关于改善多维物件响应理论的变量估计的说明
Chenchen Ma1, Jing Ouyang1, Chun Wang2
1Department of Statistics, University of Michigan, 456 West Hall, 1085 South University, Ann Arbor, MI, 48109, USA.
Psychometrika
|November 18, 2023
概括
本研究引入了一种改进的算法,即重要性加权高斯变量期望最大化 (IW-GVEM),以准确估计复杂的多维物品响应理论 (MIRT) 模型. 新方法纠正了参数估计中的偏差,使MIRT更容易获得大规模评估.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
- 社会科学研究社会科学研究
背景情况:
- 多维物体响应理论 (MIRT) 对于分析社会科学的复杂结构至关重要.
- 估计MIRT模型是计算密集型,限制了它们的广泛应用.
- 现有的变量估计方法,如GVEM,提供速度,但可以在参数估计中引入偏差.
研究的目的:
- 为了解决在MIRT的变化估计方法中观察到的歧视参数偏差.
- 提出一个增强的变量估计算法,以提高MIRT模型适配的准确性.
- 调查拟议方法的计算效率和偏差校正能力.
主要方法:
- 开发高斯变量期望最大化 (IW-GVEM) 算法的重要度加权版本.
- 整合适应时刻估计,以优化梯度下降中的学习速度.
- 模拟研究将IW-GVEM与GVEM等现有方法进行比较.
主要成果:
- 拟议的IW-GVEM方法有效地纠正了MIRT模型的歧视参数偏差.
- IW-GVEM的准确性与传统方法相提并论,计算时间只略有增加.
- 适应时刻估计提高了优化过程的稳定性和效率.
结论:
- IW-GVEM提供了一种更快,更准确的方法来估计MIRT模型,克服了以前变化方法的局限性.
- 这一进步可以促进MIRT在大规模社会科学评估中的更广泛应用.
- 提出的技术可能为其他心理测量模型的变量估计提供了改进.
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