论文标题
认知诊断中的桥接参数和非参数方法
Bridging Parametric and Nonparametric Methods in Cognitive Diagnosis
论文作者
论文摘要
已经开发并应用了许多用于估计认知诊断模型（CDM）的参数和非参数方法。但是，在文献中，这两个方法家族之间存在着广泛的鸿沟，而它们之间的关系却不理解。在本文中，我们提出了一个统一的估计框架，以弥合认知诊断中参数和非参数方法之间的鸿沟，以更好地理解其关系。我们还开发了迭代的关节估计算法并在提议的框架内建立一致性属性。最后，我们提出了全面的仿真结果，以比较不同的方法，并提供有关在各种CDM环境中适当使用拟议框架的实用建议。
A number of parametric and nonparametric methods for estimating cognitive diagnosis models (CDMs) have been developed and applied in a wide range of contexts. However, in the literature, a wide chasm exists between these two families of methods, and their relationship to each other is not well understood. In this paper, we propose a unified estimation framework to bridge the divide between parametric and nonparametric methods in cognitive diagnosis to better understand their relationship. We also develop iterative joint estimation algorithms and establish consistency properties within the proposed framework. Lastly, we present comprehensive simulation results to compare different methods, and provide practical recommendations on the appropriate use of the proposed framework in various CDM contexts.
