_US |
| ndsu.college | Science and Mathematics | en_US |
| ndsu.department | Statistics | en_US |
| ndsu.program | Applied Statistics | en_US |
| ndsu.advisor | Magel, Rhonda | |
