| 研究生: |
郭育維 Kuo, Yu-Wei |
|---|---|
| 論文名稱: |
二元成對缺失資料的比例差之信賴區間 Confidence Intervals for the Proportion Difference in Matched-Pair Binary Data with Missing Values |
| 指導教授: |
李宗翰
Lee, Chung-Han |
| 學位類別: |
碩士 Master |
| 系所名稱: |
管理學院 - 統計學系 Department of Statistics |
| 論文出版年: | 2026 |
| 畢業學年度: | 114 |
| 語文別: | 中文 |
| 論文頁數: | 145 |
| 中文關鍵詞: | 不完整資料 、多重插補法 、覆蓋率 、變異數估計恢復法 、比例差 |
| 外文關鍵詞: | Incomplete data, Multiple imputation, Coverage probability, Method of variance estimates recovery, Difference of proportion |
| 相關次數: | 點閱:3 下載:0 |
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二元成對資料在臨床試驗中相當常見,其中比例差常為研究關注之焦點。實務上常因資料缺失使得分析受限;而在多重插補法框架下,現有處理此類缺失資料之區間估計方法,仍面臨覆蓋率不足之缺陷,且此問題在參數趨近邊界時尤為嚴重。為克服此限制,本研究在多重插補框架下,建構並比較多種改良之區間估計程序。模擬結果顯示,本研究提出之新方法能有效改善覆蓋率偏低的情形,其整體表現最為穩定且優於現有方法。此外,在維持良好覆蓋率的前提下,該程序具備較短的平均區間寬度,能提供更精確的區間估計。最後,本研究亦透過真實資料集展示各項方法之應用價值。
Matched-pair binary data are frequently encountered in clinical trials, where the difference in proportions is often the primary focus of interest. In practice, data missingness often restricts analysis. Within the framework of multiple imputation (MI), existing interval estimation methods for such missing data still suffer from insufficient coverage probabilities, a problem that is particularly pronounced when parameters approach their boundaries. To address these limitations, this study develops and compares several improved interval estimation procedures within the MI framework. Simulation results show that the proposed modified MI-MOVER effectively mitigates the issue of undercoverage, demonstrating the most stable overall performance and outperforming existing methods. Furthermore, while maintaining satisfactory coverage probabilities, the proposed procedure yields shorter average interval widths, thereby providing more precise interval estimates. Finally, the practical value of the proposed method is demonstrated through the analysis of real-world datasets.
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