Type of Document Master's Thesis Author Zhao, Meng Author's Email Address mzhao3@student.gsu.edu URN etd-07182008-141541 Title Empirical likelihood confidence intervals for the ratio and difference of two hazard functions Degree Master of Science Department Mathematics and Statistics Advisory Committee
Advisor Name Title Dr. Yichuan Zhao Committee Chair Dr. Yu-Sheng Hsu Committee Member Dr. Yuanhui Xiao Committee Member Xu Zhang Committee Member Keywords
- Right censored data
- Hazard function
- Kernel smoothing
- Empirical likelihood
Date of Defense 2008-07-17 Availability restricted Abstract In biomedical research and lifetime data analysis, the comparison of two hazardfunctions usually plays an important role in practice. In this thesis, we consider the
standard independent two-sample framework under right censoring. We construct efficient
and useful confidence intervals for the ratio and difference of two hazard functions using
smoothed empirical likelihood methods. The empirical log-likelihood ratio is derived
and its asymptotic distribution is a chi-squared distribution. Furthermore, the proposed
method can be applied to medical diagnosis research. Simulation studies show that the
proposed EL confidence intervals have better performance in terms of coverage accuracy
and average length than the traditional normal approximation method. Finally, our
methods are illustrated with real clinical trial data. It is concluded that the empirical
likelihood methods provide better inferential outcomes.
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