Type of Document Master's Thesis Author Davis, Angela Elaine URN etd-04232007-172226 Title EMPIRICAL LIKELIHOOD CONFIDENCE INTERVALS FOR THE SENSITIVITY OF A CONTINUOUS-SCALE DIAGNOSTIC TEST Degree Master of Science Department Mathematics and Statistics Advisory Committee
Advisor Name Title Gengsheng Qin Committee Chair Xu Zhang Committee Member Yichuan Zhao Committee Member Yu-Sheng Hsu Committee Member Keywords
- Empirical Likelihood
- Confidence Intervals
- Diagnostic Test
- Sensitivity
- Specificity
Date of Defense 2007-04-06 Availability unrestricted 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.Files
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