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A Study of Asymptotic Distribution of Tau (τ) Agreement Index

机译:Tau(τ)协议指数的渐近分布研究

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In agreement measures, we consider the case in which a sample of n individuals or subjects is rated independently by two or more raters. There are various measures of agreement amongst which are Cohen's Kappa, Intraclass Kappa, Weighted Kappa, Raw agreement, and Tau (τ) indices just to mention a few. Several authors have argued the case for often-called chance agreement effect, where for example two raters A and B employ different sets of criteria for classifying same objects. In such a case, the observed agreement will be said to be primarily due to chance. This paper has been carried out to observe agreement for the beyond-chance situations using τ statistic amongst other measures of agreement. The asymptotic distribution for estimated τis derived and its mean and variance obtained. This allows a confidence bound for τ to be proposed. We use some practical examples to determine the confidence bounds across different degrees of freedom.
机译:在协议度量中,我们考虑由两个或多个评估者对n个个体或主题的样本进行独立评估的情况。一致性度量有多种,其中包括Cohen的Kappa,类内Kappa,加权Kappa,Raw协议和Tau(τ)指数。几位作者提出了通常被称为机会一致效应的理由,例如,两个评估者A和B使用不同的标准来对同一对象进行分类。在这种情况下,可以说观察到的协议主要是由于偶然。本文已经进行了观察,以使用τ统计量以及其他一致性度量来观察超越机会的一致性。推导出估计的τ的渐近分布,并获得其均值和方差。这允许提出针对τ的置信界。我们使用一些实际示例来确定不同自由度上的置信范围。

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