Confidence Interval for the Mean of a Beta Distribution

<p>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. </p>

Name thesis:degree_name

Master of Science in Natural Science

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics and Statistics

Year dc:date.available

2021

Author dc:creator

• Rangel, Sean

Contributors dc:contributor

• Kent Riggs, PhD
• Jacob Turner, Phd
• Robert Henderson, Phd

• Beta Distribution
• Confidence Interval
• Inference
• Mean
• Applied Statistics
• Biostatistics
• Other Statistics and Probability
• Statistical Models
• Statistical Theory

Repository record dc:identifier

https://scholarworks.sfasu.edu/etds/427

OAI identifier oai:identifier

oai:scholarworks.sfasu.edu:etds-1459