Statistical applications to cognitive diagnostic testing

S Zhang, J Liu, Z Ying - Annual Review of Statistics and Its …, 2023 - annualreviews.org
Diagnostic classification tests are designed to assess examinees' discrete mastery status on
a set of skills or attributes. Such tests have gained increasing attention in educational and …

Identifying latent structures in restricted latent class models

G Xu, Z Shang - Journal of the American Statistical Association, 2018 - Taylor & Francis
This article focuses on a family of restricted latent structure models with wide applications in
psychological and educational assessment, where the model parameters are restricted via a …

Statistical applications in educational measurement

HH Chang, C Wang, S Zhang - Annual Review of Statistics and …, 2021 - annualreviews.org
Educational measurement assigns numbers to individuals based on observed data to
represent individuals' educational properties such as abilities, aptitudes, achievements …

The sufficient and necessary condition for the identifiability and estimability of the DINA model

Y Gu, G Xu - Psychometrika, 2019 - Springer
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 …

A sparse latent class model for cognitive diagnosis

Y Chen, S Culpepper, F Liang - Psychometrika, 2020 - Springer
Cognitive diagnostic models (CDMs) are latent variable models developed to infer latent
skills, knowledge, or personalities that underlie responses to educational, psychological …

Partial identifiability of restricted latent class models

Y Gu, G Xu - The Annals of Statistics, 2020 - JSTOR
Latent class models have wide applications in social and biological sciences. In many
applications, prespecified restrictions are imposed on the parameter space of latent class …

A hidden Markov model for learning trajectories in cognitive diagnosis with application to spatial rotation skills

Y Chen, SA Culpepper, S Wang… - Applied psychological …, 2018 - journals.sagepub.com
The increasing presence of electronic and online learning resources presents challenges
and opportunities for psychometric techniques that can assist in the measurement of abilities …

Sufficient and necessary conditions for the identifiability of the Q-matrix

Y Gu, G Xu - Statistica Sinica, 2021 - JSTOR
Restricted latent class models (RLCMs) have recently gained prominence in educational
assessment, psychiatric evaluation, and medical diagnosis. In contrast to conventional latent …

Estimating the cognitive diagnosis Q matrix with expert knowledge: Application to the fraction-subtraction dataset

SA Culpepper - Psychometrika, 2019 - Springer
Cognitive diagnosis models (CDMs) are an important psychometric framework for classifying
students in terms of attribute and/or skill mastery. The QQ matrix, which specifies the …

Item Response Theory--A Statistical Framework for Educational and Psychological Measurement

Y Chen, X Li, J Liu, Z Ying - arXiv preprint arXiv:2108.08604, 2021 - arxiv.org
Item response theory (IRT) has become one of the most popular statistical models for
psychometrics, a field of study concerned with the theory and techniques of psychological …