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Title page for ETD etd-07182008-160250


Type of Document Master's Thesis
Author Zhou, Haochuan
URN etd-07182008-160250
Title NEW NON-PARAMETRIC CONFIDENCE INTERVAL FOR THE YOUDEN
Degree Master of Science
Department Mathematics and Statistics
Advisory Committee
Advisor Name Title
Gengsheng Qin Committee Chair
Yixin Fang Committee Member
Yu-sheng Hsu Committee Member
Keywords
  • Confidence intervals
  • Optimal cut-point
  • ROC curve
  • Specificity
  • Sensitivity
  • Youden index
Date of Defense 2008-07-17
Availability unrestricted
Abstract
Youden index, a main summary index for the Receiver Operating Characteristic (ROC) curve, is a comprehensive measurement for the effectiveness of a diagnostic test. For a continuous-scale diagnostic test, the optimal cut-point for the positive of disease is the cut-point leading to the maximization of the sum of sensitivity and specificity. Finding the Youden index of the test is equivalent to maximize the sum of sensitivity and specificity for all the possible values of the cut-point. In this thesis, we propose a new non-parametric confidence interval for the Youden index. Extensive simulation studies are conducted to compare the relative performance of the new interval with the existing intervals for the index. Our simulation results indicate that the newly developed non-parametric method performs as well as the existing parametric method but it has better finite sample performance than the existing non-parametric methods. The new method is flexible and easy to implement in practice. A real example is also used to illustrate the application of the proposed interval.
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