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 …

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 …

An exploratory diagnostic model for ordinal responses with binary attributes: Identifiability and estimation

SA Culpepper - Psychometrika, 2019 - Springer
Diagnostic models (DMs) provide researchers and practitioners with tools to classify
respondents into substantively relevant classes. DMs are widely applied to binary response …

A sequential exploratory diagnostic model using a Pólya‐gamma data augmentation strategy

A Jimenez, JJ Balamuta… - British Journal of …, 2023 - Wiley Online Library
Cognitive diagnostic models provide a framework for classifying individuals into latent
proficiency classes, also known as attribute profiles. Recent research has examined the …

New paradigm of identifiable general-response cognitive diagnostic models: beyond categorical data

S Lee, Y Gu - psychometrika, 2024 - Springer
Cognitive diagnostic models (CDMs) are a popular family of discrete latent variable models
that model students' mastery or deficiency of multiple fine-grained skills. CDMs have been …

Exploratory restricted latent class models with monotonicity requirements under POLYA–GAMMA data augmentation

JJ Balamuta, SA Culpepper - psychometrika, 2022 - Springer
Restricted latent class models (RLCMs) provide an important framework for supporting
diagnostic research in education and psychology. Recent research proposed fully …