Date of Award

2015

Publisher

North Dakota State University

Document Type

Thesis

Degree Awarded

Master of Science (MS)

Program

Statistics

Department

Statistics

College

Science and Mathematics

Faculty Advisor

Hyun, Seung Won

Description

The Optimal designs used in a clinical trial depends on the goals of the study. Common goals are estimating model parameters and choosing between models. D-optimal designs are used when the goal is to estimate the model parameters. This is achieved by maximizing the determinant of the information matrix. When the goal is model discrimination, T-optimal designs are used. The design is optimal when the minimum difference between the models is maximized. Generally, D-optimal designs are not efficient when the goal is model discrimination and T-optimal designs perform poorly when the goal is parameter estimation. However, because D-optimal and T-optimal designs have a common criterion structure, they can be combined into a new design called a DT-optimal design. DT-optimal designs provide a balance between parameter estimation and model discrimination. The efficiency of DT-optimal designs relative to D and T-optimal designs shows that they work for parameter estimation and model discrimination.

Rights

NDSU Policy 190.6.2

Rights Link

https://www.ndsu.edu/fileadmin/policy/190.pdf

Handle Identifier

https://hdl.handle.net/10365/27904

Download

Share

COinS