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一种基于信号检测理论的新Q矩阵验证方法

Jia Li¹, Ping Chen¹

¹Collaborative Innovation Center of Assessment for Basic Education Quality, Beijing Normal University, Beijing, China.

The British journal of mathematical and statistical psychology

|November 20, 2024

概括

基于信号检测理论的新Q矩阵验证方法,提高了像DINA和G-DINA这样的认知诊断模型的准确性. 这种方法提高了Q矩阵精细化的可靠性,以更好地进行诊断评估.

科学领域:

教育测量教育的测量
心理测量心理测量心理测量
认知科学认知科学

背景情况:

Q矩阵是认知诊断理论和应用的基础.
专家开发的Q矩阵经常含有错误,需要验证和改进.
现有的Q矩阵验证方法具有局限性.

研究的目的:

引入基于信号检测理论的新型Q矩阵验证方法.
将新方法的性能与现有技术进行比较.
用现实数据评估新方法的可靠性.

主要方法:

开发一种基于信号检测理论的新Q矩阵验证方法.
模拟研究将拟议的方法与各种条件下的现有方法进行比较.
将新方法应用于PISA 2000阅读评估中的子数据集.

主要成果:

在所有模拟条件下,新方法在DINA (决定性输入,噪音"和"门) 模型中表现出比现有方法更好的性能.
在G-DINA (通用DINA) 模型下,新方法获得了最高的验证率,特别是在小样本大小,高品质或大量Q矩阵错误规范 (≥.4) 的情况下.
对PISA 2000数据的分析证实了拟议的验证技术的可靠性.

结论:

拟议的基于信号检测理论的Q矩阵验证方法提供了一种可靠和有效的方法来改进Q矩阵.
这种方法在研究和实践环境中有望提高认知诊断模型的准确性.
建议对这种方法进行进一步的应用和验证,用于各种教育评估环境.

关键词:

验证Q矩阵的验证方法认知诊断是一种认知诊断.信号检测理论信号检测理论

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