成對/配對二分資料的強韌概似分析;Robust likelihood analysis of paired/matched binary data

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/77361

Title:	成對/配對二分資料的強韌概似分析;Robust likelihood analysis of paired/matched binary data
Authors:	林宇涵;Lin, Yu-Han
Contributors:	統計研究所
Keywords:	相關性二元資料;成對設計;強韌概似函數;強韌分數檢定;Correlated binary data;paired designs;robust likelihood function;robust score test
Date:	2018-06-29
Issue Date:	2018-08-31 14:35:22 (UTC+8)
Publisher:	國立中央大學
Abstract:	成對/配對設計引入了相關性/聯合機率，因而使分配間的比較更複雜。本文提出一個強韌概似函數方法來推論配對設計下三個伯努利分配的異同。此強韌法是將三個獨立的伯努利概似函數強韌化，得到強韌分數統計量來檢定三個伯努利分配是否相同。我們並進一步的在模型內加入自變量以考慮配對設計的情境。本文中提出了理論證明與推導，並利用模擬和實例分析來展示強韌化方法的正確性，以及與非強韌化方法做比較所展示的優勢。;Paired/matched designs introduce correlation/joint probabilities to the probability structure that complicates the analysis considerably. In the thesis, we propose a robust likelihood function approach to inference about the difference between three Bernoulli distributions in paired/matched situations. The robust likelihood is constructed by amending the independent working model. One could acquire a robust score test statistic for testing the homogeneity of three binary populations without modeling correlation/joint probabilities. We further incorporate covariates in the matched scenario. We use simulations and real data analysis to demonstrate the merit of out robust likelihood methodology.
Appears in Collections:	[Graduate Institute of Statistics] Electronic Thesis & Dissertation

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