[HTML][HTML] 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 …

[HTML][HTML] Implementation aspects in regularized structural equation models

A Robitzsch - Algorithms, 2023 - mdpi.com
This article reviews several implementation aspects in estimating regularized single-group
and multiple-group structural equation models (SEM). It is demonstrated that approximate …

Tracking knowledge proficiency of students with calibrated Q-matrix

W Wang, H Ma, Y Zhao, Z Li, X He - Expert Systems with Applications, 2022 - Elsevier
With the emergence of intelligent educational systems, numerous research works are
dedicated to Knowledge Tracing (KT), which refers to the issue of diagnosing students' …

Rungang Han and Anru R. Zhangs contribution to the Discussion of 'Vintage factor analysis with varimax performs statistical inference'by Rohe & Zeng

R Han, AR Zhang - Journal of the Royal Statistical Society Series …, 2023 - academic.oup.com
In the 1930s, Psychologists began developing Multiple-Factor Analysis to decompose
multivariate data into a small number of interpretable factors without any a priori knowledge …

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 …

[HTML][HTML] Determining the number of attributes in cognitive diagnosis modeling

P Nájera, FJ Abad, MA Sorrel - Frontiers in Psychology, 2021 - frontiersin.org
Cognitive diagnosis models (CDMs) allow classifying respondents into a set of discrete
attribute profiles. The internal structure of the test is determined in a Q-matrix, whose correct …

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 …