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Relationships Among Classical Test Theory and Item Response Theory Frameworks via Factor Analytic Models

机译:基于因子分析模型的经典测验理论与项目反应理论框架之间的关系

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There are well-defined theoretical differences between the classical test theory (CTT) and item response theory (IRT) frameworks. It is understood that in the CTT framework, person and item statistics are test- and sample-dependent. This is not the perception with IRT. For this reason, the IRT framework is considered to be theoretically superior to the CTT framework for the purpose of estimating person and item parameters. In previous simulation studies, IRT models were used both as generating and as fitting models. Hence, results favoring the IRT framework could be attributed to IRT being the data-generation framework. Moreover, previous studies only considered the traditional CTT framework for the comparison, yet there is considerable literature suggesting that it may be more appropriate to use CTT statistics based on an underlying normal variable (UNV) assumption. The current study relates the class of CTT-based models with the UNV assumption to that of IRT, using confirmatory factor analysis to delineate the connections. A small Monte Carlo study was carried out to assess the comparability between the item and person statistics obtained from the frameworks of IRT and CTT with UNV assumption. Results show the frameworks of IRT and CTT with UNV assumption to be quite comparable, with neither framework showing an advantage over the other.
机译:经典测试理论(CTT)和项目响应理论(IRT)框架之间存在明确定义的理论差异。可以理解,在CTT框架中,人员和项目的统计信息取决于测试和样本。这不是IRT的看法。因此,出于估计人员和项目参数的目的,IRT框架在理论上被认为优于CTT框架。在先前的模拟研究中,IRT模型既用作生成模型,又用作拟合模型。因此,有利于IRT框架的结果可以归因于IRT是数据生成框架。此外,以前的研究仅考虑了传统的CTT框架进行比较,但是有大量文献表明,基于潜在正态变量(UNV)假设使用CTT统计数据可能更合适。当前的研究使用确认性因子分析来描述连接,从而将具有UNV假设的基于CTT的模型类别与IRT相关联。进行了一项小型的蒙特卡洛研究,以评估项目和人员统计数据之间的可比性,这些统计数据是从具有联合国志愿人员假设的IRT和CTT框架中获得的。结果表明,在联合国志愿人员制度假设的前提下,IRT和CTT的框架具有相当的可比性,两个框架都不比另一个框架更具优势。

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