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| Field |
Value |
| 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 |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 國立政治大學統計學系 | en_US |
| dc.contributor (Contributor) | 行政院國家科學委員會 | en_US |
| dc.creator (Authors) | 鄭宗記 | zh_TW |
| dc.date (Date) | 2010 | en_US |
| dc.date.accessioned | 2012-08-30 09:58:27 (UTC+8) | - |
| dc.date.available | 2012-08-30 09:58:27 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2012-08-30 09:58:27 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/53371 | - |
| dc.description.abstract (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。 | en_US |
| dc.description.abstract (Abstract) | 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 (Relation) | 基礎研究 | en_US |
| dc.relation (Relation) | 學術補助 | en_US |
| dc.relation (Relation) | 研究期間:9908~ 10007 | en_US |
| dc.relation (Relation) | 研究經費:286仟元 | en_US |
| dc.subject (Keywords) | 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 (Keywords) | Contingency table; forward search algorithm; maximum trimmed likelihood estimator; robust diagnostics | en_US |
| dc.title (Title) | 2x2列聯表之穩健診斷 | en_US |
| dc.title.alternative (Other Titles) | Robust Diagnostics for Several 2x2 Contingency Tables | en_US |
| dc.type (Data Type) | report | en |
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