探索和分析一个通用的单参数项目响应模型,具有灵活的链接函数
Xue Wang1, Jiwei Zhang2, Jing Lu1
1Key Laboratory of Applied Statistics of Ministry of Education (MOE), School of Mathematics and Statistics, Northeast Normal University, Changchun, China.
Frontiers in psychology
|September 15, 2023
概括
新的单参数通用后勤模型 (1PGlogit) 提供灵活的物品特征曲线 (ICC),适合物品响应理论 (IRT). 这种先进的IRT模型与传统的单参数模型相比,提高了数据的合适性.
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:
- 传统的单参数项目响应理论 (IRT) 模型在灵活性上有局限性.
- 现有的模型经常限制物品特征曲线 (ICC) 是对称的或不对称的.
研究的目的:
- 介绍和分析一个参数的通用后勤模型 (1PGlogit).
- 展示1PGlogit模型的增强灵活性和装配性能.
- 将1PGlogit模型与其他一个参数的IRT模型进行比较.
主要方法:
- 使用了包含 probit,logit 和补充 log-log 函数的通用链接函数.
- 在模拟研究中使用Stan程序进行准确的参数估计.
- 使用现实世界的数据验证了模型的合适性,并将其与三参数后勤 (3PL) 和四参数后勤 (4PL) 模型进行了比较.
主要成果:
- 1PGlogit模型在调整ICC对不对称的方法方面表现出了卓越的灵活性.
- 模拟研究证实了各种单参数IRT模型的参数估计的准确性.
- 与现有的单参数IRT模型相比,1PGlogit模型显示了改进的模型拟合.
结论:
- 1PGlogit模型提供了一种更具适应性和有效的方法来适应IRT中的数据.
- 这种通用模型克服了以前一个参数的IRT模型的局限性.
- 1PGlogit模型在心理测量中的真实数据分析方面显示出有希望的性能.
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