臺灣博碩士論文加值系統

整合分析中的合併檢定方法在各方面領域應用上相當廣泛，它可以將多個各別研究結果有系統地加以整合歸納，以獲得一個更合理客觀的檢定結果。在眾多合併檢定方法中，Fisher法是最具代表性且常被廣泛使用的合併檢定方法。在截切合併法部分，排序截切相乘法之檢定力優於截切相乘法；在分位數合併法部分，反轉卡方法檢定力的表現優於反轉常態法。基於上述結果，本研究考慮運用排序截切概念，結合反轉卡方法，建立排序截切反轉卡方法。最後透過實驗模擬，以評估排序截切反轉卡方法其檢定效果之表現。

The methods for combining tests have been widely used in various meta-analyses. One of the commonly used methods is the Fisher combination method, which combines the p-values of different tests in a logarithmic transformed manner. Basically, there are two types of combination methods, the quantile combination methods and truncated combination methods. Among the quantile combination methods, many studies have shown that the inverse chi-square method has better power performance than inverse normal method. On the other hand, among the truncated combination methods, it is demonstrated that the rank truncated product method is superior to Fisher’s method and truncated product method. In the light of these results, this study aims to combine the rank truncated product method and the inverse chi-square method to establish a new method. In this thesis, experimental simulations are performed to evaluate the power performance of the proposed method.

第壹章 緒論……………………………………………………………….1
第一節 研究背景……………………………………………………...1
第二節 研究動機與目的……………………………………………...2
第三節 研究架構……………………………………………………...4
第貳章 文獻探討………………………………………………………….5
第一節 合併檢定統計量概述………………………………………...5
第二節 獨立條件下之合併檢定統計量……………………………...7
第三節 排序統計量的線性組合統計量…………………………….12
第參章 研究方法…………………………………………………….......14
第一節 加權排序截切反轉卡方法(WRTIC)………….…………….14
第二節 L-統計量之機率密度函數探討……………………..……...16
第三節RTIC之臨界值估計與編表………..……...…..……..……...18
第肆章 模擬分析與討論…………………………………………….......20
第一節 模擬資料的建構………….…….……….……….………….20
第二節 RTIC之型Ⅰ誤差……….…..….……….……….………….23
第三節 排序截切反轉卡方法之模擬比較……….…..….………….24
第伍章 結論與建議………………………………………………….......33
第一節 研究結論………….…….……………….……….………….33
第二節 研究限制與建議………. ……..….……….……….………..35
參考文獻………………………………………………………………….36
附錄一 模擬RTIC之臨界值表…………….…………………………...40
附錄二 模擬RTIC之臨界值程式碼…………………………….……...46

中文部分
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張育維(2015)。相依情境下排序截切反轉常態法之探討。天主教輔仁大學應用統計研究所碩士論文，新北市。
張維揚(2010)。兩種新的截切合併法之探討。天主教輔仁大學應用統
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大學應用統計研究所碩士論文，新北市。
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