A flexible latent trait model for response times in tests |
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Authors: | Jochen Ranger Jorg-Tobias Kuhn |
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Institution: | 1. University of Giessen, Giessen, Germany 2. University of Munster, Munster, Germany
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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. |
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