Date of Award
5-4-2007
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Gengsheng Qin - Chair
Second Advisor
Yu-Sheng Hsu
Third Advisor
Yichuan Zhao
Fourth Advisor
Xu Zhang
Abstract
Diagnostic testing is essential to distinguish non-diseased individuals from diseased individuals. More accurate tests lead to improved treatment and thus reduce medical mistakes. The sensitivity and specificity are two important measurements for the diagnostic accuracy of a diagnostic test. When the test results are continuous, it is of interest to construct a confidence interval for the sensitivity at a fixed level of specificity for the test. In this thesis, we propose three empirical likelihood intervals for the sensitivity. Simulation studies are conducted to compare the empirical likelihood based confidence intervals with the existing normal approximation based confidence interval. Our studies show that the new intervals had better coverage probability than the normal approximation based interval in most simulation settings.
DOI
https://doi.org/10.57709/1059686
Recommended Citation
Davis, Angela Elaine, "Empirical Likelihood Confidence Intervals for the Sensitivity of a Continuous-Scale Diagnostic Test." Thesis, Georgia State University, 2007.
doi: https://doi.org/10.57709/1059686