Information Matrices and Standard Errors for MLEs of Item Parameters in IRT
Information Matrices and Standard Errors for MLEs of Item Parameters in IRT
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DOI：
10.1007/s11336-013-9334-4
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发表时间：
2014-04
期刊：
影响因子：
3
通讯作者：
K. Yuan;Ying Cheng;Jeffrey M. Patton
中科院分区：
文献类型：
--
作者：
K. Yuan;Ying Cheng;Jeffrey M. Patton
本文阐明了项目参数极大似然估计的几种信息矩阵之间的关系。它表明，计算观测信息矩阵的过程也会生成一个相关矩阵，该矩阵是一个双线性协方差矩阵的中间部分。蒙特卡罗结果表明，标准误差（SE）的基础上观察到的信息矩阵是强大的许多，但不是所有的条件下，模型/分布误设定。SE的基础上的ESTA型协方差矩阵表现最一致的条件。结果还表明，基于其他矩阵的SE要么不一致，要么不如基于三明治型协方差矩阵或观察到的信息矩阵的SE那么稳健。
The paper clarifies the relationship among several information matrices for the maximum likelihood estimates (MLEs) of item parameters. It shows that the process of calculating the observed information matrix also generates a related matrix that is the middle piece of a sandwich-type covariance matrix. Monte Carlo results indicate that standard errors (SEs) based on the observed information matrix are robust to many, but not all, conditions of model/distribution misspecifications. SEs based on the sandwich-type covariance matrix perform most consistently across conditions. Results also suggest that SEs based on other matrices are either not consistent or perform not as robust as those based on the sandwich-type covariance matrix or the observed information matrix.