主 题:Jackknife Empirical Likelihood Confidence Regions for theEvaluation of Continuous-scale Diagnostic Tests with Verification Bias
主讲人:Prof. Gengsheng (Jeff) Qin
主持人:林华珍教授
时 间:2015年7月9日下午5点-6点
地 点:通博楼B212学术会议室
主办单位:统计研究中心 统计学院 科研处
主讲人简介:
Gengsheng (Jeff) Qin 系美国Georgia State University数学与统计系教授,Open Journal of Statistics、Statistics Research Letters 等期刊编委,1994年荣获The third best statistical research work。 荣获资助项目16项,累计资助金额140万美元,发表高水平的学术论文60余篇。
内容提要:
Recently, Wang and Qin (2013) proposed various bias-correctedempirical likelihood confidence regions for any two of the three parameters,sensitivity, specificity, and cut-off value, with the remaining parameter fixedat a given value in the evaluation of a continuous-scale diagnostic test withverification bias. In order to apply those methods, quantiles of the limitingweighted chi-squared distributions of the empirical log-likelihood ratiostatistics should be estimated. In order to facilitate application and reducecomputation burden, in this paper, jackknife empirical likelihood-based methodsare proposed for any pairs of sensitivity, specificity and cut-off value, andasymptotic results can be derived accordingly. The proposed methods can beeasily implemented to construct confidence regions for the evaluation ofcontinuous-scale diagnostic tests with verification bias. Simulation studiesare conducted to evaluate the finite sample performance and robustness of theproposed jackknife empirical likelihood-based confidence regions in terms ofcoverage probabilities. Finally, a real example is provided to illustrate theapplication of new methods.