A generalized linear factor model approach to the hierarchical framework for responses and response times. (11th August 2014)

• Record Type: Journal Article
• Authors: Molenaar, Dylan; Tuerlinckx, Francis; van der Maas, Han L. J.
• Is Part Of: British journal of mathematical & statistical psychology. Volume 68:Part 2(2015:May)
• Page Start: 197
• Page End: 219
• Publication Date: 2014-08-11
• Subjects: Psychometrics -- Periodicals; Psychology -- Mathematical models -- Periodicals; Psychology -- Statistical methods -- Periodicals; 150.727
• DOI: 10.1111/bmsp.12042
• Languages: English
• ISSNs: 0007-1102

Abstract

<abstract abstract-type="main" id="bmsp12042-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p>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.</p> </abstract>