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Pseudo-Ranks: The Better Way of Ranking?
The American Statistician ( IF 1.8 ) Pub Date : 2021-10-05 , DOI: 10.1080/00031305.2021.1972836
Georg Zimmermann 1, 2, 3 , Edgar Brunner 4 , Werner Brannath 5 , Martin Happ 6 , Arne C. Bathke 2
Affiliation  

Abstract

Rank-based methods are frequently used in the life sciences, and in the empirical sciences in general. Among the best-known examples of nonparametric rank-based tests are the Wilcoxon-Mann-Whitney test and the Kruskal–Wallis test. However, recently, potential pitfalls and paradoxical results pertaining to the use of traditional rank-based procedures for more than two samples have been highlighted, and the so-called pseudo-ranks have been proposed as a remedy for this type of problems. The aim of the present article is twofold: First, we show that pseudo-ranks might also behave counterintuitively when splitting up groups. Second, since the use of pseudo-ranks leads to a slightly different interpretation of the results, we provide some guidance regarding the decision for one or the other approach, in particular with respect to interpretability and generalizability of the findings. It turns out that the choice of the reference distribution, to which the individual groups are compared, is crucial. The practically relevant implications of these aspects are illustrated by a discussion of a dataset from epilepsy research. Summing up, one should decide based on thorough case-by-case considerations whether ranks or pseudo-ranks are appropriate.



中文翻译:

伪排名:更好的排名方式?

摘要

基于秩的方法经常用于生命科学和一般的经验科学中。基于非参数秩的检验最著名的例子是 Wilcoxon-Mann-Whitney 检验和 Kruskal-Wallis 检验。然而,最近,与对两个以上样本使用传统的基于秩的程序有关的潜在缺陷和自相矛盾的结果已被强调,并且已提出所谓的伪秩作为此类问题的补救措施。本文的目的是双重的:首先,我们表明伪排名在分组时也可能表现出违反直觉的行为。其次,由于使用伪排名会导致对结果的解释略有不同,因此我们提供了一些关于一种或另一种方法的决定的指导,特别是在调查结果的可解释性和普遍性方面。事实证明,与各个组进行比较的参考分布的选择至关重要。对癫痫研究数据集的讨论说明了这些方面的实际相关意义。总而言之,应该根据具体情况的全面考虑来决定等级或伪等级是否合适。

更新日期:2021-10-05
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