Published by the Foundation for Open Access Statistics Editors-in-chief: Bettina Grün, Torsten Hothorn, Rebecca Killick, Edzer Pebesma, Achim Zeileis    ISSN 1548-7660; CODEN JSSOBK
Authors: Yanyan Sheng
Title: Markov Chain Monte Carlo Estimation of Normal Ogive IRT Models in MATLAB
Abstract: Modeling the interaction between persons and items at the item level for binary response data, item response theory (IRT) models have been found useful in a wide variety of applications in various fields. This paper provides the requisite information and description of software that implements the Gibbs sampling procedures for the one-, two- and three-parameter normal ogive models. The software developed is written in the MATLAB package IRTuno. The package is flexible enough to allow a user the choice to simulate binary response data, set the number of total or burn-in iterations, specify starting values or prior distributions for model parameters, check convergence of the Markov chain, and obtain Bayesian fit statistics. Illustrative examples are provided to demonstrate and validate the use of the software package. The m-file v25i08.m is also provided as a guide for the user of the MCMC algorithms with the three dichotomous IRT models.

Page views:: 7448. Submitted: 2007-09-05. Published: 2008-04-03.
Paper: Markov Chain Monte Carlo Estimation of Normal Ogive IRT Models in MATLAB     Download PDF (Downloads: 7861)
Supplements: ZIP archive with IRTuno source code and demo script Download (Downloads: 1370; 5KB)
v25i08.m: MATLAB script with examples from the paper Download (Downloads: 1595; 8KB)
english.dat: Data file with CBASE data Download (Downloads: 1285; 51KB)

DOI: 10.18637/jss.v025.i08

This work is licensed under the licenses
Paper: Creative Commons Attribution 3.0 Unported License
Code: GNU General Public License (at least one of version 2 or version 3) or a GPL-compatible license.