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Comparing Attitudes Across Groups: An IRT-Based Item-Fit Statistic for the Analysis of Measurement Invariance

机译:比较跨组的态度:基于IRT的项目适用于测量不变性的分析

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Questionnaires for the assessment of attitudes and other psychological traits are crucial in educational and psychological research, and item response theory (IRT) has become a viable tool for scaling such data. Many international large-scale assessments aim at comparing these constructs across countries, and the invariance of measures across countries is thus required. In its most recent cycle, the Programme for International Student Assessment (PISA 2015) implemented an innovative approach for testing the invariance of IRT-scaled constructs in the context questionnaires administered to students, parents, school principals, and teachers. On the basis of a concurrent calibration with equal item parameters across all groups (i.e., languages within countries), a group-specific item-fit statistic (root mean square deviance [RMSD]) was used as a measure for the invariance of item parameters for individual groups. The present simulation study examines the statistic’s distribution under different types and extents of (non)invariance in polytomous items. Responses to five 4-point Likert-type items were generated under the generalized partial credit model (GPCM) for 1,000 simulees in 50 groups each. For one of the five items, either location or discrimination parameters were drawn from a normal distribution. In addition to the type of noninvariance, the extent of noninvariance was varied by manipulating the variation of these distributions. The results indicate that the RMSD statistic is better at detecting noninvariance related to between-group differences in item location than in item discrimination. The study’s findings may be used as a starting point to sensitivity analysis aiming to define cutoff values for determining (non)invariance.
机译:评估态度和其他心理特征的问卷对教育和心理研究至关重要,项目响应理论(IRT)已成为缩放此类数据的可行工具。许多国际大规模评估旨在比较各国的结构,因此需要各国跨国范围内的措施的不变性。在最近的周期中,国际学生评估计划(PISA 2015)实施了一种创新方法,用于测试对学生,父母,学校校长和教师的上下文调查问卷中的IRT-Scaled构造的不变性。在跨所有组中具有相同项目参数的并发校准(即国家内的语言)的并发校准,使用组特定的项目适合统计(root均方偏差[RMSD])作为项目参数的不变性的度量对于个体群体。目前的仿真研究审查了多种类型和(非)在多种物品中(非)不变性的不同类型和范围内的分布。在50个组中的广义部分信用模型(GPCM)下在50个组中产生了50个模拟的响应。对于五个项目中的一个,从正常分布中汲取任何一个位置或辨别参数。除了非识别的类型之外,通过操纵这些分布的变化来改变非致命程度。结果表明,RMSD统计更好地检测与在项目位置之间的组差异相关的非致命性而不是项目歧视。该研究的发现可以用作敏感性分析的起点,旨在定义用于确定(非)不变性的截止值。

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