Statistical inference for agreement between multiple raters on a binary scale

IF 1.5 3区 心理学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Sophie Vanbelle
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引用次数: 0

Abstract

Agreement studies often involve more than two raters or repeated measurements. In the presence of two raters, the proportion of agreement and of positive agreement are simple and popular agreement measures for binary scales. These measures were generalized to agreement studies involving more than two raters with statistical inference procedures proposed on an empirical basis. We present two alternatives. The first is a Wald confidence interval using standard errors obtained by the delta method. The second involves Bayesian statistical inference not requiring any specific Bayesian software. These new procedures show better statistical behaviour than the confidence intervals initially proposed. In addition, we provide analytical formulas to determine the minimum number of persons needed for a given number of raters when planning an agreement study. All methods are implemented in the R package simpleagree and the Shiny app simpleagree.

二元量表上多个评分者之间一致性的统计推断。
一致性研究通常涉及两个以上的评分者或重复测量。在有两个评分者的情况下,二元量表的一致比例和积极一致比例是简单而常用的一致度量。根据经验提出的统计推论程序,这些测量方法被推广到涉及两个以上评分者的一致性研究中。我们提出了两种替代方案。第一种是使用德尔塔法获得的标准误差的沃尔德置信区间。第二种涉及贝叶斯统计推断,不需要任何特定的贝叶斯软件。与最初提出的置信区间相比,这些新程序显示出更好的统计性能。此外,我们还提供了分析公式,以便在计划协议研究时确定给定数量的评分者所需的最少人数。所有方法都在 R 软件包 simpleagree 和 Shiny 应用程序 simpleagree 中实现。
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来源期刊
CiteScore
5.00
自引率
3.80%
发文量
34
审稿时长
>12 weeks
期刊介绍: The British Journal of Mathematical and Statistical Psychology publishes articles relating to areas of psychology which have a greater mathematical or statistical aspect of their argument than is usually acceptable to other journals including: • mathematical psychology • statistics • psychometrics • decision making • psychophysics • classification • relevant areas of mathematics, computing and computer software These include articles that address substantitive psychological issues or that develop and extend techniques useful to psychologists. New models for psychological processes, new approaches to existing data, critiques of existing models and improved algorithms for estimating the parameters of a model are examples of articles which may be favoured.
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