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Observed-score equating as a test assembly problem

Authors
  • van der Linden, Wim J.1
  • Luecht, Richard M.2
  • 1 University of Twente, Department of Educational Measurement and Data Analysis, Enschede, 7500 AE, The Netherlands , Enschede
  • 2 National Board of Medical Examiners, USA
Type
Published Article
Journal
Psychometrika
Publisher
Springer-Verlag
Publication Date
Dec 01, 1998
Volume
63
Issue
4
Pages
401–418
Identifiers
DOI: 10.1007/BF02294862
Source
Springer Nature
Keywords
License
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Abstract

A set of linear conditions on item response functions is derived that guarantees identical observed-score distributions on two test forms. The conditions can be added as constraints to a linear programming model for test assembly that assembles a new test form to have an observed-score distribution optimally equated to the distribution on an old form. For a well-designed item pool and items fitting the IRT model, use of the model results into observed-score pre-equating and prevents the necessity ofpost hoc equating by a conventional observed-score equating method. An empirical example illustrates the use of the model for an item pool from the Law School Admission Test.

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