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项目反应理论中基于熵的个体拟合度测量方法

Entropy-Based Measures for Person Fit in Item Response Theory.

作者信息

Dardick William R, Weiss Brandi A

机构信息

The George Washington University, DC, USA.

出版信息

Appl Psychol Meas. 2017 Oct;41(7):512-529. doi: 10.1177/0146621617698945. Epub 2017 Apr 6.

Abstract

This article introduces three new variants of entropy to detect person misfit ( , and ), and provides preliminary evidence that these measures are worthy of further investigation. Previously, entropy has been used as a measure of approximate data-model fit to quantify how well individuals are classified into latent classes, and to quantify the quality of classification and separation between groups in logistic regression models. In the current study, entropy is explored through conceptual examples and Monte Carlo simulation comparing entropy with established measures of person fit in item response theory (IRT) such as , and . Simulation results indicated that and were successfully able to detect aberrant response patterns when comparing contaminated and uncontaminated subgroups of persons. In addition, and performed similarly in showing separation between the contaminated and uncontaminated subgroups. However, may be advantageous over other measures when subtests include a small number of items. and are recommended for use as approximate person-fit measures for IRT models. These measures of approximate person fit may be useful in making relative judgments about potential persons whose response patterns do not fit the theoretical model.

摘要

本文介绍了三种用于检测个体不匹配情况的新的熵变体( 、 和 ),并提供了初步证据表明这些指标值得进一步研究。此前,熵已被用作衡量近似数据模型拟合度的指标,用于量化个体被分类到潜在类别中的程度,以及量化逻辑回归模型中组间分类和分离的质量。在当前研究中,通过概念示例和蒙特卡罗模拟对熵进行了探索,并将其与项目反应理论(IRT)中已有的个体拟合度指标(如 、 和 )进行比较。模拟结果表明,在比较受污染和未受污染的个体亚组时, 和 能够成功检测出异常反应模式。此外, 和 在显示受污染和未受污染亚组之间的分离方面表现相似。然而,当子测验包含少量项目时, 可能比其他指标更具优势。 和 被推荐用作IRT模型的近似个体拟合度指标。这些近似个体拟合度指标可能有助于对反应模式不符合理论模型的潜在个体进行相对判断。

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