DOMINANCE STATISTICS - ORDINAL ANALYSES TO ANSWER ORDINAL QUESTIONS
DOMINANCE STATISTICS - ORDINAL ANALYSES TO ANSWER ORDINAL QUESTIONS
复制标题
DOI：
10.1037/0033-2909.114.3.494
复制
发表时间：
1993-11-01
影响因子：
22.4
通讯作者：
CLIFF, N
中科院分区：
文献类型：
--
作者：
CLIFF, N
许多行为研究涉及比较不同群体或同一受试者在不同条件下的中心倾向，通常的分析是某种形式的均值比较。这篇文章建议，序数统计量d通常更合适。D比较一组或一种情况下得分高于另一组或情况的次数，反之亦然。与均值比较相比，d更稳健，同样或更强大；它在变换下是不变的。而且它通常更符合实验者的研究假设。有人建议，d的推论应基于对其方差的样本估计，而不是基于更传统的相同分布的假设。将该统计量推广到简单的重复测量设计，并提出了将其应用于更复杂的设计的方法。
Much behavioral research involves comparing the central tendencies of different groups, or of the same subjects under different conditions, and the usual analysis is some form of mean comparison. This article suggests that an ordinal statistic, d, is often more appropriate. d compares the number of times a score from one group or condition is higher than one from the other, compared with the reverse. Compared to mean comparisons, d is more robust and equally or more powerful; it is invariant under transformation. and it often conforms more closely to the experimenter's research hypothesis. It is suggested that inferences from d be based on sample estimates of its variance rather than on the more traditional assumption of identical distributions. The statistic is extended to simple repeated measures designs, and ways of extending its use to more complex designs are suggested.