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

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27778

Title:	Improved P-Values for Testing Marginal Homogeneity in 2 x 2 Contingency Tables
Authors:	Chen,LS;Yang,MC
Contributors:	統計研究所
Keywords:	INDEPENDENT BINOMIAL PROPORTIONS;CONFIDENCE;DESIGN
Date:	2009
Issue Date:	2010-06-29 19:33:25 (UTC+8)
Publisher:	中央大學
Abstract:	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.
Relation:	COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Appears in Collections:	[Graduate Institute of Statistics] journal & Dissertation

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