Multiple Objective Test Assembly Problems

Mathematical programming techniques for optimal test assembly are discussed. Most methods optimize a single objective: for instance, the amount of information in a test, subject to a number of constraints. However, some test assembly problems have multiple objectives. A recent example in the literat...

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Bibliographic Details
Published inJournal of educational measurement Vol. 36; no. 3; pp. 253 - 266
Main Author Veldkamp, Bernard P.
Format Journal Article
LanguageEnglish
Published Oxford, UK Blackwell Publishing Ltd 01.09.1999
National Council on Measurement in Education
Subjects
Educational Objectives
Goal programming
Heuristics
Item Banks
Mathematical functions
Mathematical programming
Mathematics Tests
Maximin
Objective functions
Objective tests
Optimal solutions
Simulated annealing
Term weighting
Test Construction
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Summary:Mathematical programming techniques for optimal test assembly are discussed. Most methods optimize a single objective: for instance, the amount of information in a test, subject to a number of constraints. However, some test assembly problems have multiple objectives. A recent example in the literature is the problem of assembling test that measure multiple traits, where the amount of information in the test about each different trait has to be maximized. The present paper proposes methods appropriate for solving multiple objective test assembly problems. An overview of multiple objective optimization methods is given. The impact of the method on the optimality of the solution is shown and the appropriateness of the methods is discussed. The methods are illustrated using an empirical example of a test assembly problem for a two-dimensional mathematics item pool.
Bibliography:istex:E1C919359D083E8B6A7AA5DDC280697B1F76639B
ark:/67375/WNG-7NZQZJV7-H
ArticleID:JEDM253
ISSN:0022-0655
1745-3984
DOI:10.1111/j.1745-3984.1999.tb00557.x