A Gibbs sampler for the (extended) marginal Rasch model

DOI10.1007/s11336-015-9479-4zbMath1329.62462OpenAlexW2130968311WikidataQ40402013 ScholiaQ40402013MaRDI QIDQ906040

Gunter Maris, Ernesto San Martín, Timo M. Bechger

Publication date: 29 January 2016

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-015-9479-4

zbMATH Keywords

item response theoryGibbs samplerextended Rasch modelmarginal Rasch model

Mathematics Subject Classification ID

Bayesian inference (62F15) Numerical analysis or methods applied to Markov chains (65C40) Applications of statistics to psychology (62P15)

Uses Software

• R

Cites Work

• Unnamed Item
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• Fitting and testing conditional multinormal partial credit models
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• A Rasch model for partial credit scoring
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• Bayesian estimation of a multilevel IRT model using Gibbs sampling
• MCMC estimation and some model-fit analysis of multidimensional IRT models
• Estimating item parameters and latent ability when responses are scored in two or more nominal categories
• Loglinear representations of multivariate Bernoulli Rasch models
• Sampling-Based Approaches to Calculating Marginal Densities
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• Adaptive Rejection Sampling for Gibbs Sampling
• Bayesian Analysis of Binary and Polychotomous Response Data

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