通过竞争风险模型共同建模反应和遗漏项:一种生存分析方法
Jinxin Guo1, Xin Xu1, Guanhua Fang2
1College of Science, Minzu University of China, Beijing, China.
The British journal of mathematical and statistical psychology
|January 31, 2025
概括
本研究介绍了使用响应和响应时间数据的项目响应理论 (IRT) 的联合模型. 这种新的方法通过计算遗漏的答案来增强教育评估,提高测量准确性.
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
- 基于计算机的测试
背景情况:
- 项目响应理论 (IRT) 模型是教育和心理评估中的标准.
- 在实践中,IRT模型中的统计假设经常被违反,需要修改.
- 项目遗漏在教育测试中经常发生,影响了模型的有效性.
研究的目的:
- 在IRT框架内开发响应和响应时间的联合模型.
- 通过结合响应时间数据来应对遗漏响应的挑战.
- 在基于计算机的测试环境中,为传统的IRT模型提供强大的替代方案.
主要方法:
- 开发了一个整合响应精度和响应时间的联合模型.
- 引入了类似于生存分析中的审查时间的省略时间 (OT).
- 使用竞争性风险公式来模拟项目答案与遗漏.
- 使用预期最大化算法进行最大概率估计.
主要成果:
- 拟议的联合模型在模拟研究中表现出强的性能.
- 该方法显示了对各种模型错误规范的弹性.
- 该方法成功地应用于PISA 2015科学测试中的现实数据.
结论:
- 联合响应和响应时间模型为IRT提供了有价值的延伸.
- 这种方法改善了在教育和心理评估中省略的答案的处理.
- 这种方法提高了IRT在现代计算机测试中的准确性和适用性.
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