Date of Award
12-2021
Degree Type
Thesis
Degree Name
Master of Science in Natural Science
Department
Mathematics and Statistics
First Advisor
Kent Riggs, PhD
Second Advisor
Jacob Turner, Phd
Third Advisor
Robert Henderson, Phd
Fourth Advisor
Lindsay Porter, Phd
Abstract
Statistical inference for the mean of a beta distribution has become increasingly popular in various fields of academic research. In this study, we developed a novel statistical model from likelihood-based techniques to evaluate various confidence interval techniques for the mean of a beta distribution. Simulation studies will be implemented to compare the performance of the confidence intervals. In addition to the development and study involving confidence intervals, we will also apply the confidence intervals to real biological data that was gathered by the Department of Biology at Stephen F. Austin State University and provide recommendations on the best practice.
Repository Citation
Rangel, Sean, "Confidence Interval for the Mean of a Beta Distribution" (2021). Electronic Theses and Dissertations. 427.
https://scholarworks.sfasu.edu/etds/427
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Included in
Applied Statistics Commons, Biostatistics Commons, Other Statistics and Probability Commons, Statistical Models Commons, Statistical Theory Commons
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