Optimization of Classical Reliability in Test Construction

Generating a test from an item bank using a criterion based on classical test theory parameters poses considerable problems. A mathematical model is formulated that maximizes the reliability coefficient alpha, subject to logical constraints on the choice of items. Theorems ensuring appropriate appli...

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Bibliographic Details
Published inJournal of educational and behavioral statistics Vol. 23; no. 1; p. 1
Main Authors Armstrong, Ronald D, Jones, Douglas H, Wang, Zhaobo
Format Journal Article
LanguageEnglish
Published 1998
Subjects
Item Banks
Mathematical Models
Reliability
Test Construction
Test Items
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Summary:Generating a test from an item bank using a criterion based on classical test theory parameters poses considerable problems. A mathematical model is formulated that maximizes the reliability coefficient alpha, subject to logical constraints on the choice of items. Theorems ensuring appropriate application of the Lagragian relation techniques are presented. (MAK/Author)
ISSN:1076-9986
DOI:10.2307/1165345