多维物品响应理论参数的概括定义
Daniel Morillo-Cuadrado1, Mario Luzardo-Verde2
1Statistical and Computational Methods in Psychology Group, https://ror.org/02msb5n36Department of Behavioral Science Methodology, School of Psychology, Universidad Nacional de Educación a Distancia (UNED), Spain.
Psychometrika
|November 19, 2025
概括
本研究将多维物品响应理论 (IRT) 参数概括为包括复杂的潜在结构和物品类型. 这些发现为测试空间中的物品测量特性提供了更准确的几何表示.
科学领域:
- 心理测量 心理测量 心理测量
- 教育测量教育的测量
- 统计建模 统计建模
背景情况:
- 标准的多维双参数物流模型在表示复杂的潜在结构和项目特征方面存在局限性.
- 现有的模型可能无法完全捕捉非身份隐性共存或负键项,影响测量准确性.
研究的目的:
- 在多维二参数物流模型中概括多维歧视和难度参数.
- 在IRT参数定义中纳入非身份隐性共差和负键项.
- 在一个不同的测试空间中提供测量结构和物品属性的几何表示.
主要方法:
- 使用Reckase的最大区分点方法对多维参数的概括.
- 基于项目参数,隐性协差结构和隐性相关结构的参数定义.
- 在测试空间中对物品进行几何表示的程序的开发.
主要成果:
- 开发了三种版本的通用参数:基于项目,基于共差和基于相关性.
- 项目需要在测试空间中表示,与潜伏空间不同,以进行准确的测量.
- 该研究提供了几何物品表示的方法,并将其应用于文献中的例子.
结论:
- 一般化参数提供了更准确的物品测量属性的表示.
- 协差结构版本建议用于参数属性描述,而相关性结构版本适用于图形表示.
- 这种概括对其他多维IRT模型有影响,并且在共同因子模型理论中具有平行性.
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