4.4 Article

A Constrained Metropolis-Hastings Robbins-Monro Algorithm for Q Matrix Estimation in DINA Models

Related references

Note: Only part of the references are listed.
Article Mathematics, Interdisciplinary Applications

A note on computing Louis' observed information matrix identity for IRT and cognitive diagnostic models

Chen-Wei Liu et al.

Summary: Louis' formula can be adopted as a standard method for computing the observed information matrix in IRT models and CDMs fitted with the EM algorithm due to its computational efficiency and flexibility, as demonstrated in this paper through real data analyses and Monte Carlo simulations.

BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY (2021)

Article Statistics & Probability

SUFFICIENT AND NECESSARY CONDITIONS FOR THE IDENTIFIABILITY OF THE Q-MATRIX

Yuqi Gu et al.

Summary: Restricted latent class models (RLCMs) have gained popularity in the fields of educational assessment, psychiatric evaluation, and medical diagnosis, with parameters restrictions imposed through a design matrix to respect practitioners' scientific assumptions. The Q-matrix, constructed by practitioners and domain experts, remains subjective and can be misjudged. Researchers have proposed estimating the Q-matrix from sample data to address this issue, however, the fundamental learnability of the Q-matrix and model parameters remains insufficiently explored.

STATISTICA SINICA (2021)

Article Mathematics, Interdisciplinary Applications

An improved stochastic EM algorithm for large-scale full-information item factor analysis

Siliang Zhang et al.

BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY (2020)

Article Mathematics, Interdisciplinary Applications

A Sparse Latent Class Model for Cognitive Diagnosis

Yinyin Chen et al.

PSYCHOMETRIKA (2020)

Article Mathematics, Interdisciplinary Applications

The Sufficient and Necessary Condition for the Identifiability and Estimability of the DINA Model

Yuqi Gu et al.

PSYCHOMETRIKA (2019)

Article Mathematics, Interdisciplinary Applications

An Exploratory Diagnostic Model for Ordinal Responses with Binary Attributes: Identifiability and Estimation

Steven Andrew Culpepper

PSYCHOMETRIKA (2019)

Article Mathematics, Interdisciplinary Applications

Estimating the Cognitive Diagnosis Q Matrix with Expert Knowledge: Application to the Fraction-Subtraction Dataset

Steven Andrew Culpepper

PSYCHOMETRIKA (2019)

Article Education & Educational Research

Development and Application of an Exploratory Reduced Reparameterized Unified Model

Steven Andrew Culpepper et al.

JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICS (2019)

Article Mathematics, Interdisciplinary Applications

Bayesian Estimation of the DINA Q matrix

Yinghan Chen et al.

PSYCHOMETRIKA (2018)

Article Mathematics, Interdisciplinary Applications

Two-Stage maximum likelihood estimation in the misspecified restricted latent class model

Shiyu Wang

BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY (2018)

Article Social Sciences, Mathematical Methods

An EM-Based Method for Q-Matrix Validation

Wenyi Wang et al.

APPLIED PSYCHOLOGICAL MEASUREMENT (2018)

Article Education & Educational Research

On the Estimation of Standard Errors in Cognitive Diagnosis Models

Michel Philipp et al.

JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICS (2018)

Editorial Material Mathematics, Interdisciplinary Applications

On the Consistency of Q-Matrix Estimation: A Commentary

Jingchen Liu

PSYCHOMETRIKA (2017)

Article Statistics & Probability

IDENTIFIABILITY OF RESTRICTED LATENT CLASS MODELS WITH BINARY RESPONSES

Gongjun Xu

ANNALS OF STATISTICS (2017)

Article Mathematics, Interdisciplinary Applications

A General Method of Empirical Q-matrix Validation

Jimmy de la Torre et al.

PSYCHOMETRIKA (2016)

Article Computer Science, Interdisciplinary Applications

The R Package CDM for Cognitive Diagnosis Models

Ann Cathrice George et al.

JOURNAL OF STATISTICAL SOFTWARE (2016)

Article Statistics & Probability

Statistical Analysis of Q-Matrix Based Diagnostic Classification Models

Yunxiao Chen et al.

