雖然已有相當多的研究工作在右設限存活數據具共變量測量誤差的問題，但具共變量測量誤差現狀數據的迴歸分析近年來才開始。這篇論文中，我們考慮Wen and Chen (2012) 分析具共變量誤差現狀數據的條件分數法。不同於Wen and Chen (2012)，我們使用篩選法去近似比例勝算比模型的基線勝算比函數。我們所提方法的優點為條件分數估計的計算更有效率且迴歸係數估計之變異數估計無需估計設限時間分布。所提的方法藉由模擬試驗評量且由一實際數據說明其應用。

While there is considerable work on covariate measurement error problem for right-censored survival data, regression analysis for current status data with mismeasured covariate has just started recently. In this thesis, we consider the conditional score approach of Wen and Chen (2012) for the analysis of errors-in-variable current status data. Distinct from Wen and Chen (2012), we employ a sieve method to approximate the baseline odds ratio function in the proportional odds model. Our proposal has advantages that the computation of conditional score estimates is more efficient and the variance estimation of regression parameter estimate is exempted from estimating the distribution of censoring time. The proposed method is evaluated through simulation studies and illustrated with a real data.

目錄
第一節	緒論	1
第二節	模型與數據介紹	4
第三節	條件分數估計	6
第四節	變異數估計	9
第五節	模擬試驗與實例分析	10
5.1	模擬試驗	10
5.2	實例分析	12
第六節	結論	14
參考文獻	24
附錄	26
附錄A 條件概似函數的推導	26
附錄B 矩陣A的明確式	27

表目錄
表1篩選法m=5之模擬試驗	15
表2篩選法m=6之模擬試驗	16
表3篩選法m=7之模擬試驗	17
表4斑馬魚基底細胞癌資料的分析結果	23

圖目錄
圖1根據beta _0 = 0.5 ，sigma _0^2 = 0.7 和n=600模擬試驗：  beta之標準化估計對N(0,1)之Q-Q plot(篩選法m=5)	18
圖2根據beta _0 = 0.5 ，sigma _0^2 = 0.7 和n=600模擬試驗：  beta之標準化估計對N(0,1)之Q-Q plot(篩選法m=6)	19
圖3根據beta _0 = 0.5 ，sigma _0^2 = 0.7 和n=600模擬試驗：  beta之標準化估計對N(0,1)之Q-Q plot(篩選法m=7)	20
圖4標準化後Shh平均的離差對N(0,1)之Q-Q plot	21
圖5條件分數估計法與自然估計法下之基底細胞癌發生的存活曲
線(篩選法m=4且給定共變量為所有重複Shh量測的樣本平均)	22

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