Date of Award
Open Access Thesis
Epidemiology and Biostatistics
The Cox proportional hazards (PH) model and time dependent PH model are the most popular survival models in survival analysis. The hazard discrimination summary HDS(t) proposed by Liang and Heagerty  is used to evaluate the mean hazard difference between cases and controls at time t. Liang and Heagerty  evaluated the discrimination performance under the PH model and time dependent PH model with right censoring.
In this thesis, first, we further investigate their method via comprehensive simulations including 1) We extend the simulation in Liang and Heagerty  under the PH model by adding more scenarios such as different distributions, censoring proportions under the PH model; and 2) similarly, more situations were added to time dependent PH model such as different time dependent functions. Second, we develop an estimation method of HDS(t) for the PH model with interval censored data. Third, we apply the proposed method to HIV data from Health Sciences South Carolina (HSSC).
Chen, S.(2019). Extension of Risk-Based Measure of Time-Varying Prognostic Discrimination for Survival Models. (Master's thesis). Retrieved from https://scholarcommons.sc.edu/etd/5431