摘要
国内外研究者已开发出多种有效的Q矩阵修正方法,但当Q矩阵错误率较高时,仍存在修正效果不佳的问题.该文将基于塔克一致性系数和余弦相似度的列置换方法融入4种Q矩阵修正方法(GDI、Hull、MLR-B和stepwise)中,并借助Q矩阵向量和元素正确率等指标来评价新方法的修正效果.蒙特卡罗(Monte Carlo)模拟研究结果表明:在各种条件组合下,4种Q矩阵修正方法经过列置换后的修正效果得到明显提升,特别是当Q矩阵错误率较高时效果更加显著.
Researchers have developed a variety of effective Q-matrix validation methods,but almost all of them have the problem that their performance is not very well when the proportion of misspecified elements in the Q-matrix is high.The column permutation method based on cosine similarity or Tucker′s congruence coefficient is proposed for Q-matrix validation.The Monte Carlo simulation study is conducted under different conditions and four Q-matrix validation methods(GDI,Hull,MLR-B and stepwise).The mean percentage of correct vector or entries of Q-matrix is calculated as evaluation criteria of recovery rates.The simulation results show that under various conditions combination,the column permutation for Q-matrix validation method can accurately identify misspecified Q-entries,especially when the high proportion of misspecified entries is involved in the Q-matrix.
作者
汪文义
许依纯
宋丽红
WANG Wenyi;XU Yichun;SONG Lihong(School of Computer and Information Engineering,Jiangxi Normal University,Nanchang Jiangxi 330022,China;School of Education,Jiangxi Normal University,Nanchang Jiangxi 330022,China)
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2024年第2期116-130,共15页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(62267004,62067005,61967009)
江西省普通高校教育教学改革研究课题(JXJG-22-2-44)资助项目.
关键词
Q矩阵修正
余弦相似度
列置换
正确率
Q-matrix validation
cosine similarity
column permutation
accuracy
