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首页> 外文期刊>Journal of applied statistics >A Unified Sequential Test Procedure for Simultaneous Testing the Equality of Several Binomial Proportions to a Specified Standard
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A Unified Sequential Test Procedure for Simultaneous Testing the Equality of Several Binomial Proportions to a Specified Standard

机译：同时测试几个二项式比例是否等于指定标准的统一顺序测试程序

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摘要

In this article, we propose a unified sequentially rejective test procedure for testing simultaneously the equality of several independent binomial proportions to a specified standard. The proposed test procedure is general enough to include some well-known multiple testing procedures such as the Ordinary Bonferroni procedure, Hochberg procedure and Rom procedure. It involves multiple tests of significance based on the simple binomial tests (exact or approximate) which can be easily found in many elementary standard statistics textbooks. Unlike the traditional Chi-square test of the overall hypothesis, the procedure can identify the subset of the binomial proportions, which are different from the prespecified standard with the control of the familywise type I error rate. Moreover, the power computation of the procedure is provided and the procedure is illustrated by two real examples from an ecological study and a carcinogenicity study.
机译：在本文中，我们提出了一个统一的顺序拒绝测试程序，用于同时测试几个独立二项式比例与指定标准的相等性。所提出的测试程序足够通用，可以包括一些众所周知的多重测试程序，例如普通Bonferroni程序，Hochberg程序和Rom程序。它涉及基于简单二项式检验（精确或近似）的多种重要性检验，可以在许多基本标准统计教科书中轻松找到这些检验。与整个假设的传统卡方检验不同，该程序可以识别二项式比例的子集，该子集与通过家庭I型错误率控制的预先确定的标准不同。此外，还提供了程序的功效计算，并通过生态学研究和致癌性研究中的两个实际实例说明了该程序。

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