Department of Social Psychology and Methodology, Autónoma University of Madrid, Spain.
Br J Math Stat Psychol. 2012 Feb;65(1):32-55. doi: 10.1111/j.2044-8317.2010.02009.x. Epub 2011 Jan 13.
Items that are clustered according to shared content may violate the principle of conditional independence commonly used in item response theory. This paper investigates the capabilities of a logistic item response model in relation to locally dependent item responses. The model includes main effect and interaction parameters that are computed as linear functions of the latent trait. The paper explains the interpretation of the parameters, the maximum likelihood estimation algorithm, the information matrix and some results concerning parameter identifiability. The problem of over-fitting the data is addressed in a simulation study, and two real data examples are described to illustrate the approach, one from the context of a sample survey and the other from ability testing using testlets.
根据共同内容聚类的项目可能违反项目反应理论中常用的条件独立性原则。本文研究了逻辑项目反应模型在局部相关项目反应方面的能力。该模型包括主效应和交互参数，这些参数作为潜在特征的线性函数进行计算。本文解释了参数的解释、最大似然估计算法、信息矩阵和一些关于参数可识别性的结果。在模拟研究中讨论了数据过度拟合的问题，并描述了两个实际数据示例来说明该方法，一个来自样本调查的背景，另一个来自使用测验单元的能力测试。
