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用于检验有序2×K列联表中独立性的列分数选择。

Choice of column scores for testing independence in ordered 2 X K contingency tables.

作者信息

Graubard B I, Korn E L

出版信息

Biometrics. 1987 Jun;43(2):471-6.

PMID:3607207
Abstract

The numerous statistical methods for testing no association between a binary response (rows) and K ordered categories (columns) group naturally into two classes: those that require preassigned numerical column scores and those that do not. An example of the former would be a logistic regression analysis, and of the latter would be a Wilcoxon rank-sum test. In this paper we demonstrate that the perceived advantage of not preassigning scores is illusory. We do this by presenting an example from our consulting experience in which the midrank scores used by the rank tests that do not require preassigned scores are clearly inappropriate. Our recommendations are to assign reasonable column scores whenever possible, and to consider equally spaced scores when the choice is not apparent. Midranks as scores should always be examined for their appropriateness before a rank test is applied.

摘要

用于检验二元反应(行)与K个有序类别(列)之间无关联的众多统计方法自然地分为两类:一类需要预先指定数值列得分,另一类则不需要。前者的一个例子是逻辑回归分析,后者的一个例子是Wilcoxon秩和检验。在本文中,我们证明了不预先指定得分这一被认为的优势是虚幻的。我们通过展示一个来自我们咨询经验的例子来做到这一点,在这个例子中,不需要预先指定得分的秩检验所使用的中间秩得分明显不合适。我们的建议是,只要有可能就指定合理的列得分,当选择不明显时考虑等距得分。在应用秩检验之前,应始终检查将中间秩作为得分是否合适。

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