Asymptotic posterior normality of multivariate latent traits in an IRT model

DOI10.1007/s11336-021-09838-2zbMath1497.62304OpenAlexW4210973188WikidataQ115231116 ScholiaQ115231116MaRDI QIDQ2088936

Maria Kateri, Mia J. K. Kornely

Publication date: 6 October 2022

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-021-09838-2

zbMATH Keywords

consistencyempirical BayesBernstein-von Mises theoremposterior distributionnormal approximationmultidimensional item response theoryability estimation

Mathematics Subject Classification ID

Applications of statistics to psychology (62P15)

Uses Software

• GLLAMM
• ltm

Cites Work

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• The asymptotic posterior normality of the latent trait for polytomous IRT models
• Fitting and testing conditional multinormal partial credit models
• Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability
• Asymptotic normality of posterior distributions in high-dimensional linear models
• Normal approximation to the posterior distribution for generalized linear models with many covariates
• On convergence of posterior distributions
• High-dimensional maximum marginal likelihood item factor analysis by adaptive quadrature
• The Dutch Identity: a new tool for the study of item response models
• The asymptotic posterior normality of the latent trait in an IRT model

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