Facultad de Psicologia, 'Rovira i Virgili' University, Tarragona, Spain.
Br J Math Stat Psychol. 2009 Nov;62(Pt 3):641-62. doi: 10.1348/000711008X377745. Epub 2009 Jan 20.
This paper extends Lumsden's fluctuation model to the graded response case and, from the resulting basic scaling model, develops a one-dimensional item response theory graded response model (GRM). Under some additional assumptions, it follows that the item category response functions (ICRFs) can be closely approximated by the ICRFs of the standard GRM with equal item discrimination. For fixed item locations, the item responses depend on two individual differences parameters: the person central location and the person reliability. Procedures for estimating the person parameters and for addressing the goodness of fit of the proposed model as compared to the standard GRM are discussed. The accuracy of the person estimates is assessed by means of simulation studies. Finally, all the developments are illustrated using three empirical examples in personality measurement.
本文将卢姆斯登的波动模型扩展到分级响应情况，并从得出的基本缩放模型中，开发了一维项目反应理论分级响应模型（GRM）。在一些附加假设下，可以得出结论，项目类别反应函数（ICRFs）可以通过具有相等项目区分度的标准 GRM 的 ICRFs 进行很好的近似。对于固定的项目位置，项目响应取决于两个个体差异参数：个体中心位置和个体可靠性。讨论了估计个体参数和比较所提出的模型与标准 GRM 的拟合优度的程序。通过模拟研究评估了个体估计的准确性。最后，使用人格测量中的三个实证示例来说明所有的发展。
