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  • 學位論文

評量現狀存活數據的比例風險假設

Evaluating the Proportional Hazards Assumption with Current Status Survival Data

指導教授 : 溫啟仲

摘要


右設限存活資料的迴歸診斷問題,已被廣泛的研究,但對於現狀存活數據之迴歸診斷問題較少。現狀存活數據包含共變量,檢查時間和在檢查時間事件是否發生的指標。在本論文中我們發展四種圖形法或量化法即:「log-log存活曲線圖」;「觀察與預期存活曲線圖」;「柯斯-斯奈爾殘差法」和「布萊爾-分數方法」來評量現狀存活數據的比例風險假設。並且提出四個對應的配適度指標。模擬結果顯示,此四個方法的表現是不錯的。另外,分析三組實際的現狀存活數據來說明所提方法的應用程序。

並列摘要


Regression diagnostic problems have been extensively studied in the context of right-censored survival data but not many for current status survival data. Here the current status survival data, including covariates, an examination time, and an indicator for whether the failure has occurred by the examination time. In this thesis, we develop four graphical or quantitative methods for evaluating the Cox proportional hazards assumption of current status survival data, namely the “log-log survival curve plots”, “observed and expected survival curve plots”, “Cox-Snell residual method”, and “Brier-score method”. The corresponding goodness-of-fit indices for four methods are also proposed. Simulation results reveal good performance of four methods. Three real data sets are analyzed to illustrate the applications of the proposed methods.

參考文獻


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3.Chang, Y. S. (張晏昇)(2013). Evaluating the Proportional Odds Assumption with Current Status Survival Data. Master Thesis, Tamkang University.
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7.Kleinbaum, D. G. and Klein, M. (2005). Survival Analysis: A Self-Leaming Text,2nd edition. Springer-Verlag.

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