参考综合数据的曲线性及其对测量的实际影响

IF 1.4 4区 心理学 Q3 PSYCHOLOGY, APPLIED
Xiangyi Liao, Daniel M. Bolt, Jee-Seon Kim
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引用次数: 0

摘要

项目难度和维度往往是相关的,这意味着多维数据(即参考复合数据)的单维 IRT 近似值可以在多维空间中呈现曲线形式。虽然这个问题以前在纵向缩放应用中讨论过,但我们要说明的是,这种现象在单项测验中也很容易出现。例如,对阅读能力的测评通常会在一次测评中使用不同的任务类型,这一特点不仅可能导致多维性,还可能导致项目难度与维度之间的关联。利用潜回归策略,我们通过模拟和实证分析证明了维度和难度之间的关联如何产生非线性参考综合,在这种综合中,基础维度的权重会根据与维度相关的项目难度在量表连续体中发生变化。我们进一步说明了这种曲线形式如何在传统的单维度 IRT 模型(如 2PL 模型)中产生系统性的规格错误,并能被单项式-多项式或非对称 IRT 模型等模型更好地适应。本文提供了一个模拟和真实数据示例,该示例来自幼儿纵向研究--幼儿园。本文还讨论了测量建模和理解 2PL 错误规范对测量指标的影响的一些意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Curvilinearity in the Reference Composite and Practical Implications for Measurement

Curvilinearity in the Reference Composite and Practical Implications for Measurement

Item difficulty and dimensionality often correlate, implying that unidimensional IRT approximations to multidimensional data (i.e., reference composites) can take a curvilinear form in the multidimensional space. Although this issue has been previously discussed in the context of vertical scaling applications, we illustrate how such a phenomenon can also easily occur within individual tests. Measures of reading proficiency, for example, often use different task types within a single assessment, a feature that may not only lead to multidimensionality, but also an association between item difficulty and dimensionality. Using a latent regression strategy, we demonstrate through simulations and empirical analysis how associations between dimensionality and difficulty yield a nonlinear reference composite where the weights of the underlying dimensions change across the scale continuum according to the difficulties of the items associated with the dimensions. We further show how this form of curvilinearity produces systematic forms of misspecification in traditional unidimensional IRT models (e.g., 2PL) and can be better accommodated by models such as monotone-polynomial or asymmetric IRT models. Simulations and a real-data example from the Early Childhood Longitudinal Study—Kindergarten are provided for demonstration. Some implications for measurement modeling and for understanding the effects of 2PL misspecification on measurement metrics are discussed.

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来源期刊
CiteScore
2.30
自引率
7.70%
发文量
46
期刊介绍: The Journal of Educational Measurement (JEM) publishes original measurement research, provides reviews of measurement publications, and reports on innovative measurement applications. The topics addressed will interest those concerned with the practice of measurement in field settings, as well as be of interest to measurement theorists. In addition to presenting new contributions to measurement theory and practice, JEM also serves as a vehicle for improving educational measurement applications in a variety of settings.
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