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Conditional Subscore Reporting Using Iterated Discrete Convolutions
Journal of Educational and Behavioral Statistics ( IF 1.9 ) Pub Date : 2020-03-17 , DOI: 10.3102/1076998620911933
Richard A. Feinberg , Matthias von Davier 1
Affiliation  

The literature showing that subscores fail to add value is vast; yet despite their typical redundancy and the frequent presence of substantial statistical errors, many stakeholders remain convinced of their necessity. This article describes a method for identifying and reporting unexpectedly high or low subscores by comparing each examinee’s observed subscore with a discrete probability distribution of subscores conditional on the examinee’s overall ability. The proposed approach turns out to be somewhat conservative due to the nature of subscores as finite sums of item scores associated with a subdomain. Thus, the method may be a compromise that satisfies score users by reporting subscore information as well as psychometricians by limiting misinterpretation, at most, to the rates of Type I and Type II error.

中文翻译:

使用迭代离散卷积的条件子分数报告

大量的研究表明,子评分不能增加价值。尽管存在典型的冗余并且经常出现严重的统计错误,但许多利益相关者仍然坚信其必要性。本文介绍了一种方法,该方法通过将每个应试者的观察分数与以应试者的整体能力为条件的离散分数分布的可能性进行比较,来识别和报告意外的高或低分。由于子分数的性质是与子域关联的项目分数的有限总和,因此所提出的方法在某种程度上是保守的。因此,该方法可能是一种折衷方案,它通过报告子分数信息以及心理测验师(最多将误解限制为I型和II型错误的发生率)来满足评分用户的要求。
更新日期:2020-03-17
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