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: Jean-Paul Fox, Rinke Klein Entink, Wilm van der Linden
Title: Modeling of Responses and Response Times with the Package cirt
Abstract: In computerized testing, the test takers' responses as well as their response times on the items are recorded. The relationship between response times and response accuracies is complex and varies over levels of observation. For example, it takes the form of a tradeoff between speed and accuracy at the level of a fixed person but may become a positive correlation for a population of test takers. In order to explore such relationships and test hypotheses about them, a conjoint model is proposed. Item responses are modeled by a two-parameter normal-ogive IRT model and response times by a lognormal model. The two models are combined using a hierarchical framework based on the fact that response times and responses are nested within individuals. All parameters can be estimated simultaneously using an MCMC estimation approach. A R-package for the MCMC algorithm is presented and explained.

Page views:: 8319. Submitted: 2006-10-01. Published: 2007-02-22.
Paper: Modeling of Responses and Response Times with the Package cirt     Download PDF (Downloads: 8757)
Supplements: v20i07.R: R example code from the paper Download (Downloads: 2680; 506B)
cirt_1.0.tar.gz: R source package Download (Downloads: 2682; 1MB)

DOI: 10.18637/jss.v020.i07

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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.