兩相關變量三元反應配對資料邊際比例差異之研究

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李柏青(Po-Ching Li) 查詢紙本館藏

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論文名稱

兩相關變量三元反應配對資料邊際比例差異之研究

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摘要(中)

健康保健與用藥安全是近代社會兩個重要的課題，故在臨床醫學研究上對藥物控制研究特別受到重視，常需藉由比較不同劑量的藥劑或不同藥劑產生的影響作進一步的討論，用以增進生活的品質。本文針對兩相關變量三元反應配對資料邊際機率相關問題作深入的研究，提出常用之統計方法以比較不同樣本間的差異，並透過統計方法比較與數值模擬的過程找尋較簡易且適當的統計方法，供實務應用者方便使用。

摘要(英)

The health care and drug safety are two important subjects for modern society. Recently, clinical medical research is especially paid attention to pharmacy control. In order to improve quality of life, it is necessary to investigate the difference between dosages or drugs. The goal of this paper is to test the marginal homogeneity having two dependent variables of matched pair data with three responses. Some well-known statistic methods are studied. Comparisons between those methods are conducted by simulation studies, and simple and suitable methods are recommended for practical applications.

關鍵字(中)

★ 邊際同質性
★ 配對資料

關鍵字(英)

★ marginal homogeneity
★ matched pair

論文目次

目錄............................................................................................................................................I
表目錄...................................................................................................................................... II
第一章緒論............................................................................................................................1
1-1 前言...............................................................................................................................1
1-2 背景、動機與目的........................................................................................................3
第二章文獻探討....................................................................................................................5
第三章研究方法....................................................................................................................7
3-1 邊際同質性檢定............................................................................................................7
3-1-1 華德和分數型態統計量.....................................................................................10
3-1-2 概似比例和皮爾森卡方統計量.........................................................................12
3-1-3 Cochran-Mantel-Haenszel 統計量......................................................................13
3-2 三元反應之特定反應邊際機率檢定..........................................................................15
第四章資料分析與數值模擬..............................................................................................17
4-1 邊際同質性檢定..........................................................................................................19
4-2 特定反應之邊際機率檢定..........................................................................................25
第五章結論與未來研究......................................................................................................28
附錄.........................................................................................................................................29
A. 三元反應邊際同質性檢定-華德與分數型態統計量...................................................29
B. 二元反應邊際同質性檢定-華德與分數型態統計量...................................................32
C. 程式碼.............................................................................................................................34
參考文獻.................................................................................................................................43

參考文獻

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指導教授

楊明宗(Ming-Chung Yang)

審核日期

2008-6-25

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