Semiparametric Hybrid Empirical Likelihood Inference for Two-Sample Studies with Censored Data

• Activity Number: 243
• Type: Invited
• Date/Time: Tuesday, August 4, 2009 : 8:30 AM to 10:20 AM
• Sponsor: Section on Nonparametric Statistics
• Author(s): Hua Liang*+
• Companies: University of Rochester
• Keywords: empirical likelihood ; semiparametric models ; hazard formulation ; ROC curve

Abstract

Zhou and Liang (2005, Biometrika) proposed an empirical likelihood-based semiparametric inference for comparison of treatment effect in the two-sample problem with censored data. However, their approach is actually a pseudo empirical likelihood and the method may be not efficient. In this study, we develop a new empirical likelihood based inference under more general framework by using the hazard formulation of the censored data for two sample semiparametric hybrid models. We demonstrate that our empirical likelihood statistic converges to a standard chi-squared distribution under the null hypothesis. We further illustrate the use of the proposed test by testing the ROC curve with censored data, among others. Numerical performance of the proposed method is also examined.