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This paper establishes fundamental results for statistical inference of diagnostic classification models (DCM). The results are developed at a high level of generality, applicable to essentially all diagnostic classification models. In…

统计理论 · 数学 2025-01-08 Guanhua Fang , Jingchen Liu , Zhiliang Ying

Cognitive diagnosis models (CDMs) are a family of discrete latent attribute models that serve as statistical basis in educational and psychological cognitive diagnosis assessments. CDMs aim to achieve fine-grained inference on individuals'…

统计方法学 · 统计学 2022-08-08 Zhuoran Shang , Elena A. Erosheva , Gongjun Xu

Diagnostic classification models (DCMs) are psychometric models designed to classify examinees according to their proficiency or non-proficiency of specified latent characteristics. These models are well-suited for providing diagnostic and…

应用统计 · 统计学 2023-08-01 Matthew J. Madison , Stefanie A Wind , Lientje Maas , Kazuhiro Yamaguchi , Sergio Haab

Diagnostic classification models (DCMs) offer statistical tools to inspect the fined-grained attribute of respondents' strengths and weaknesses. However, the diagnosis accuracy deteriorates when misspecification occurs in the predefined…

统计计算 · 统计学 2025-01-08 Motonori Oka , Kensuke Okada

Fueled by the call for formative assessments, diagnostic classification models (DCMs) have recently gained popularity in psychometrics. Despite their potential for providing diagnostic information that aids in classroom instruction and…

统计计算 · 统计学 2022-08-26 Motonori Oka , Kensuke Okada

Cognitive Diagnosis Models (CDMs) are a special family of discrete latent variable models that are widely used in modern educational, psychological, social and biological sciences. A key component of CDMs is a binary $Q$-matrix…

统计方法学 · 统计学 2025-01-08 Chenchen Ma , Gongjun Xu

Cognitive diagnosis models (CDMs) are restricted latent class models widely used to measure attributes of interest in diagnostic assessments across education, psychology, biomedical sciences, and related fields. Partial-mastery CDMs…

统计方法学 · 统计学 2026-04-16 Camilo Cárdenas-Hurtado , Sze Ming Lee , Yunxiao Chen , Irini Moustaki

Reading is foundational for educational, employment, and economic outcomes, but a persistent proportion of students globally struggle to develop adequate reading skills. Some countries promote digital tools to support reading development,…

应用统计 · 统计学 2026-03-19 Yawen Ma , Anastasia Ushakova , Kate Cain , Gabriel Wallin

Cognitive diagnosis models have been widely used in different areas, especially intelligent education, to measure users' proficiency levels on knowledge concepts, based on which users can get personalized instructions. As the measurement is…

计算机与社会 · 计算机科学 2024-03-25 Fei Wang , Qi Liu , Enhong Chen , Chuanren Liu , Zhenya Huang , Jinze Wu , Shijin Wang

Recent surge of interests in cognitive assessment has led to the developments of novel statistical models for diagnostic classification. Central to many such models is the well-known Q-matrix, which specifies the item-attribute…

统计方法学 · 统计学 2011-06-06 Jingchen Liu , Gongjun Xu , Zhiliang Ying

Machine learning continues to grow in popularity in academia, in industry, and is increasingly used in other fields. However, most of the common metrics used to evaluate even simple binary classification models have shortcomings that are…

机器学习 · 计算机科学 2024-12-25 David H. Brown , Davide Chicco

If the probability model is correctly specified, then we can estimate the covariance matrix of the asymptotic maximum likelihood estimate distribution using either the first or second derivatives of the likelihood function. Therefore, if…

统计方法学 · 统计学 2024-11-06 Reyhaneh Hosseinpourkhoshkbari , Richard M. Golden

The study of precision medicine involves dynamic treatment regimes (DTRs), which are sequences of treatment decision rules recommended by taking patient-level information as input. The primary goal of the DTR study is to identify an optimal…

统计方法学 · 统计学 2024-12-11 Dan Liu , Wenqing He

Dynamic Causal Modeling (DCM) is a Bayesian framework for inferring on hidden (latent) neuronal states, based on measurements of brain activity. Since its introduction in 2003 for functional magnetic resonance imaging data, DCM has been…

定量方法 · 定量生物学 2021-04-08 Inês Pereira , Stefan Frässle , Jakob Heinzle , Dario Schöbi , Cao Tri Do , Moritz Gruber , Klaas E. Stephan

Digital learning platforms are increasingly used to support reading development while generating rich log files and item-level textual content. Using these data, this study proposes a dynamic cognitive diagnostic modelling (CDM) framework…

统计方法学 · 统计学 2026-04-09 Yawen Ma , Sahoko Ishida , Kate Cain , Gabriel Wallin

Cognitive diagnosis model (CDM) is a fundamental and upstream component in intelligent education. It aims to infer students' mastery levels based on historical response logs. However, existing CDMs usually follow the ID-based embedding…

人工智能 · 计算机科学 2024-10-22 Yuanhao Liu , Shuo Liu , Yimeng Liu , Jingwen Yang , Hong Qian

Diagnostic accuracy studies assess sensitivity and specificity of a new index test in relation to an established comparator or the reference standard. The development and selection of the index test is usually assumed to be conducted prior…

统计方法学 · 统计学 2022-08-30 Max Westphal , Antonia Zapf

Given data obtained under two sampling conditions, it is often of interest to identify variables that behave differently in one condition than in the other. We introduce a method for differential analysis of second-order behavior called…

统计方法学 · 统计学 2016-02-26 Kelly Bodwin , Kai Zhang , Andrew Nobel

Evaluating the disruptive nature of academic ideas is a new area of research evaluation that moves beyond standard citation-based metrics by taking into account the broader citation context of publications or patents. The "$CD$ index" and a…

数字图书馆 · 计算机科学 2023-09-13 Michele Pasin , Joerg Sixt

Cognitive Diagnosis Models (CDMs) are useful statistical tools in cognitive diagnosis assessment. However, as many other latent variable models, the CDMs often suffer from the non-identifiability issue. This work gives the sufficient and…

统计方法学 · 统计学 2025-01-08 Yuqi Gu , Gongjun Xu
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