Date of Award
7-17-2008
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
Yixin Fang
Abstract
With new tests being developed and marketed, the comparison of the diagnostic accuracy of two continuous-scale diagnostic tests are of great importance. Comparing the partial areas under the receiver operating characteristic curves (pAUC) is an effective method to evaluate the accuracy of two diagnostic tests. In this thesis, we study the semi-parametric inference for the difference between two pAUCs. A normal approximation for the distribution of the difference between two pAUCs has been derived. The empirical likelihood ratio for the difference between two pAUCs is defined and its asymptotic distribution is shown to be a scaled chi-quare distribution. Bootstrap and empirical likelihood based inferential methods for the difference are proposed. We construct five confidence intervals for the difference between two pAUCs. Simulation studies are conducted to compare the finite sample performance of these intervals. We also use a real example as an application of our recommended intervals.
DOI
https://doi.org/10.57709/1059710
Recommended Citation
Huang, Xin, "Bootstrap and Empirical Likelihood-based Semi-parametric Inference for the Difference between Two Partial AUCs." Thesis, Georgia State University, 2008.
doi: https://doi.org/10.57709/1059710