Geerlings Hanneke, Laros Jacob A, Tellegen Peter J, Glas Cees A W
University of Twente, The Netherlands.
Br J Math Stat Psychol. 2014 May;67(2):248-65. doi: 10.1111/bmsp.12017. Epub 2013 Jun 18.
Fischer's (1973) linear logistic test model can be used to test hypotheses regarding the effect of covariates on item difficulty and to predict the difficulty of newly constructed test items. However, its assumptions of equal discriminatory power across items and a perfect prediction of item difficulty are never absolutely met. The amount of misfit in an application of a Bayesian version of the model to two subtests of the SON-R 5(1/2)-17 is investigated by means of item fit statistics in the framework of posterior predictive checks and by means of a comparison with a model that allows for residual (co)variance in the item parameters. The effect of the degree of residual (co)variance on the robustness of inferences is investigated in a simulation study.
费舍尔（1973年）的线性逻辑测试模型可用于检验关于协变量对项目难度影响的假设，并预测新构建测试项目的难度。然而，其关于各项目具有同等区分能力以及对项目难度进行完美预测的假设从未得到绝对满足。在贝叶斯版本模型应用于SON-R 5(1/2)-17的两个子测试时，通过后验预测检验框架下的项目拟合统计量，并与允许项目参数存在残差（协）方差的模型进行比较，来研究不匹配程度。在一项模拟研究中，考察了残差（协）方差程度对推断稳健性的影响。
