演講公告

東海大學統計系學術演講20160524

公告時間:2016-05-23 08:59:54
公告單位:統計學系

 

 

 

東海大學統計學系學術演講

間:1055 24日(星期二下午14:10~15:00

點:管理學院新大樓M367

主講人:Prof. Wei-Wen Hsu   (Department of Statistics Kansas State University)

題:A sup-score test for the cure fraction in mixture models for long-term survivors

 

 

Abstract

   The evaluation of cure fractions in oncology research under the well known cure rate model has attracted considerable attention in the literature, but most of the existing testing procedures have relied on restrictive assumptions. A common assumption has been to restrict the cure fraction to a  constant under alternatives to homogeneity, thereby neglecting any information from covariates. This paper extends the literature by developing a score-based statistic that incorporates covariate information to detect cure fractions, with the existing testing procedure serving as a special case. A complication of this extension, however, is that the implied hypotheses are not typical and standard regularity conditions to conduct the test may not even hold. Using empirical processes arguments, we construct a score-based test statistic for cure fractions and establish its limiting null distribution as a functional of mixtures of chi-square processes. In practice, we suggest a simple resampling procedure to approximate this limiting  distribution. Our simulation results show that the proposed test can greatly improve efficiency over tests that neglect the heterogeneity of the cure fraction under the alternative. The practical utility of the methodology is illustrated using ovarian cancer survival data with long-term follow-up from the Surveillance, Epidemiology and End Results registry (SEER).

logo btm

聯絡地址

40704台中市西屯區台灣大道四段1727號

東海大學823號信箱

TEL:(04)23594709、(04)23590206

FAX:(04)23594710

MAIL:Email住址會使用灌水程式保護機制。你需要啟動Javascript才能觀看它

Google