A Gibbs sampler for the multidimensional item response model

DOI10.5402/2012/269385zbMath1264.60055OpenAlexW2166128705WikidataQ58690180 ScholiaQ58690180MaRDI QIDQ1954359

Yanyan Sheng, Todd C. Headrick

Publication date: 11 June 2013

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/269385

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Markov processes: estimation; hidden Markov models (62M05)

Related Items

Slice sampling algorithm for estimating the item response theory model with ordinal response data, An Investigation of Parameter Recovery in MCMC Estimation for the Additive IRT Model

Uses Software

• BayesDA
• BMIRT ToolKit
• mlirt
• IRTm2noHA
• IRTmu2no

Cites Work

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• Markov chains for exploring posterior distributions. (With discussion)
• MCMC estimation and some model-fit analysis of multidimensional IRT models
• Statistical theory for logistic mental test models with a prior distribution of ability
• Bayesian Irt Models Incorporating General and Specific Abilities
• Cholesky Decompositions and Estimation of A Covariance Matrix: Orthogonality of Variance Correlation Parameters
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• The Calculation of Posterior Distributions by Data Augmentation
• Item Response Theory