Date of Award
2014
Publisher
North Dakota State University
Document Type
Master's Paper
Degree Awarded
Master of Science (MS)
Program
Applied Statistics
Department
Statistics
College
Science and Mathematics
Faculty Advisor
Hyun, Seung Won
Description
In toxicology studies, dose response functions with a downturn at higher doses are often observed. For such response functions, researchers often want to see if the downturn of the response is signifcant. A probit model with a quadratic term is adopted to demonstrate the dose response with a downturn. Under the probit model, we obtain optimal designs to study the signifcance of the downturn and their efficiencies are compared. Our approach identites the upper bound of the number of optimal design points and searches for the optimal design numerically based on the upper bound.
Recommended Citation
Liu, Ruifeng, "Ds-Optimal Design for Model Discrimination in a Probit Model" (2014). Statistics. 17.
https://digitalcommons.ndsu.edu/stats/17
Rights
NDSU Policy 190.6.2
Rights Link
https://www.ndsu.edu/fileadmin/policy/190.pdf
Handle Identifier
https://hdl.handle.net/10365/23133