Using the Stan Program for Bayesian Item Response Theory

Educational and Psychological Measurement
Yong Luo, Hong Jiao

Abstract

Stan is a new Bayesian statistical software program that implements the powerful and efficient Hamiltonian Monte Carlo (HMC) algorithm. To date there is not a source that systematically provides Stan code for various item response theory (IRT) models. This article provides Stan code for three representative IRT models, including the three-parameter logistic IRT model, the graded response model, and the nominal response model. We demonstrate how IRT model comparison can be conducted with Stan and how the provided Stan code for simple IRT models can be easily extended to their multidimensional and multilevel cases.

References

Jun 1, 1984·IEEE Transactions on Pattern Analysis and Machine Intelligence·S Geman, D Geman
Aug 1, 2015·Educational and Psychological Measurement·Allison J Ames, Kelli Samonte

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Citations

Feb 2, 2019·Tropical Medicine & International Health : TM & IH·Janet DouglassPatricia Graves
Jan 14, 2020·Journal of the Korean Statistical Society·Yang LiuMing-Hui Chen
Jan 9, 2019·Frontiers in Psychology·Ren Liu, Zhehan Jiang
May 10, 2019·Frontiers in Psychology·Yi-Hsuan LeeLu Ou
May 18, 2019·Psychometrika·Konrad Klotzke, Jean-Paul Fox
Jun 28, 2018·Behavior Research Methods·Zhehan Jiang, Richard Carter
Feb 9, 2020·Journal of Intelligence·Paul-Christian Bürkner

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Software Mentioned

loo
Linux
Julia
JAGS
Stan
ShinyStan
Stan Manual
GRM
SAS
Python

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