了解用计数项目测量的能力和可靠性差异:分布式回归测试模型和计数潜伏回归模型
Marie Beisemann1, Boris Forthmann2, Philipp Doebler1
1Department of Statistics, TU Dortmund University.
Multivariate behavioral research
|February 13, 2024
概括
新项目响应理论 (IRT) 模型解释了测试和问卷中的计数数据. 这些基于2PCMPM的模型有助于了解物品和人的特征如何影响测试结果.
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
- 心理学 心理学 心理学
背景情况:
- 对计数数据的项目响应理论 (IRT) 方法不如对二进制数据的发展.
- 现有的模型,如双参数康威-马克斯韦-波桑模型 (2PCMPM),提供项目特定的参数,但缺乏对共变量的解释能力.
- 了解参数变化对于有效的项目开发和选择至关重要.
研究的目的:
- 引入新的解释性计数IRT模型来分析计数数据.
- 扩展2PCMPM框架,将项目和人员共变量纳入其中.
- 提供估计方法并评估它们的统计特性.
主要方法:
- 为项目共变量开发分布回归测试模型 (DRTM).
- 对人体共变量开发的隐数回归模型 (CLRM).
- 模拟研究,以评估拟议模型的统计特性.
主要成果:
- 拟议的DRTM和CLRM模型有效地解释了项目和人参数的变化.
- 模拟结果表明估计方法具有令人满意的统计特性.
- 这些模型提供了关于共变量和响应模式之间的关系的见解.
结论:
- 新的基于2PCMPM的解释性计数IRT模型推进了心理和教育评估的分析.
- 这些模型为理解测试构造和改进项目设计提供了宝贵的工具.
- 开发的方法有助于在基于计数的测量中更深入地解释物品和人体特征.
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