(3.236.228.250) 您好!臺灣時間:2021/04/17 07:38
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果

詳目顯示:::

我願授權國圖
: 
twitterline
研究生:李柏青
研究生(外文):Po-Ching Li
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
指導教授:楊明宗楊明宗引用關係
指導教授(外文):Ming-Chung Yang
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:2008
畢業學年度:96
語文別:中文
論文頁數:51
中文關鍵詞:邊際同質性配對資料
外文關鍵詞:marginal homogeneitymatched pair
相關次數:
  • 被引用被引用:0
  • 點閱點閱:143
  • 評分評分:系統版面圖檔系統版面圖檔系統版面圖檔系統版面圖檔系統版面圖檔
  • 下載下載:12
  • 收藏至我的研究室書目清單書目收藏:0
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。
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.
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
1. Agresti, A. (2002). Categorical data analysis. Wiley, New York.
2. Agresti, A. and Klingenberg, B. (2005). Multivariate tests comparing binomial
probabilities, with application to safety studies for drugs. Applied Statistics 54, 691-816.
3. Agresti, A. and Klingenberg, B. (2006). Multivariate extensions of McNemar’s test. Biometrics 45, 629-636.
4. Agresti, A. and Min, Y. (2005). Simple improved confidence intervals for comparing matched proportions. Statistics in Medicine 24, 729–740.
5. Becker, M. P. and Balagtas, C. C. (1993). Marginal modeling of binary cross-over data.
Biometrics 49, 997-1009.
6. Connett, J. E., Smith, J. A., and McHugh, R. B. (1987). Sample size and power for pair-
matched case-control studies. Statistics in Medicine 6, 53-59.
7. Connor, R. J. (1987). Sample size for testing differences in proportions for the paired-
sample design. Biometrics 43, 207-211.
8. Eliasziw, M. and Donner, A. (1991). Application of the McNemar test to non-independent
matched pair data. Statistics in Medicine 10, 1981-1991.
9. Feuer, E. J. and Kessler, L. J. (1989). Test statistic and sample size for a two-sample McNemar test. Biometrics 45, 629-636.
10. Ireland, C. T., Ku, H. H., and Kullback, S. (1969). Symmetry and marginal homogeneity of an r × r contingency table. Journal of the American Statistical Association 64, 1323-1341.
11. Landis, J. R., Heyman, E. R., and Koch, G. G. (1978). Average partial association in
three-way contingency tables:A review and discussion of alternative tests. International Statistical Review 46, 237-254.
12. Lang, J. B. (2004). Multinomial-poisson homogeneous models for contingency table.
Annals of Statistics 32, 340-383.
13. Lang, J. B. and Agresti, A. (1994). Simultaneously modeling joint and marginal
distributions of multivariate categorical responses. Journal of the American Statistical
Association 89, 625-632.
14. McNemar, S. (1947). Note on the sampling error of the differences between corrected proportions or percentages. Psychometrzka 12, 153-157.
15. Nam, J. M. (1997). Establishing equivalence of two treatments and sample size requirements in matched-pairs design. Biometrics 53, 1422-1430.
16. Newcombe, R. (1998). Improved confidence intervals for the difference between binomial proportions based on paired data. Statistics in Medicine 17, 2635–2650.
17. Obuchowski, N. (1998). On the comparison of correlated proportions for clustered data.
Statistics in Medicine 17, 1495-1507.
18. Tango, T. (1998). Equivalence test and confidence interval for the difference in
proportions for the paired-sample design. Statistics in Medicine 17, 891-908.
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top
系統版面圖檔 系統版面圖檔