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研究生:陳淑貞
研究生(外文):Shu-chen Chen
論文名稱:右方設限資料最低有效劑量鑑別之研究
論文名稱(外文):A study of the identification of the minimum effective dose for right-censored data
指導教授:陳玉英陳玉英引用關係
指導教授(外文):Yuh-Ing Chen
學位類別:碩士
校院名稱:國立中央大學
系所名稱:統計研究所
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:1999
畢業學年度:87
語文別:中文
論文頁數:52
中文關鍵詞:右方設限最低有效劑量
外文關鍵詞:right-censoredminimum effective dose
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本文探討在具有右方設限(right-censored)存活資料的劑量反應研究中,如何鑑別優於對照組的最低有效劑量(Minimum Effective Dose,簡稱MED)。針對此一問題,傳統上使用的是數個處理組與一個對照組的多重比較。包含單階(single-step)或多階(multi-step)之多重比較(Chen,1999a)。本文根據加權對秩統計量(weighted logrank statistic)建立封閉性(closed)多重檢定,且提供近似p-值之計算。再利用蒙地卡羅(Monte Carlo)方法模擬本文所提之封閉性檢定方法相對於傳統方法的檢定力(power)及族誤差率(family-wise error rate,簡稱FWE)的表現。最後分析兩筆資料,說明所提方法之應用。

第一章 緒論 1
第二章 文獻回顧 4
2.1符號與定義 4
2.2雙樣本加權對數秩統計量 5
2.3單階多對一比較 7
2.4 封閉性多對一比較 11
第三章 統計方法 13
第四章 實例分析 16
4.1 實例一:X-放射線劑量與白血球過多症的關係 16
4.2 實例二:捐贈者施打抗癌卵蛋白素與骨髓移植受贈者存活時間之關係 22
第五章 模擬研究 28
5.1 模擬方法 28
5.2 模擬結果 30
第六章 結論與未來之研究 32
參考文獻 50

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