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|本期目录/Table of Contents|

 补偿多维IRT模型的Q矩阵设计(PDF)

《心理学探新》[ISSN:1003-5184/CN:36-1228/B]

期数:
 2024年03期
页码:
 273-280
栏目:
 心理统计与测量
出版日期:
 2024-07-15

文章信息/Info

Title:
 The Q-matrix Design for Compensatory Multidimensional IRT Models
文章编号:
1003-5184(2024)03-0273-08
作者:
 潘世权1; 赵守盈1; 2
 (1.贵州师范大学心理学院,贵阳 550025; 2.凯里学院,凯里 556011)
Author(s):
 Pan Shiquan1; Zhao Shouying1; 2
 (1.School of Psychology,Guizhou Normal University,Guiyang 550025; 2.Kaili University,Kaili 556011)
关键词:
 多维项目反应理论;  Q矩阵;  项目内多维;  项目间多维
Keywords:
 multidimensional item response theory;  Q-matrix;  within-item multidimensionality;  between-item multidimensionality
分类号:
 B841.2
DOI:
 -
文献标识码:
 A
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。
Abstract:
 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.

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备注/Memo

备注/Memo:
 基金项目: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)。
通信作者:赵守盈,E-mail:zhaoshouying@126.com。
更新日期/Last Update:  2024-07-10