规范化变量估计用于探索性项目因子分析
April E Cho1, Jiaying Xiao2, Chun Wang2
1University of Michigan.
Psychometrika
|February 25, 2026
概括
本研究引入了多维物品响应理论 (MIRT) 的新算法,以准确识别物品因子加载结构. 该方法有效地从评估数据中推断出潜在的特征和项目关系.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
- 教育测量教育的测量
背景情况:
- 多维物品响应理论 (MIRT) 模拟了潜在特征和物品响应之间的关系.
- 精确的项目因素负载结构规范对于MIRT的有效性至关重要.
- 现有的方法可能会在高维数据和精确的结构恢复方面扎.
研究的目的:
- 提出一种新的规范化高斯变量预期最大化 (GVEM) 算法,用于推断MIRT中的项目因子加载结构.
- 开发一种适用于高维度MIRT应用的计算高效方法.
- 为了准确地从数据中直接恢复项目因子加载结构.
主要方法:
- 开发了一个规范化的GVEM算法,包含L1类型的惩罚.
- 罚款将某些项目因子负载缩小到零,有助于结构识别.
- 算法利用GVEM的计算效率来实现高维度MIRT.
主要成果:
- 模拟研究表明,负载结构的准确恢复.
- 拟议的方法显示了显著的计算效率.
- 该算法的有效性用现实世界的教育评估数据 (NELS:88) 来说明.
结论:
- 规范化的GVEM算法提供了一个高效和准确的方法来推断MIRT项目因子加载结构.
- 这种方法非常适合复杂,高维度的心理测量和教育测量应用.
- 这些发现有助于改进项目参数校准和MIRT中的潜在特征估计.
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