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A local-influence-based diagnostic approach to a speeded item response theory model
Authors:Yuri Goegebeur  Paul De Boeck  Geert Molenberghs   Guido del Pino
Affiliation:Katholieke Universiteit Leuven, Belgium, and University of Southern Denmark, Odense, Denmark; Katholieke Universiteit Leuven, Belgium; Hasselt University, Diepenbeek, Belgium; Pontificia Universidad Católica de Chile, Santiago, Chile
Abstract:
Summary.  An item response theory model for dealing with omitted responses in a test is proposed. In this model formulation, non-response does not only depend on an examinee's ability and on item difficulty, but additionally also on 'test speededness'. Using a local-influence-based diagnostic approach, the sensitivity of the model regarding assumptions concerning the drop-out mechanism is explored. The methodology proposed is applied to the Chilean Sistema de Medición de la Calidad de la Educación mathematics test case-study.
Keywords:Item response theory    Local influence    Missing data    'Test speededness'
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