成對右設限資料檢定之研究

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楊政學(Cheng-Hsueh Yang) 查詢紙本館藏

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統計研究所

論文名稱

成對右設限資料檢定之研究

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摘要(中)

摘要
本文針對具右設限的成對存活資料，提出調整成對資料相關性的成對對數秩近似檢定及成對限制平均壽命差異的近似檢定。除以實例說明其應用，並且採用模擬方法研究其型I誤差率及檢定力表現。本文研究具右設限的相關成對存活資料中兩個處理效應的比較。我們提出經過相關性調整後的對數秩檢定與限制平均存活時間差異的檢定。本文除以一個實例說明檢定的應用，也以模擬方法研究所提檢定方法的型I誤差率及檢定力表現。

摘要(英)

Abstract
In this article, we are concerned with the problem of comparing two treatment effects when correlated paired survival data are subjected to random right-censorship. The logrank test and the test based on the difference of two restricted mean survival time adjusted by the survived correlation are proposed. A real dataset is illustrated for the use of the tests and a simulation study is conducted to investigate the Type-I error and power performances of the proposed tests.

論文目次

第一章緒論………………………………………… 1
1.1 研究動機及目的………………………1
1.2 文獻回顧…………………………………3
第二章統計方法……………………………………… 9
2.1 對數秩檢定…………………………… 9
2.2 限制平均存活時間差異檢定……………… 10
第三章模擬研究…………………………………… 13
3.1 模擬方法………………………………… 13
3.2 模擬結果……………………………… 14
第四章實例分析…………………………………… 16
第五章結論與討論………………………………… 18
參考文獻……………………………………………… 19
附錄一對數秩檢定統計式之近似變異數…………… 22
附錄二對數秩檢定統計式之變異數………………… 24

參考文獻

參考文獻
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指導教授

陳玉英(Yuh-Ing Chen)

審核日期

2006-6-22

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