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研究生:蔡志旻
研究生(外文):Tsai, Chih Min
論文名稱:運用充分資料縮減法於基因組分析
論文名稱(外文):Application of the Sufficient Dimension Reduction to Gene Set Analysis
指導教授:薛慧敏
學位類別:碩士
校院名稱:國立政治大學
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
畢業學年度:102
語文別:中文
論文頁數:47
中文關鍵詞:外顯特徵基因組分析切片平均變異數估計法邊際維度檢定法
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  • 被引用被引用:0
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生物現象多是由許多基因共同作用產生的結果,以基因組分析方法探討外顯特徵變數與基因組的相關性將更能幫助研究人員了解生物體的作用機制。目前已發展的基因組分析方法大多是針對離散型態的外顯特徵變數,在臨床醫學上,很多疾病的外顯特徵為連續型變數。本研究之目的即為發展運用在連續型外顯特徵變數的基因組分析方法。本文將考慮切片平均變異數估計法進行充分維度縮減的方法,原先被用來決定原始資料被縮減的程度之邊際維度檢定法將被運用於基因組分析方法。除了原有的邊際維度檢定法之外,我們另提出一改良的邊際維度檢定法,並以排列重抽法獲得這兩種檢定方法之排列顯著值。本文將透過電腦模擬以及實例分析來評估兩種邊際維度檢定法,同時也將列入Dinu等學者(2013)所發展的線性組合檢定法之結果以作為比較。
摘要 ⅰ
目錄 ⅱ
第一章、緒論 1
第二章、分析方法 5
1.縮減維度和中央子空間 5
2.切片平均變異數估計 6
3.邊際維度檢定法 7
4.整體相關性檢定 8
5.改良型邊際維度檢定法 9
第三章、模擬分析 11
1.在虛無假設模型下 12
2.在對立假設模型下 14
第四章、實證分析 18
1.資料背景 18
2.分析結果 19
3.結果討論 24
第五章、結論與建議 26
參考文獻 28
附錄 32

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Dinu, I., Potter, J.D., Mueller, T., Liu, Q., Adewale, A.J., Jhangri, G.S., Einecke, G., Famulski, K.S., Halloran, P. and Yasui, Y. (2007) Improving gene set analysis of microarray data by SAM-GS. Bioinformatics, 8, 242.

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徐碩亨、薛慧敏 (2013) Application of sufficient dimension reduction to global test.國立政治大學統計學系碩士論文,台北市。

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