系統識別號 | U0002-0308200916571400 |
---|---|
DOI | 10.6846/TKU.2009.00090 |
論文名稱(中文) | 分層病例對照研究中羅吉斯迴歸模型適合度檢定之比較 |
論文名稱(英文) | A comparison of goodness-of-fit tests for the logistic regression model based on stratified case-control study |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 統計學系碩士班 |
系所名稱(英文) | Department of Statistics |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 97 |
學期 | 2 |
出版年 | 98 |
研究生(中文) | 吳佳霖 |
研究生(英文) | Chia-Lin Wu |
學號 | 696650315 |
學位類別 | 碩士 |
語言別 | 繁體中文 |
第二語言別 | |
口試日期 | 2009-06-19 |
論文頁數 | 35頁 |
口試委員 |
指導教授
-
陳麗菁
委員 - 陳麗菁 委員 - 鄧文舜 委員 - 林哲揚 |
關鍵字(中) |
羅吉斯迴歸模型 分層病例對照研究 適合度檢定 雙樣本半參數模型 |
關鍵字(英) |
logistic regression model stratify case-control study goodness-of-fit two-sample semiparametric model |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
在分層病例對照研究下,針對羅吉斯迴歸模型的適合度檢定,我們考慮在一個廣義的隨機效應模型下建構分數形式檢定統計量。此檢定與梁正憲(2008)所提之動差形式檢定統計量相同。本文進一步地整理Arbogast-Lin檢定,以及實務上常遭誤用的Hosmer-Lemeshow檢定,並針對這幾個檢定進行模擬比較。最後呈述一個關於食道癌研究的範例。 |
英文摘要 |
We present the score type test for assessing the adequacy of the logistic regression model in stratified case-control study. This score test is construct based on a random effect model. The proposed test statistic is identical to the moment specification test of Liang(2008). We also review the Arbogast-Lin test and Hosmer-Lemeshow test. The Hosmer-Lemeshow test is valid for prospective data, but if is constantly misapplied for retrospective data. Some comparisons between these methods are performed by simulation studies. An illustration of a research about cancer of the esophagus is provided. |
第三語言摘要 | |
論文目次 |
目錄 第一章 緒論...............................................1 第二章 羅吉斯迴歸模型的適合度檢定.........................6 第一節 羅吉斯迴歸模型..................................6 第二節 迴歸模型的適合度檢定...........................10 第三節 Arbogast & Lin 統計量與Hosmer-Lemeshow統計量...22 第三章 模擬研究..........................................28 第一節 模擬研究.......................................28 第二節 實例分析.......................................31 第四章 結論..............................................33 參考文獻.................................................34 表目錄 1 不同的beta2及樣本數下以X=(X1,X1^2)模擬顯著水準,以X=X1模擬檢定力...................................................30 2 不同風險因子下的病例組與對照組之邊際和.................32 |
參考文獻 |
參考文獻 [1] Arbogast, P. G. and Lin, D. Y. (2005). Model-checking techniques for strati¯ed case-control studies. Statistics in medicine, 24, 229-247. [2] Breslow, N. E. and Day, N. E. (1980). Statistical Methods in Cancer Research I: The Analysis of Case-Control Studies. Lyon: International Agency for Research on Cancer. [3] Cheng, K. F. and Chen, L. C. (2005). Testing goodness-of-fit of a logistic regression model with case-control data. Journal of statistical planning and inference, 124, 409-422. [4] Hosmer, D. W. and Lemeshow, S. (1989). Applied logistic regression, New York: Wiley. [5] Erik, P. and Timothy, J. R. (2002). Two goodness-of-fit tests for logistic regression models with continuous covariates. Statistics in medicine, 21, 79-93. [6] Prentice, R. L. Pyke, R. (1979). Logistic disease incidence models and case-control studies. Biometrika, 66(3), 403-11. [7] Qin, J. and Zhang, B. (1997). A goodness-of-fit test for logistic regression models based on case-control data. Biometrika, 84(3), 609-618. [8] Qin, J. (1998). Inferences for case-control and semiparametric two-sample density ratio models. Biometrika, 85(3), 619-630. [9] Scott A. J. and Wild C. J. (1991). Fitting logistic regression models in stratified case-control studies. Biometrics, 47(2), 497-510. [10] White, J. E. (1982). A two stage design for the study of the relationship between a rare exposure and a rare disease. American Journal of Epidemiology, 115(1), 119-28. [11] Zhang, B. (1999). A chi-squared goodnes-of-fit test for logistic regression models based on case-control data. Biometrika, 86(3), 531-839. [12] Zhang, B. (2001). An information matrix test for logistic regression models based on case-control data. Biometrika, 88(4), 921-932. [13] 梁正憲(2008)。分層病例對照資料下羅吉斯迴歸模型的適合度檢定。[碩士論文]台北:淡江大學統計學系應用統計研究所。 |
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