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (2015)

Article Education & Educational Research

Bayesian Estimation of the DINA Model With Gibbs Sampling

Steven Andrew Culpepper

JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICS (2015)

Article Social Sciences, Interdisciplinary

Cognitive Diagnosis Models in R: A Didactic

Ann Cathrice George et al.

QUANTITATIVE METHODS FOR PSYCHOLOGY (2015)

Article Mathematics, Interdisciplinary Applications

The DINA model as a constrained general diagnostic model: Two variants of a model equivalency

Matthias von Davier

BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY (2014)

Article Mathematics, Interdisciplinary Applications

Hierarchical Diagnostic Classification Models: A Family of Models for Estimating and Testing Attribute Hierarchies

Jonathan Templin et al.

PSYCHOMETRIKA (2014)

Article Computer Science, Theory & Methods

Understanding predictive information criteria for Bayesian models

Andrew Gelman et al.

STATISTICS AND COMPUTING (2014)

Article Education & Educational Research

Estimation of Contextual Effects Through Nonlinear Multilevel Latent Variable Modeling With a Metropolis-Hastings Robbins-Monro Algorithm

Ji Seung Yang et al.

JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICS (2014)

Article Statistics & Probability

Theory of self-learning Q-matrix

Jingchen Liu et al.

BERNOULLI (2013)

Article Education & Educational Research

Obtaining Diagnostic Classification Model Estimates Using Mplus

Jonathan Templin et al.

EDUCATIONAL MEASUREMENT-ISSUES AND PRACTICE (2013)

Article Social Sciences, Mathematical Methods

Data-Driven Learning of Q-Matrix

Jingchen Liu et al.

APPLIED PSYCHOLOGICAL MEASUREMENT (2012)

Article Social Sciences, Mathematical Methods

Recognizing Uncertainty in the Q-Matrix via a Bayesian Extension of the DINA Model

Lawrence T. DeCarlo

APPLIED PSYCHOLOGICAL MEASUREMENT (2012)

Article Mathematics, Interdisciplinary Applications

The Generalized DINA Model Framework

Jimmy de la Torre

PSYCHOMETRIKA (2011)

Article Social Sciences, Mathematical Methods

On the Analysis of Fraction Subtraction Data: The DINA Model, Classification, Latent Class Sizes, and the Q-Matrix

Lawrence T. DeCarlo

APPLIED PSYCHOLOGICAL MEASUREMENT (2011)

Article Education & Educational Research

Stochastic Approximation Methods for Latent Regression Item Response Models

Matthias von Davier et al.

JOURNAL OF EDUCATIONAL AND BEHAVIORAL STATISTICS (2010)

Article Mathematics, Interdisciplinary Applications

HIGH-DIMENSIONAL EXPLORATORY ITEM FACTOR ANALYSIS BY A METROPOLIS-HASTINGS ROBBINS-MONRO ALGORITHM

Li Cai

PSYCHOMETRIKA (2010)

Article Mathematics, Interdisciplinary Applications

Defining a Family of Cognitive Diagnosis Models Using Log-Linear Models with Latent Variables

Robert A. Henson et al.

PSYCHOMETRIKA (2009)

Article Mathematics, Interdisciplinary Applications

A general diagnostic model applied to language testing data

Matthias von Davier

BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY (2008)

Article Psychology, Educational

The effects of Q-Matrix misspecification on parameter estimates and classification accuracy in the DINA model

Andre A. Rupp et al.

EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT (2008)

Article Psychology, Educational

An Empirically Based Method of Q-Matrix Validation for the DINA Model: Development and Applications

Jimmy de la Torre

JOURNAL OF EDUCATIONAL MEASUREMENT (2008)

Article Psychology, Multidisciplinary

Measurement of psychological disorders using cognitive diagnosis models

Jonathan L. Templin et al.

PSYCHOLOGICAL METHODS (2006)

Article Mathematics, Interdisciplinary Applications

Higher-order latent trait models for cognitive diagnosis

J De la Torre et al.

PSYCHOMETRIKA (2004)

Article Social Sciences, Mathematical Methods

Cognitive assessment models with few assumptions, and connections with nonparametric item response theory

BW Junker et al.

APPLIED PSYCHOLOGICAL MEASUREMENT (2001)