title: A generalized linear factor model approach to the hierarchical framework for responses and response times.
abstract: We show how the hierarchical model for responses and response times as developed by van der Linden (2007), Fox, Klein Entink, and van der Linden (2007), Klein Entink, Fox, and van der Linden (2009), and Glas and van der Linden (2010) can be simplified to a generalized linear factor model with only the mild restriction that there is no hierarchical model at the item side. This result is valuable as it enables all well-developed modelling tools and extensions that come with these methods. We show that the restriction we impose on the hierarchical model does not influence parameter recovery under realistic circumstances. In addition, we present two illustrative real data analyses to demonstrate the practical benefits of our approach.
authors.affiliation: University of Amsterdam, The Netherlands.
authors.forename: Dylan
authors.initials: D
authors.lastname: Molenaar
authors.forename: Francis
authors.initials: F
authors.lastname: Tuerlinckx
authors.forename: Han L J
authors.initials: HL
authors.lastname: van der Maas
mesh_terms: D000465:Algorithms; D005163:Factor Analysis, Statistical; D006801:Humans; D016014:Linear Models; D011581:Psychological Tests / Q000706:statistics & numerical data*; D011594:Psychometrics / Q000706:statistics & numerical data*; D011930:Reaction Time; D015203:Reproducibility of Results
keywords: censoring; conditional independence; generalized linear factor model; method variance; response time modelling