Linear Contrasts Based on an Extension of the Wilcoxon--Mann--Whitney Approach

Rand Wilcox

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Linear Contrasts Based on an Extension of the Wilcoxon--Mann--Whitney Approach

机译：基于Wilcoxon - Mann - Whitney方法的延伸的线性对比

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A well-known approach to comparing two independent groups is to focus on the probability that a randomly sampled observation from the first group is less than a randomly sampled observation from the second group. The paper suggests a generalization that can be used with any linear contrast based on J>2 independent groups. Roughly, the proposed measure of effect size? reflects the probability that among 2K random variables, the typical average associated with first K variables is less than the typical average among the other K variables. In effect, it represents a relatively simple measure of effect size that might be used to supplement other measures of effect size when dealing with two-way and higher designs.

机译：比较两个独立组的众所周知的方法是专注于从第一组的随机采样观察的概率小于来自第二组的随机采样的观察。本文表明，可以与基于J> 2独立组的任何线性对比度一起使用的概括。大致，拟议的效果规模衡量？反映出2K随机变量中的概率，与第一k变量相关联的典型平均值小于其他K变量中的典型平均值。实际上，它代表了在处理双向和更高的设计时可用于补充其他效果尺寸的效果大小的相对简单的效果尺寸。

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《International Journal of Statistics and Probability》 |2017年第3期|共6页
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Rand Wilcox;
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中图分类概率论与数理统计;
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Linear Contrasts Based on an Extension of the Wilcoxon--Mann--Whitney Approach

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