补偿多维IRT模型的Q矩阵设计  

The Q-matrix Design for Compensatory Multidimensional IRT Models

作　　者：潘世权 赵守盈[1,2] Pan Shiquan;Zhao Shouying(School of Psychology,Guizhou Normal University,Guiyang 550025;Kaili University,Kaili 556011)

机构地区：[1]贵州师范大学心理学院,贵阳550025 [2]凯里学院,凯里556011

出　　处：《心理学探新》2024年第3期273-280,共8页Psychological Exploration

基　　金：国家教育考试科研规划2021年度课题“新高考背景下高中生学业分数报告的研究”(GJK2021017)。

摘　　要：Q矩阵不仅可用于表示项目与各维度之间的关系,还会影响测量模型的可识别性和参数估计精度。本文通过模拟研究,考察了不同Q矩阵设计如何影响补偿多维项目反应理论模型的参数估计精度。研究结果表明:(1)项目间多维设计仅在项目参数估计上占优势;(2)在绝大多数条件下,由模型识别和测量两个维度的项目组成的Q矩阵能提供比其他设计更精确的能力参数向量估计值,同时项目参数估计的误差也在可接受范围内。The Q-matrix of multidimensional item response theory(MIRT)models is restricted to binary variables and catpures the relationship between items and demensions.Different Q-matrices can impact the model identifiability and accuracy of parameter estimates in MIRT models.Previous studies have found that items measuring one dimension tend to produce more accurate parameter estimates in compensatory MIRT models.However,items measuring more than one dimension may produce more accurate ability vector estimates because they have higher discrimination.In this article,we further investigated the effects of Q-matrix design on parameter estimates through simulation study under non-adaptive testing scenario.The simulation results showed that(1)compared to other Q-matrix designs,between-item multidimensionality design only had an advantage in item parameter estimates;(2)under almost all conditions,the Q-matrix contained both items guaranteeing model identifiability and items measuring two dimensions not only produced more accurate ability vector estimates than other Q-matrix designs,but also provided acceptable item parameters recovery.

关 键 词：多维项目反应理论 Q矩阵 项目内多维 项目间多维 

分 类 号：B841.2[哲学宗教—基础心理学]