A unified theory of the completeness of Q-matrices for the DINA model

DOI10.1007/s00357-021-09384-7OpenAlexW3139960947MaRDI QIDQ2075722

Chia-Yi Chiu, Hans-Friedrich Köhn

Publication date: 15 February 2022

Published in: Journal of Classification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00357-021-09384-7

zbMATH Keywords

completenessDINA modelcognitive diagnosisQ-matrixattribute hierarchygeneral DCMlatent attribute space

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Cites Work

• A general method of empirical Q-matrix validation
• The reduced RUM as a logit model: parameterization and constraints
• A procedure for assessing the completeness of the Q-matrices of cognitively diagnostic tests
• The generalized DINA model framework
• Defining a family of cognitive diagnosis models using log-linear models with latent variables
• Cluster analysis for cognitive diagnosis: theory and applications
• Bayesian estimation of the DINA \(Q\) matrix
• A Gibbs sampling algorithm that estimates the \(Q\)-matrix for the DINA model
• Partial identifiability of restricted latent class models
• A constrained Metropolis-Hastings Robbins-Monro algorithm for \(\boldsymbol{Q}\) matrix estimation in DINA models
• Estimating multiple classification latent class models
• Higher-order latent trait models for cognitive diagnosis
• Attribute hierarchy models in cognitive diagnosis: identifiability of the latent attribute space and conditions for completeness of the Q-matrix
• The sufficient and necessary condition for the identifiability and estimability of the DINA Model
• Theory of self-learning \(Q\)-matrix
• Hierarchical diagnostic classification models: a family of models for estimating and testing attribute hierarchies
• Statistical Analysis ofQ-Matrix Based Diagnostic Classification Models
• 31A Review of Cognitively Diagnostic Assessment and a Summary of Psychometric Models
• 31B Some Notes on Models for Cognitively Based Skills Diagnosis

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