English  |  正體中文  |  简体中文  |  全文筆數/總筆數 : 64745/64745 (100%) 造訪人次 : 20502730      線上人數 : 436
 搜尋範圍 全部NCUIR 理學院    統計研究所       --博碩士論文 查詢小技巧：您可在西文檢索詞彙前後加上"雙引號"，以獲取較精準的檢索結果若欲以作者姓名搜尋，建議至進階搜尋限定作者欄位，可獲得較完整資料 進階搜尋
 主頁 ‧ 登入 ‧ 上傳 ‧ 說明 ‧ 關於NCUIR ‧ 管理
 National Central University (Taiwan) Institutional Repository > 理學院 > 統計研究所 > 博碩士論文 >  Item 987654321/7699

 請使用永久網址來引用或連結此文件: `http://ir.lib.ncu.edu.tw/handle/987654321/7699`

 題名: 數條迴歸直線之多重比較;Multiple Comparison of Several Regression Lines 作者: 李晧成;Hao-Cheng Lee 貢獻者: 統計研究所 關鍵詞: 迴歸直線;多重比較;聯合雙尾信賴帶;聯合單尾信賴域;regression line;simultaneous one-sided confidence regions;multiple comparison;simultaneous two-sided confidence band 日期: 2007-06-05 上傳時間: 2009-09-22 11:02:29 (UTC+8) 出版者: 國立中央大學圖書館 摘要: 本文針對具有常態分布誤差的數個迴歸模式，於其共變數可能範圍內，建立多條迴歸直線與一條對照迴歸直線差異之聯合單尾信賴域。針對具有單一共變數的兩條迴歸直線差異，本文求出確實的雙尾信賴帶或單尾信賴域之後應用Bonferroni不等式調整族誤差率以建立相關的聯合雙尾信賴帶或聯合單尾信賴域。針對具有多個共變數的數條迴歸直線比較，則是利用模擬的方法求得建立此一聯合單尾信賴域所需之臨界值。本文並進一步利用模擬方法，研究所提聯合單尾信賴域的覆蓋機率。最後，以實例說明所提方法之應用。 The problem of interest in this article is to construct simultaneous one-sided confidence regions for the difference between one controlled regression line with other several regression lines when the random errors are normally distributed. We propose an exact two-sided confidence band or one-sided confidence region for the difference of two simple linear regression lines and then suggest to construct such a simultaneous two-sided confidence band or one-sided confidence region by applying Bonferroni’s inequality for controlling the experiment error rate. For the comparison of several regression lines with one regression line when two or more covariates are involved, we consider to use a simulation-based method for finding the required critical value in the simultaneous one-sided confidence region. A simulation study is then conducted to investigate the coverage probability of the proposed confidence region. Finally, the application of the proposed procedures are demonstrated by illustrating a real data set. 顯示於類別: [統計研究所] 博碩士論文

0KbUnknown578檢視/開啟

 社群 sharing

::: Copyright National Central University. | 國立中央大學圖書館版權所有 | 收藏本站 | 設為首頁 | 最佳瀏覽畫面: 1024*768 | 建站日期：8-24-2009 :::