用IRTree方法建模缺失数据对不同模拟条件下的参数估计的影响
Yeşim Beril Soğuksu1, Ergül Demir2
1Turkish Ministry of National Education, Kahramanmaraş, Türkiye.
Educational and psychological measurement
|December 27, 2024
概括
项目响应树 (IRTree) 方法为缺失数据提供了比预期最大化 (EM) 和多重归算 (MI) 更准确的能力估计. 在各种缺失数据场景中,IRTree表现强,特别是在低风险测试中.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
- 教育测量的教育测量.
背景情况:
- 缺少数据是心理测量和教育研究中的一个常见挑战.
- 预期最大化 (EM) 和多重推算 (MI) 等现有方法在处理缺失数据方面存在局限性.
- 项目响应树 (IRTree) 方法为建模复杂的数据结构,包括缺失的响应提供了一个新的框架.
研究的目的:
- 评估IRTree方法在模拟缺失数据中的性能.
- 将IRTree的准确性与传统方法 (如EM和MI) 进行比较.
- 调查不同缺失数据机制,测试特征和样本特性对方法性能的影响.
主要方法:
- 利用模拟研究和经验数据进行全面评估.
- 在不同的缺失数据机制 (MCAR, MAR, MNAR) 中评估性能.
- 计算偏差和根平均平方误差 (RMSE) 用预期后期 (EAP) 方法进行能力估计.
主要成果:
- IRTree在能力估计方面表现出卓越的准确性,与EM和MI相比,较低的RMSE证明了这一点.
- 在完全随机失踪 (MCAR) 和随机失踪 (MAR) 条件下,IRTree的表现强.
- 通过更长的测试,更低的缺失数据比例和中等水平的遗漏,观察到IRTree的最佳性能.
结论:
- 在项目响应理论模型中,IRTree方法是处理缺失数据的有希望的替代方案.
- 与传统的EM和MI方法相比,IRTree提供了更精确的能力估计.
- 在低风险的测试环境中,IRTree具有很大的应用潜力,并揭示了对缺失数据模式的洞察力.
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