Cognitive Diagnosis Models: Identifiability, Estimation, and Applications

认知诊断模型(CDM)是教育、心理学和其他社会科学中最先进的心理测量模型。这一研究项目将介绍一个全面的理论和方法框架，使基于清洁发展机制的评估的构建和分析更加可行。这一发展将提供对认知评估所涉及的技能和认知过程的更好理解。从社会的角度来看，CDMS与认知科学和学习科学的结合将为识别学生在技能获得方面遇到的具体问题和困难提供强大的工具。这一跨学科研究项目将帮助设计一份蓝图，以制定出及时、适当和有针对性的干预措施。该项目的成果有可能对STEM教育和学生的培训产生积极的影响。研究生将参与这项研究的进行。还将开发公开可用的软件。这项研究项目解决了CDM的基本可识别性和估计问题。具体地说，该项目将解决一般疾病预防控制措施的可识别问题，并为设计可识别和统计有效的诊断测试提供实用指南。该项目将解决Q矩阵验证和估计这一具有挑战性的问题。该研究将开发计算高效的方法来估计Q-矩阵，并检测可能的Q-矩阵的错误指定，并提供相关的理论证明。该项目还将开发一个可访问的计算机程序，该程序可以与所提出的理论和方法结合使用。为了验证估计方法的性能，将进行广泛的仿真研究，并将分析各种真实数据集。

Cognitive diagnosis models (CDMs) are state-of-the-art psychometric models in education, psychology, and other social sciences. This research project will introduce a comprehensive theoretical and methodological framework that will make construction and analysis of CDM-based assessments more practicable. This development will provide a better understanding of the skills and cognitive processes involved in cognitive assessments. From a societal perspective, the integration of CDMs with cognitive and learning sciences will provide a powerful tool for identifying specific problems and difficulties that students encounter in skill acquisition. This interdisciplinary research project will help design a blueprint for mapping out timely, appropriate, and targeted interventions. The results of this project have the potential to positively impact STEM education and the training of students. Graduate students will be involved in the conduct of the research. Publicly available software also will be developed.This research project addresses fundamental identifiability and estimation issues of CDMs. Specifically, the project will address identifiability issues for general CDMs and provide practical guidelines for designing identifiable and statistical valid diagnosis tests. The project will address the challenging issue of Q-matrix validation and estimation. The research will develop computationally efficient methods to estimate the Q-matrix and detect possible misspecification of the Q-matrix and provide the related theoretical justification. The project also will develop an accessible computer program that can be used in conjunction with the proposed theory and methods. Extensive simulation studies will be performed to validate the performance of the estimation methods, and a variety of real data sets will be analyzed.