Wang W C, Wilson M, Adams R J
Department of Psychology, National Chung-Cheng University, Chia-Yi, Taiwan.
J Outcome Meas. 1998;2(3):240-65.
Item response models have been developed to explore change measurement, including those proposed by Fischer and his colleagues (e.g., Fischer & Pazer, 1991; Fischer & Ponocny, 1994), Andersen (1985) and Embretson (1991). In this article, we propose another multidimensional Rasch model, the multidimensional random coefficient multinomial logit (MRCML) model (Adams, Wilson, & Wang, 1997). All these models are briefly reviewed and compared. The MRCML can be applied to not only polytomous items but also investigation of variations in item difficulties. Based on variations in difficulties across occasions and items, five kinds of models are proposed. Some simulation studies were conducted to examine parameter recovery of the MRCML model under various testing situations. All the parameters were recovered very well. A real data set was analyzed to show applications of the MRCML to measuring individual differences in change.
项目反应模型已被开发用于探索变化测量，包括菲舍尔及其同事提出的模型（如菲舍尔和帕泽，1991年；菲舍尔和波诺茨尼，1994年）、安德森（1985年）和恩布雷森（1991年）提出的模型。在本文中，我们提出了另一种多维拉施模型，即多维随机系数多项逻辑模型（MRCML）（亚当斯、威尔逊和王，1997年）。对所有这些模型进行了简要回顾和比较。MRCML不仅可以应用于多分类项目，还可以用于研究项目难度的变化。基于不同场合和项目的难度变化，提出了五种模型。进行了一些模拟研究，以检验MRCML模型在各种测试情况下的参数恢复情况。所有参数都恢复得很好。分析了一个真实数据集，以展示MRCML在测量变化中的个体差异方面的应用。
