Optimization of Classical Reliability in Test Construction

Ronald D. Armstrong, Douglas H. Jones and Zhaobo Wang

Journal of Educational and Behavioral Statistics, 1998, vol. 23, issue 1, 1-17

Abstract: This article considers the problem of generating a test from an item bank using a criterion based on classical test theory parameters. A mathematical programming model is formulated that maximizes the reliability coefficient α, subject to logical constraints on the choice of items. The special structure of the problem is exploited with network theory and Lagrangian relaxation techniques. An empirical study shows that the method produces tests with high coefficient a subject to various practicable item constraints.

Keywords: Keywords: classical test theory; Lagrangian relaxation; network flows; optimal reliability; test design; transshipment problem (search for similar items in EconPapers)
Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
https://journals.sagepub.com/doi/10.3102/10769986023001001 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:23:y:1998:i:1:p:1-17

DOI: 10.3102/10769986023001001

Access Statistics for this article

More articles in Journal of Educational and Behavioral Statistics
Bibliographic data for series maintained by SAGE Publications ().