Improved P-Values for Testing Marginal Homogeneity in 2 x 2 Contingency Tables

NCU Institutional Repository > 理學院 > 統計研究所 > 期刊論文 > Item 987654321/27778

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/27778

题名:	Improved P-Values for Testing Marginal Homogeneity in 2 x 2 Contingency Tables
作者:	Chen,LS;Yang,MC
贡献者:	統計研究所
关键词:	INDEPENDENT BINOMIAL PROPORTIONS;CONFIDENCE;DESIGN
日期:	2009
上传时间:	2010-06-29 19:33:25 (UTC+8)
出版者:	中央大學
摘要:	This article considers the problem of testing marginal homogeneity in a 2 x 2 contingency table. We first review some well-known conditional and unconditional p-values appeared in the statistical literature. Then we treat the p-value as the test statistic and use the unconditional approach to obtain the modified p-value, which is shown to be valid. For a given nominal level, the rejection region of the modified p-value test contains that of the original p-value test. Some nice properties of the modified p-value are given. Especially, under mild conditions the rejection region of the modified p-value test is shown to be the Barnard convex set as described by Barnard (1947). If the one-sided null hypothesis has two nuisance parameters, we show that this result can reduce the dimension of the nuisance parameter space from two to one for computing modified p-values and sizes of tests. Numerical studies including an illustrative example are given. Numerical comparisons show that the sizes of the modified p-value tests are closer to a nominal level than those of the original p-value tests for many cases, especially in the case of small to moderate sample sizes.
關聯:	COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
显示于类别:	[統計研究所] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	436	检视/开启

在NCUIR中所有的数据项都受到原著作权保护.

社群 sharing

数据加载中.....