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研究生:黃煥榮
研究生(外文):Huan-Jung Huang
論文名稱:統計分析在卵巢癌之研究
論文名稱(外文):Statistical Analysis in Ovarian Cancer Study
指導教授:張中
指導教授(外文):Chung Chang
學位類別:碩士
校院名稱:國立中山大學
系所名稱:應用數學系研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2013
畢業學年度:101
語文別:中文
論文頁數:49
中文關鍵詞:CA125Cox比例風險模型區別分析惡性腫瘤中度惡性腫瘤
外文關鍵詞:Cox proportional hazard modeldiscriminant analysisCA125borderline ovarian tumorinvasive ovarian tumor
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癌症,近年屢居全球人口死亡原因之冠,不論是什麼樣的癌症,往往造成許多家庭的破碎,到目前為止,還沒有找到一種可以完全治癒癌症的藥物。
本論文主要在卵巢癌的範疇上做討論,去探討在還未開刀前,如何可以準確的判斷病人的嚴重性,給予開刀的醫生足夠的資訊,以達到提升開刀成功率的目的,使用區別分析法(Discriminant Analysis)作為分類的依據,利用此方法來區分卵巢癌是惡性腫瘤(Invasive)或是中度惡性腫瘤(Borderline),希望能夠把判斷的準確度提高。
以及在開完刀後,利用Cox 比例風險模型為基準,利用惡性腫瘤病人在手術之後的資訊,去分析其在不同期數與使用不同的化療藥物之下,對於存活風險的關係。
Cancer is one of the leading causes of death worldwide in recent years. Ovarian cancer is the second leading cause to death in women’s gynecologic cancers. Treatment of cancers is time- and resource-consuming. So far, there doesn’t exist any magical cure for cancers.
This study discusses main risk factors of ovarian tumors. One objective of this study was to build a model to differentiate borderline and invasive ovarian tumors. We hope to provide more information to doctors before the operation. We performed a retrospective study of patients with borderline or invasive ovarian tumors between 1997 and 2012 in Kaohsiung Veterans General Hospital. Clinical and pathological data were collected. Discriminant analysis was used to build a model in order to increase the accuracy of differentiation.
Another objective of this study was to analyze the risk factors for survival in patients with invasive ovarian tumors. We use the Cox proportional hazard model to analyze the risk of different stages and drugs.
誌謝i
摘要ii
Abstract iii
1 研究動機與目的1
2 資料描述3
2.1 資料收集. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.2 資料處理. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
2.3 變數介紹. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
3 研究方法10
3.1 二次區別分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
3.2 彈性區別分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
3.3 Cox 比例風險模型. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
3.4 判斷準則. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
3.5 交叉驗證. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4 研究結果13
4.1 中度惡性腫瘤與惡性腫瘤的區別. . . . . . . . . . . . . . . . . . . . . . . . . 13
4.1.1 腫瘤大小的迷失. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
4.1.2 選值判別法. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.1.3 區別分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
4.1.4 判斷準則. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
4.2 存活分析. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
4.2.1 期數風險比較. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
4.2.2 用藥風險比較. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
4.2.3 新藥與舊藥的藥效差異. . . . . . . . . . . . . . . . . . . . . . . . . . 21
5 討論與結語26
參考文獻27
附錄29
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