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首页> 外文期刊>Journal of applied statistics >An Exact Test for Trend Among Binomial Proportions Based on a Modified Baumgartner-Weiss-Schindler Statistic
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An Exact Test for Trend Among Binomial Proportions Based on a Modified Baumgartner-Weiss-Schindler Statistic

机译：基于修正的Baumgartner-Weiss-Schindler统计量的二项式比例趋势的精确检验

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摘要

The Cochran-Armitage test is the most frequently used test for trend among binomial proportions. This test can be performed based on the asymptotic normality of its test statistic or based on an exact null distribution. As an alternative, a recently introduced modification of the Baumgartner-Weiss-Schindler statistic, a novel nonparametric statistic, can be used. Simulation results indicate that the exact test based on this modification is preferable to the Cochran-Armitage test. This exact test is less conservative and more powerful than the exact Cochran-Armitage test. The power comparison to the asymptotic Cochran-Armitage test does not show a clear winner, but the difference in power is usually small. The exact test based on the modification is recommended here because, in contrast to the asymptotic Cochran-Armitage test, it guarantees a type Ⅰ error rate less than or equal to the significance level. Moreover, an exact test is often more appropriate than an asymptotic test because randomization rather than random sampling is the norm, for example in biomedical research. The methods are illustrated with an example data set.
机译：Cochran-Armitage检验是最常用的二项式比例趋势检验。可以基于测试统计量的渐近正态性或确切的零分布来执行此测试。作为替代方案，可以使用最近引入的对Baumgartner-Weiss-Schindler统计量的修改（一种新颖的非参数统计量）。仿真结果表明，基于此修改的精确测试优于Cochran-Armitage测试。与精确的Cochran-Armitage测试相比，此精确测试不那么保守，而且功能更强大。与渐近Cochran-Armitage检验的功效比较未显示明显的获胜者，但功效差异通常很小。这里推荐基于修改的精确检验，因为与渐近Cochran-Armitage检验相反，它保证了Ⅰ型错误率小于或等于显着性水平。而且，精确检验通常比渐进检验更合适，因为在生物医学研究中，随机化而不是随机抽样是常态。通过示例数据集说明了这些方法。

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