時間相依一致性指標-三種方法之比較

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蔣崇平(Chung-Ping Chiang) 查詢紙本館藏

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統計研究所

論文名稱

時間相依一致性指標-三種方法之比較
(Time-dependent C-index : A Comparison of Three Methods)

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摘要(中)

本研究的目的在於針對存活資料中含有的長期追蹤(Longitudinal) 性質的共變數(生物指標)，並且伴隨著測量誤差的情形下去計算時間相依一致性指標(Time-dependent concordance)。我們進一步比較的三種方法可以依據基於模型(Model-based)與非基於模型分成兩類，基於模型中包含了聯合模型(Joint model) 補值法與鄰近點補值法(Nearest Neighbor Estimate)，而目前存在的文獻中的非基於模型則是利用IPCW(Inverse of the probability of censoring weighted)來進行加權。本研究會比較此三種方法所估計的時間相依一致性指標，在各種不同測量誤差、測量值缺失率、設限率及樣本數下的影響，最後以實際愛滋病的資料做分析，展示三種方法下的結果。

摘要(英)

The purpose of this study is to calculate the Time-dependent concordance for the Longitudinal covariance (biological index) contained in the survival data, and to calculate the time-dependent C-index with the measurement error. The three methods we further compared can be divided into two categories based on the Model-based and non-model-based. The model-based method includes the Joint model compensation method and the Nearest Neighbor Estimate. The non-model-based methods in the existing literature use IPCW (Inverse of the probability of censoring weighted) for weighting. This study will compare the time-dependent C-index estimated by these three methods, and the impact of various measurement errors, missing measurement rates, censoring rates, and sample sizes. Finally, the actual AIDS data will be used to analyze the three methods.

關鍵字(中)

★ 1.比例風險模型
★ 2.聯合模型
★ 3.長期追蹤資料
★ 4.模型比較
★ 5.時間相依一致性指標

關鍵字(英)

★ 1.Cox model
★ 2.Joint model
★ 3.Longitudinal data
★ 4.Model comparison
★ 5.Time-dependent concordance

論文目次

摘要 i
Abstract ii
致謝 iii
圖目錄 iv
表目錄 v
第一章緒論 1
1.1 一致性指標 2
1.2 基於模型下的一致性指標 2
1.3 非基於模型下的一致性指標 5
第二章統計方法 6
2.1 基於模型之時間相依一致性指標及補值法 7
2.2 非基於模型之時間相依一致性指標 14
第三章模擬研究 16
3.1 在不同測量誤差下時間相依一致性指標之比較 18
3.2 在不同測量值缺失率下時間相依一致性指標之比較 23
3.3 在不同設限率下時間相依一致性指標之比較 27
3.4 在不同樣本數下時間相依一致性指標之比較 29
第四章資料分析 32
4.1 愛滋病資料介紹 32
4.2 時間相依一致性指標模型 33
第五章結論 37
參考文獻 38
附錄A.1 I/D定義下之AUC與一致性指標推導 42

參考文獻

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指導教授

曾議寬(Yi-Kuan Tseng)

審核日期

2023-7-11

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