# 臺灣博碩士論文加值系統

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 近幾年來，對於ROC曲線指標，有愈來愈多的文獻開始對於相似性及非劣性檢定方法提出相關的研究。例如：在醫學上一種新的非侵入性診斷方法與一種已被認定為標準的侵入性診斷方法做比較，也許在診斷的效率上並不一定相等，當經過相似性及非劣性的檢定，得到新方法與標準的診斷方法是相似的，若新方法在成本、使用方便性及安全性的考量下較優於標準方法時，將以新方法取代標準的方法。而本篇論文主要是利用無母數法、標準化差評估法、Kolmogorov-Smirnov法及拔靴法等四種方法評估相似性及非劣性的檢定方法，並以模擬結果比較這四種方法在常態分配假設、指數分配假設下的優劣。
 In recent years, for ROC curve index, more and more issues have focused on the equivalence or non-inferiority test. For example, in comparing diagnostic efficacy of a non-invasive alternative diagnostic procedure to an invasive method. If the non-invasive alternative procedure is equivalent to the invasive method, we may use the non-invasive alternative diagnostic procedure because of its easy administration, its better safety profile or its reduced cost. In this paper, the equivalence/non-inferiority tests based on four methods, the non-parametric method, method based on the standardized difference, method based on the Kolmogorov-Smirnov statistic, and bootstrap method are compared. A simulation study was conducted to empirically investigate the size and power of four methods for various combinations of distributions.
 ContentsChapter 1 Introduction 11.1 The ROC Curve 21.2 The Area under the ROC Curve (AUROC) 31.3 Tests for Equivalence or Non-inferiority 5Chapter 2 Current Statistical Methods for Equivalence/Non-inferiority Test 7 2.1 Equivalence Method Based on Two AUROCs 7 2.1.1 Estimation of Areas under Correlated ROC curves 7 2.1.2 Equivalence and Non-inferiority Test Based on Two AUROCs 10 2.2 Equivalence Method Based on the Standardized Difference 11 2.1.1 Estimation of Areas under Correlated ROC curves 11 2.1.2 Equivalence and Non-inferiority Test Based on the Standardized Difference 13Chapter 3 Proposed Methods 16 3.1 Method Based on Kolmogorov-Smirnov Statistics 16 3.1.1 Analysis of Bioequivalence Under Two Correlated Kolmogorov-Smirnov Statistics 16 3.1.2 Equivalence and Non-inferiority Test Based on the K-S Statistics 18 3.2 The Bootstrap Method 19 3.2.1 Bootstrap Procedure 20 3.2.2 Testing Hypothesis 21Chapter 4 Simulation Study 22 4.1 Simulation Process and Parameter Combinations 22 4.2 Simulation Results 26Chapter 6 Conclusion 30Reference 31Appendix A 34Appendix B 36Appendix C 41
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 1 評估檢定ROC曲線下面積相似性和非劣性統計方法之研究 2 探討診斷試劑準確度研究之樣本數 3 在獨立及成對樣本下探討以參數方式建構之兩種診斷試劑準確度之估計方法及檢定 4 評估檢定多個診斷方法下AUROC相似性及非劣性統計方法之研究 5 多變量ROC曲線下面積相似性和非劣性統計方法之研究 6 二元資料相等性和非劣性的統計方法評估 7 ROC曲線下面積相似性和非劣性之研究 8 利用ROC曲線比較數種診斷方法

 1 鄧成連(1997)，「論設計管理」，工業設計雜誌， 1997年1月。 2 廖志德(1999)，「互動時代的顧客關係管理」，能力雜誌，1999年10月。 3 陳文龍(2001)，「新經濟是工業設計的新契機」，設計雜誌，2001年8月。

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