具共變量誤差之區間設限數據分析

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Research Paper > Item 987654321/76943

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/76943

Title:	具共變量誤差之區間設限數據分析
Other Titles:	Analysis of Interval-Censored Data with Mismeasured Covariates
Authors:	溫啟仲
Contributors:	淡江大學數學學系
Keywords:	有效分數;現狀數據;區間設限;測量誤差;Conditional score;current status data;interval censoring;measurement error
Date:	2011-08
Issue Date:	2012-05-22 22:16:47 (UTC+8)
Abstract:	具共變量測量誤差之右設限數資料已被廣泛的研究，但對現狀或區間設限數據卻很少研究。研究動機的一部分為斑馬魚之基底細胞癌的研究，其中研究者只知道細胞癌的發生時間在獻祭時間之前或之後，而共變量Sonic hdgehog 基因表現存有量測誤差。因此，我們對於具共變量測量誤差之(型I 或型k)區間設限資料，在正比例優劣比模型下，將提出一個「條件分數法」來分析。條件分數法的重要優勢為不需對真實易有誤差卻未見之共變量作一分佈假設，因此我們所提估計方法將相較其他處理測量誤差方法更具穩健性。 Covariate measurement error problems have been extensively studied in the context of right-censored data but less so for current status or interval-censored data. Motivated partly by the zebrafish basal cell carcinoma (BCC) study, where the occurrence time of BCC was only known to lie before or after a sacrifice time and where the covariate (Sonic hedgehog expression) was measured with error, we will propose a conditional score approach to the analysis of (case I / case k) interval-censored data with mismeasured covariates under the proportional odds model. The conditional score approach, originated by Stefanski and Carroll (1987), has the important advantage that it does not need a distributional assumption for unobserved error-prone covariate, rendering the proposed approach more robust and applicable compared to other strategies for handling measurement errors.
Appears in Collections:	[Graduate Institute & Department of Mathematics] Research Paper

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