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題名 2x2列聯表之穩健診斷
其他題名 Robust Diagnostics for Several 2x2 Contingency Tables
作者 鄭宗記
貢獻者 國立政治大學統計學系
行政院國家科學委員會
關鍵詞 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
日期 2010
上傳時間 30-Aug-2012 09:58:27 (UTC+8)
摘要 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.
關聯 基礎研究
學術補助
研究期間:9908~ 10007
研究經費:286仟元
資料類型 report
dc.contributor 國立政治大學統計學系en_US
dc.contributor 行政院國家科學委員會en_US
dc.creator (作者) 鄭宗記zh_TW
dc.date (日期) 2010en_US
dc.date.accessioned 30-Aug-2012 09:58:27 (UTC+8)-
dc.date.available 30-Aug-2012 09:58:27 (UTC+8)-
dc.date.issued (上傳時間) 30-Aug-2012 09:58:27 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/53371-
dc.description.abstract (摘要) 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。en_US
dc.description.abstract (摘要) 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.en_US
dc.language.iso en_US-
dc.relation (關聯) 基礎研究en_US
dc.relation (關聯) 學術補助en_US
dc.relation (關聯) 研究期間:9908~ 10007en_US
dc.relation (關聯) 研究經費:286仟元en_US
dc.subject (關鍵詞) 列聯表;前進搜尋演算法;最大削減概似估計;穩健診斷en_US
dc.subject (關鍵詞) Contingency table; forward search algorithm; maximum trimmed likelihood estimator; robust diagnosticsen_US
dc.title (題名) 2x2列聯表之穩健診斷en_US
dc.title.alternative (其他題名) Robust Diagnostics for Several 2x2 Contingency Tablesen_US
dc.type (資料類型) reporten