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Concordance coefficients to measure the agreement among several sets of ranks

机译:一致性系数,用于衡量几组等级之间的一致性

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摘要

In this paper, two measures of agreement among several sets of ranks, Kendall's concordance coefficient and top-down concordance coefficient, are reviewed. In order to illustrate the utility of these measures, two examples, in the fields of health and sports, are presented. A Monte Carlo simulation study was carried out to compare the performance of Kendall's and top-down concordance coefficients in detecting several types and magnitudes of agreements. The data generation scheme was developed in order to induce an agreement with different intensities among m (m > 2) sets of ranks in non-directional and directional rank agreement scenarios. The performance of each coefficient was estimated by the proportion of rejected null hypotheses, assessed at 5% significance level, when testing whether the underlying population concordance coefficient is sufficiently greater than zero. For the directional rank agreement scenario, the top-down concordance coefficient allowed to achieve a percentage of significant concordances that was higher than the one achieved by Kendall's concordance coefficient. Mainly, when the degree of agreement was small, the results of the simulation study pointed to the advantage of using a weighted rank concordance, namely the top-down concordance coefficient, simultaneously with Kendall's concordance coefficient, enabling the detection of agreement (in a top-down sense) in situations not detected by Kendall's concordance coefficient.
机译:本文回顾了Kendall的一致性系数和自上而下的一致性系数这两种等级之间的一致性的两种度量方法。为了说明这些措施的实用性,在健康和体育领域提供了两个示例。进行了蒙特卡洛模拟研究,比较了肯德尔和自上而下的一致性系数在检测几种类型和大小的协议中的性能。开发数据生成方案是为了在非定向和定向秩协议情况下在m(m> 2)个秩集之间诱导不同强度的一致性。当测试基础总体一致性系数是否足够大于零时,通过拒绝的无效假设的比例(在5%显着性水平下进行评估)来评估每个系数的性能。对于定向等级一致性方案,自上而下的一致性系数允许实现显着一致性的百分比,该百分比高于肯德尔的一致性系数所实现的百分比。主要是,在一致程度较小的情况下,仿真研究的结果指出了使用加权秩一致性(即自上而下的一致性系数)和肯德尔的一致性系数的优势,从而能够检测一致性(在顶部-向下感)在肯德尔的一致性系数未检测到的情况下。

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