臺灣博碩士論文加值系統

Kappa統計量是一種廣為使用於測量評估者間或是不同檢測方法間的同意度程度的工具。本文在診斷結果為具有相關性的成對二分資料的情況下，建立兩個kappa參數間差異的強韌概似函數。利用此強韌概似函數，我們在不需要對於成對資料建立融入相關性的聯合分配的情形下，仍可以得到正確的統計推論。我們利用模擬與實例分析來展示強韌概似函數方法的表現。

The kappa coefficient is an index that is widely used to measure the agreement between different raters or different methods. In this paper, we construct a robust likelihood function for the quality of two kappa coefficients for correlated paired data in the case of binary diagnostic outcome scenario. Using this robust likelihood function, we can make correct statistical inferences without modeling the correlated joint distribution in paired data. We provide simulations and real data analyses to demonstrate the robust likelihood approach.

摘要 i
Abstract ii
誌謝辭 iii
目錄 iv
表目錄 v
圖目錄 viii
第一章 緒論 1
第二章 文獻回顧 6
第三章 多項模型之強韌化 7
3.1 參數最大概似估計量之一致性 9
3.2 修正項A 15
3.3 修正項B 16
第四章 模擬研究 17
4.1 資料生成 17
4.2 模擬結果 19
第五章 實例分析 36
5.1 實例一 36
5.2 實例二 38
第六章 結論 44
參考文獻 45
附錄A 46
附錄B 54
附錄C 82
附錄D 83

Barnhart HX and Williamson JM. Weighted least-squares approach for comparing correlated kappa. Biometrics 2002; 58: 1012-1019.
Cohen J. A coefficient of agreement for nominal scales. Educ Psychol Meas 1960; 20: 37-46
Koch GG, Landis JR, Freeman JL, Freeman DH and Lehnen RG. A general methodology for the analysis of experiments with repeated measurement of categorical data. Biometrics 1977; 33: 133-158
Royall RM and Tsou TS. Interpreting statistical evidence by using imperfect models: robust adjusted likelihood functions. J R Stat Soc Ser B 2003; 65: 391-404.
Tsou TS. A robust likelihood approach to inference about the kappa coefficient for correlated binary data. Stat Meth Med Res 2018; 0(0): 1-15