对于稀疏项目响应理论模型的变化贝叶斯推理
Yemao Xia1, Yu Xue1, Depeng Jiang2
1College of Science, Nanjing Forestry University, Nanjing, Jiangsu, China.
The British journal of mathematical and statistical psychology
|February 5, 2026
概括
本研究引入了一种稀疏项目响应理论 (IRT) 模型,以改进因子负载分析. 这种新方法使用缩小先验和变化贝叶斯方法来准确地推断潜在特征建模中的后置推理.
科学领域:
- 心理测量 心理测量 心理测量
- 统计建模 统计建模
- 心理测量 心理测量
背景情况:
- 项目响应理论 (IRT) 是一种统计框架,用于分析潜伏特征和观察到的响应之间的关系.
- 在IRT模型中的因子负载可能很稀疏,这给准确估计带来了挑战.
- 现有的IRT模型可能无法充分解决因子负载的稀疏性.
研究的目的:
- 开发一种新的稀疏物品响应理论 (IRT) 模型来处理稀疏因子负载.
- 引入一个可变的贝叶斯程序,以实现高效的后置推理.
- 证明该方法在心理评估中的实用性.
主要方法:
- 建议采用稀疏的IRT模型,在因子负载上使用全球和本地收缩先验.
- 开发了一个变化的贝叶斯推理程序.
- 逻辑函数以随机方式表示,将稀疏的IRT模型框架为混合模型,以Pólya-Gamma分布用于并联后置计算.
主要成果:
- 拟议的稀疏IRT模型有效地解决了因子负载稀疏性.
- 变量贝叶斯式方法允许简单的后置计算.
- 模拟研究证实了新方法的性能.
- 对人格评估数据的应用说明了实际的实用性.
结论:
- 开发的稀疏IRT模型为分析稀疏因子负载提供了有效的解决方案.
- 变量贝叶斯推理提供了一个高效的计算策略.
- 这种方法提高了IRT在心理特征评估中的应用.
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