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 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: [統計研究所] 期刊論文

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