caa a22 4500 606241922 CHVBK 20210128101315.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s11336-014-9427-8 doi (NATIONALLICENCE)springer-10.1007/s11336-014-9427-8 A Race Model for Responses and Response Times in Tests [Elektronische Daten] [Jochen Ranger, Jörg-Tobias Kuhn, José-Luis Gaviria] Latent trait models for responses and response times in tests are often pure statistical models without a close connection to features of the assumed response process. In the present paper, a new model is presented that is more closely related to assumptions about the response process. The model is based on two increasing stochastic processes. Each stochastic process represents the accumulation of knowledge with respect to one of two response options, the correct and incorrect response. Both accumulators compete and the accumulator that first exceeds a critical level determines the response. General assumptions about the accumulators result in a race between two response times that follow a bivariate Birnbaum Saunders distribution. The model can be calibrated with marginal maximum likelihood estimation. Feasibility of the estimation approach is demonstrated in a simulation study. Additionally, a test of model fit is proposed. Finally, the model will be used for the analysis of an empirical data set. The Psychometric Society, 2014 item response model nationallicence response time model nationallicence process model nationallicence birnbaum saunders distribution nationallicence Ranger Jochen Martin-Luther-University Halle-Wittenberg, Halle, Germany aut Kuhn Jörg-Tobias University of Münster, Munster, Germany aut Gaviria José-Luis Departamento de métodos de investigación y diagnóstico en educación, Universidad complutense de madrid, Madrid, Spain aut Psychometrika Springer US; http://www.springer-ny.com 80/3(2015-09-01), 791-810 0033-3123 80:3<791 2015 80 11336 https://doi.org/10.1007/s11336-014-9427-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-014-9427-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ranger Jochen Martin-Luther-University Halle-Wittenberg, Halle, Germany aut NATIONALLICENCE 700 1- Kuhn Jörg-Tobias University of Münster, Munster, Germany aut NATIONALLICENCE 700 1- Gaviria José-Luis Departamento de métodos de investigación y diagnóstico en educación, Universidad complutense de madrid, Madrid, Spain aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/3(2015-09-01), 791-810 0033-3123 80:3<791 2015 80 11336