Date of Award
11-18-2021
Document Type
Thesis
Degree Name
Mathematics, MS
First Advisor
Hong Zhou
Committee Members
Ferebee Tunno; Mohamed Milad
Call Number
LD 251 .A566t 2021 Z44
Abstract
Multiple comparison tests are quite prevalent in clinical trials to increase efficiency and the chance of finding treatment or drug effects. However, making multiple comparisons will lead to the potential inflation of the Type I error rate. How well one test procedure controls the rate of false-positive conclusions becomes the main concern nowadays. A novel method named Covering Principle has been proposed recently. It provides a new approach to designing multiple testing procedures from the angle of rejection regions in the sample space, rather than in the parameter space, which uses in the methods based on the closed testing and partitioning principle. This paper presented several cases studies and a simulation study using Holm’s, Fixed and Fallback based on the Covering Principle. Meanwhile, the power comparison results between the Covering Principle and the graphical method are exhibited and analyzed in this paper.
Rights Management
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Zhang, Yu, "Applications And Power Analyzation of New Multiple Testing Procedures Based on Covering Principle" (2021). Student Theses and Dissertations. 285.
https://arch.astate.edu/all-etd/285
