The comparison and application of several approaches for semiparametric Receiver Operating Characteristic curves

• Main Authors: Wei-Lin Wu, 吳威霖
• Other Authors: Yi-Kuan Tseng
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/13377892241782312917

碩士 === 國立中央大學 === 統計研究所 === 102 === In biomedical research, many researchers have to follow up and collect patients’ information. In particular, the biomarkers are usually time-dependent data and of interest. In the traditional methods, Receiver Operating Characteristic curves are estimated by fixed covariates. Therefore, it cannot handle the longitudinal data. There are many recent scholars provide the methods which calculate the time-dependent area under the ROC curve. In this thesis, we explore the performance of four popular semi-parametric approaches for estimate of ROC curves possibly with time-dependent covariates. The four methods are Chambless &; Diao (2006) , Song &; Zhou (2008) , Uno, Cai, Tian &; Wei (2007) and Heagerty &; Zheng (2005) . We analyze five data sets to do comparison of these methods. The five data sets are Heart Transplant, ddI or ddC in patients, CD4 counts and viral load affect AIDS, primary biliary cirrhosis and total number of eggs laid during lifetime. Through these comparisons, we conclude that Heagerty &; Zheng’s method provides fairly reasonable results in both simulation study and the real data sets. It provides the best performance of time-dependent semi-parametric AUC.