[[alternative]]A comparison of goodness-of-fit tests for the logistic regression model based on stratified case-control study

碩士[[abstract]]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。[[abstract]]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.[[tableofcontents]]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[[note]]學號: 696650315, 學年度: 9