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| 研究生： |
游明珠 Ming-Chu Yu |
|---|---|
| 論文名稱： |
兩條迴歸直線比值的區間估計 The ratio of two regression means. |
| 指導教授： |
陳玉英
Yuh-Ing Chen |
| 口試委員: | |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 統計研究所 Graduate Institute of Statistics |
| 畢業學年度： | 94 |
| 語文別： | 中文 |
| 論文頁數： | 39 |
| 中文關鍵詞： | 區間估計 、迴歸分析 |
| 外文關鍵詞： | confidemce interval, regression |
| 相關次數： | 點閱：11 下載：0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
摘 要
為研究兩種處理效應的異同，可藉由處理平均數比值及其信賴區間加以衡量。本文則進ㄧ步研究，當兩個處理組的反應變數均受另一個共變數影響時，如何衡量此兩種處理效應之異同。本文考慮針對兩個處理組的資料，分別配適簡單線性迴歸模式，然後根據所估計之迴歸直線建構兩條迴歸直線的近似條件信賴區間及信賴束。文中除模擬研究外，也以一組資料說明其應用。
Abstract
To study the difference of two treatment effects, one can measure the ratio of the two treatment means together with its confidence interval. This article investigates the problem of comparing two treatment effects when the responses are affected by one covariate. The two groups of data are fitted separately by two simple linear regression models. Based on the fitted liner regression lines, the conditional confidence intervals and confidence band are constructed. This article presents the simulation results and demonstrates the use of the proposed procedures.
參考文獻
1. Casella G. and Berger R.L. (2001). Statistical Inference. Duxbury.
2. Daniel, W. W. (1987). Biostatistics: A foundation for Analysis in the Health Sciences. John Wiley & Sons.
3. Draper, N. R. and Smith H. (1998). Applied Regression Analysis. John Wiley & Sons.
4. Fieller, E.C. (1932). The Distribution of the Index in a Normal Bivariate Population. Biometrika 24, 428-440
5. Fieller, E.C. (1954). Some Problems in Interval Estimation. Journal of the Royal Statistical Society. Series B 16,175-185.
6. van Kempen, G.M.P. and van Vliet, L.J. (2000). Mean and Variance of the Ratio Estimators Used in Fluorescence Ratio Imaging. Cytometry 39, 300-305.
