The purpose of this study is to provide a step-by-step demonstration of item recovery for the Multidimensional Graded Response Model (MGRM) in R. Within this scope, a sample simulation design was constructed where the test lengths were set to 20 and 40, the interdimensional correlations were varied as 0.3 and 0.7, and the sample size was fixed at 2000. Parameter estimates were derived from the generated datasets for the 3-dimensional GRM, and bias and Root Mean Square Error (RMSE) values were calculated and visualized. In line with the aim of the study, R codes for all these steps were presented along with detailed explanations, enabling researchers to replicate and adapt the procedures for their own analyses. This study is expected to contribute to the literature by serving as a practical guide for implementing item recovery in the MGRM. In addition, the methods presented, including data generation, parameter estimation, and result visualization, are anticipated to benefit researchers even if they are not directly engaged in item recovery.
翻译:本研究旨在为R语言环境下多维等级反应模型(MGRM)的项目参数恢复提供逐步操作演示。在此框架下,构建了模拟实验设计:测验长度设定为20和40题,维度间相关系数分别取0.3和0.7,样本量固定为2000。通过对生成的三维GRM数据集进行参数估计,计算并可视化偏差与均方根误差(RMSE)指标。根据研究目标,本文提供了所有步骤的R代码及详细说明,使研究人员能够复现并调整流程以适用于自身分析。本研究通过为MGRM项目参数恢复提供实践指南,预期能为相关领域文献作出贡献。此外,所呈现的数据生成、参数估计与结果可视化等方法,即使对不直接从事项目参数恢复的研究人员也具有参考价值。