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政大典藏 > College of Commerce > Department of Statistics > NSC Projects > Item 140.119/53371

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/53371

Title:	2x2列聯表之穩健診斷
Other Titles:	Robust Diagnostics for Several 2x2 Contingency Tables
Authors:	鄭宗記
Contributors:	國立政治大學統計學系行政院國家科學委員會
Keywords:	列聯表;前進搜尋演算法;最大削減概似估計;穩健診斷 Contingency table;forward search algorithm;maximum trimmed likelihood estimator;robust diagnostics
Date:	2010
Issue Date:	2012-08-30 09:58:27 (UTC+8)
Abstract:	當分析2×2 列聯表時，可利用格內的機率（及勝算比）作為評估的參數；其方法可假設此列聯表服從一多項分配。當資料存在離群值時，最大概似估計的結果多不具一致性；因此本計畫之目的，即在建立一k 個2×2 列聯表分析的穩健估計。考慮在許多2× 2 列聯表資料中存在離群值（列聯表）時，藉由最大削減概似估計方法以獲致此多項分配的格內的機率穩健估計。研究結果將以電腦模擬分析及文獻中實際的資料例子分析來陳現。 While analyzing 2×2 contingency tables, the probabilities of the four cells (and the odds ratio) are often the important parameters to be investigated. The standard way of estimation and testing is to assume a four-cell multinomial model for a 2×2 table. In the presence of outliers, inferences based on the maximum likelihood estimation for categorical data analysis are generally inconsistent. The purpose of this project is to develop a robust method for analyzing k 2×2 tables. Here we describe a maximum trimmed likelihood estimation technique to estimate the cell probabilities for a multinomial model when some possible outliers exist among several 2×2 tables. The proposed procedure is illustrated using simulation study and some real data sets.
Relation:	基礎研究學術補助研究期間:9908~ 10007 研究經費:286仟元
Data Type:	report
Appears in Collections:	[Department of Statistics] NSC Projects

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