Type of Document Master's Thesis Author Nguyen, Duytrac Vu Author's Email Address duytrac2001@yahoo.com URN etd-04192007-103123 Title OMNIBUS TESTS FOR COMPARISON OF COMPETING RISKS WITH COVARIATE EFFECTS VIA ADDITIVE RISK MODEL Degree Master of Science Department Mathematics and Statistics Advisory Committee
Advisor Name Title Dr. Yichuan Zhao Committee Chair Dr. Gengsheng (Jeff) Qin Committee Member Dr. Xu Zhang Committee Member Dr. Yu-Sheng Hsu Committee Member Keywords
- Cause-specific hazard rates
- Additive risk model
- Cumulative incidence function
- Confidence bands
- Competing risks
Date of Defense 2007-03-23 Availability unrestricted Abstract It is of interest that researchers study competing risks in which subjects may fail from any one of K causes. Comparing any two competing risks with covariate effects is very important in medical studies. This thesis develops omnibus tests for comparing cause-specific hazard rates and cumulative incidence functions at specified covariate levels. In the thesis, the omnibus tests are derived under the additive risk model, that is an alternative to the proportional hazard model, with by a weighted difference of estimates of cumulative cause-specific hazard rates. Simultaneous confidence bands for the difference of two conditional cumulative incidence functions are also constructed. A simulation procedure is used to sample from the null distribution of the test process in which the graphical and numerical techniques are used to detect the significant difference in the risks. A melanoma data set is used for the purpose of illustration.Files
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