对于MUPP模型的个人参数估计方法进行比较
David M LaHuis1, Caitlin E Blackmore2, Gage M Ammons1
1Wright State University, Dayton, OH, USA.
Applied psychological measurement
|January 31, 2025
概括
这项研究比较了个人评分方法,用于多维单维对称偏好模型. 无转折抽样 (NUTS) 和预期后期 (EAP) 方法显示出更高的性能,特别是更少的尺寸.
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:
- 准确的人评分对于教育和心理评估至关重要.
- 多维单维对对偏好模型 (MUPPM) 为偏好数据提供了一个灵活的框架.
- 对MUPPM人参数进行不同计算方法的比较对于实际应用至关重要.
研究的目的:
- 为了比较Maximum a Posteriori (MAP),Expected a Posteriori (EAP) 和马尔科夫链蒙特卡洛 (MCMC) 方法在MUPPM中对个人得分估计的准确性和效率.
- 评估维度对这些评分方法的性能的影响.
- 为了研究每个维度的项目数量对参数恢复的影响.
主要方法:
- 采用了三种不同的个人评分方法:MAP,完全交叉方位的EAP和使用No-U-Turn采样 (NUTS) 算法的MCMC.
- 模拟的数据来自MUPPM在不同的条件的维度和每个维度的项目数量.
- 评估参数恢复精度和计算性能.
主要成果:
- 完全交叉平方的EAP方法和NUTS算法与MAP相比显示出更高的性能,特别是在更低维的设置中.
- 在高维条件下,NUTS算法产生了最准确的人参数估计.
- 每个维度的项目数量被确定为影响个人参数恢复的最有影响的因素.
结论:
- 完全交叉方位的EAP和NUTS都是MUPPM中人员得分估计的有效方法,NUTS在复杂,高维的场景中表现出优势.
- MUPPM的性能对每个维度可用的项目数量敏感,突出显示了测试设计的重要性.
- 这些发现为研究人员和从业人员提供了宝贵的指导,为基于MUPPM的评估选择适当的评分方法.
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