Using item scores and response times in person-fit assessment

IF 1.5 3区 心理学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS British Journal of Mathematical & Statistical Psychology Pub Date : 2023-09-05 DOI:10.1111/bmsp.12320
Kylie Gorney, Sandip Sinharay, Xiang Liu
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Abstract

The use of joint models for item scores and response times is becoming increasingly popular in educational and psychological testing. In this paper, we propose two new person-fit statistics for such models in order to detect aberrant behaviour. The first statistic is computed by combining two existing person-fit statistics: one for the item scores, and one for the item response times. The second statistic is computed directly using the likelihood function of the joint model. Using detailed simulations, we show that the empirical null distributions of the new statistics are very close to the theoretical null distributions, and that the new statistics tend to be more powerful than several existing statistics for item scores and/or response times. A real data example is also provided using data from a licensure examination.

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在个人适应性评估中使用项目得分和反应时间。
在教育和心理测试中,项目分数和反应时间联合模型的使用越来越流行。在本文中,我们为此类模型提出了两个新的人称拟合统计量,以检测异常行为。第一个统计量是通过合并两个现有的人称拟合统计量计算出来的:一个是项目得分统计量,另一个是项目反应时间统计量。第二个统计量是直接使用联合模型的似然函数计算得出的。通过详细的模拟,我们发现新统计量的经验空分布与理论空分布非常接近,而且新统计量往往比现有的几种项目得分和/或响应时间统计量更强大。我们还提供了一个使用执业资格考试数据的真实数据示例。
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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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