Journal article
Authors list: Ranger, Jochen; Kuhn, Jorg-Tobias
Publication year: 2012
Pages: 31-47
Journal: Psychometrika
Volume number: 77
Issue number: 1
ISSN: 0033-3123
eISSN: 1860-0980
DOI Link: https://doi.org/10.1007/s11336-011-9231-7
Publisher: Cambridge University Press
Abstract:
Latent trait models for response times in tests have become popular recently. One challenge for response time modeling is the fact that the distribution of response times can differ considerably even in similar tests. In order to reduce the need for tailor-made models, a model is proposed that unifies two popular approaches to response time modeling: Proportional hazard models and the accelerated failure time model with log-normally distributed response times. This is accomplished by resorting to discrete time. The categorization of response time allows the formulation of a response time model within the framework of generalized linear models by using a flexible link function. Item parameters of the proposed model can be estimated with marginal maximum likelihood estimation. Applicability of the proposed approach is demonstrated with a simulation study and an empirical application. Additionally, means for the evaluation of model fit are suggested.
Citation Styles
Harvard Citation style: Ranger, J. and Kuhn, J. (2012) A flexible latent trait model for response times in tests, Psychometrika, 77(1), pp. 31-47. https://doi.org/10.1007/s11336-011-9231-7
APA Citation style: Ranger, J., & Kuhn, J. (2012). A flexible latent trait model for response times in tests. Psychometrika. 77(1), 31-47. https://doi.org/10.1007/s11336-011-9231-7
Keywords
accelerated failure time model; CONVERGENCE PROPERTIES; IRT; ITEM; MAXIMUM-LIKELIHOOD-ESTIMATION; proportional hazard model; SURVIVAL ANALYSIS