首页|基于余弦相似度列置换的Q矩阵修正方法

基于余弦相似度列置换的Q矩阵修正方法

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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.
The Column Permutation for Q-Matrix Validation Method Based on Cosine Similarity
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 com-bination,the column permutation for Q-matrix validation method can accurately identify misspecified Q-entries,es-pecially when the high proportion of misspecified entries is involved in the Q-matrix.

Q-matrix validationcosine similaritycolumn permutationaccuracy

汪文义、许依纯、宋丽红

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江西师范大学计算机信息工程学院,江西南昌 330022

江西师范大学教育学院,江西南昌 330022

Q矩阵修正 余弦相似度 列置换 正确率

国家自然科学基金国家自然科学基金国家自然科学基金江西省普通高等学校教育教学改革研究项目

622670046206700561967009JXJG-22-2-44

2024

江西师范大学学报(自然科学版)
江西师范大学

江西师范大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.538
ISSN:1000-5862
年,卷(期):2024.48(2)
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