Date of Award
Summer 6-23-2025
Degree Type
Thesis
Degree Name
Master of Science - Mathematical Sciences
Department
Mathematics and Statistics
First Advisor
Kent Riggs, PhD
Second Advisor
Jacob Turner, Ph.D
Third Advisor
Robert Henderson, Ph.D
Fourth Advisor
Donald Gooch, Ph.D
Abstract
This thesis explores constructing and evaluating confidence intervals for the difference and ratio of means from two independent Beta distributions using Maximum Likelihood Estimation (MLE) and the Wald method. It addresses the limitations of traditional methods due to the unique properties of Beta distributions. Extensive simulation studies assess interval performance based on coverage probability and Average width. The study aims to provide robust tools for statistical analysis in fields where Beta distributions are common, enhancing understanding and application of these methods in various scientific domains. Additionally, these confidence intervals will be applied to real biological data from a Morris Water Maze experiment, with recommendations for best practices.
Repository Citation
Ashong, Albert, "Confidence Intervals for the Difference and Ratio of Two Means from Independent Beta Distribution" (2025). Electronic Theses and Dissertations. 654.
https://scholarworks.sfasu.edu/etds/654
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
