現狀數據在比例風險模型下之概似比檢定

淡江大學機構典藏 > 理學院 > 應用數學與數據科學學系 > 學位論文 > Item 987654321/87464

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题名:	現狀數據在比例風險模型下之概似比檢定
其它题名:	Likelihood ratio test for proportional hazards model with current status data
作者:	陳俊緯;Chen, Jyun-Wei
贡献者:	淡江大學數學學系碩士班溫啟仲;Wen, Chi-Chung
关键词:	概似比檢定;比例風險模型;現狀數據資料;自身一致方程式;Likelihood Ratio Test;Proportional hazards Model;Current Status Data;self-consistency equations
日期:	2012
上传时间:	2013-04-13 11:10:02 (UTC+8)
摘要:	現狀設限毀壞時間的觀察數據包含檢查時間和毀壞事件發生時間是否在檢查時間之前發生。在現狀數據中，有關於毀壞事件發生時間和共變量之間的關係的數個半母數迴歸方法，已被廣泛地研究。在本論文中，我們考慮在比例風險模型下之現狀數據，對於共變量效應之概似比檢定。並提出一個可以簡單執行的演算法來計算此檢定量。此演算法是根據一系列的自身一致方程式且我們利用收縮原理來證明其局部收斂性。此外我們探討了此演算法的收斂速度。接著進行了模擬計算並分析三筆真實數據，來說明此概似比統計量之卡方漸進性的適當性和此演算法的可行性。 Current status censored failure time observation consists only of an examination time and knowledge of whether the failure time has occurred before the exam. Several semiparametric regression methods which examine the relationship between the failure time and covariates have been proposed extensively for current status data. In this thesis, we consider the likelihood ratio test for testing covariate effect under the proportional hazards model with current status data and propose an easily implemented algorithm for computing the statistics. The algorithm proposed is based on a set of self-consistency equations and its convergence is proved by contraction principle. Besides we discuss the rate of convergence of the algorithm. The adequacy of the Chi-squared approximation for likelihood ratio statistics and the availability of the algorithm are demonstrated in simulation studies and in the analyses of three real data.
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