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Solving the Measurement Invariance Anchor Item Problem in Item Response Theory

机译:解决项目响应理论中测量不变性锚项目的问题

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摘要

The efficacy of tests of differential item functioning (measurement invariance) has been well established. It is clear that when properly implemented, these tests can successfully identify differentially functioning (DF) items when they exist. However, an assumption of these analyses is that the metric for different groups is linked using anchor items that are invariant. In practice, however, it is impossible to be certain which items are DF and which are invariant. This problem of anchor items, or referent indicators, has long plagued invariance research, and a multitude of suggested approaches have been put forth. Unfortunately, the relative efficacy of these approaches has not been tested. This study compares 11 variations on 5 qualitatively different approaches from recent literature for selecting optimal anchor items. A large-scale simulation study indicates that for nearly all conditions, an easily implemented 2-stage procedure recently put forth by Lopez Rivas, Stark, and Chernyshenko (2009) provided optimal power while maintaining nominal Type I error. With this approach, appropriate anchor items can be easily and quickly located, resulting in more efficacious invariance tests. Recommendations for invariance testing are illustrated using a pedagogical example of employee responses to an organizational culture measure.
机译:差异项功能(度量不变性)测试的功效已得到充分确立。显然,如果正确实施,这些测试可以成功识别存在差异功能的项目。但是,这些分析的一个假设是,使用不变的锚项链接不同组的度量。但是实际上,不可能确定哪些项目是DF,哪些是不变的。锚项或参考指标的问题长期困扰着不变性研究,并提出了许多建议的方法。不幸的是,这些方法的相对功效尚未得到测试。这项研究比较了从最近文献中选择最佳锚定项目的5种在质量上不同的方法中的11种变化。大规模的仿真研究表明,对于几乎所有情况,Lopez Rivas,Stark和Chernyshenko(2009)最近提出的易于实施的两阶段程序在保持标称I型误差的同时提供了最佳功率。使用这种方法,可以轻松快速地找到合适的锚点,从而进行更有效的不变性测试。关于不变性测试的建议以员工对组织文化措施的回应的教学示例为例。

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