The selection of items from a calibrated item bank for
fixed-form tests is an optimal test design problem; this
problem has been handled in the literature by mathematical
programming models. A similar problem, however,
arises when items are selected for an adaptive test or for
testlets. This paper focuses on the similarities of optimal
design of fixed-form tests, adaptive tests, and testlets
within the framework of the general theory of optimal
designs. A sequential design procedure is proposed that
uses these similarities. This procedure not only enables
optimal design of fixed-form tests, adaptive tests, and
testlets, but is also very flexible. The procedure is easy to
apply, and consistent estimates for the trait level
distribution are obtained. Index terms: adaptive tests,
consistency, efficiency, optimal test design, sequential
procedure, test design, testlets.
Berger, Martijn P. F..
A General Approach to Algorithmic Design of Fixed-Form Tests, Adaptive Tests, and Testlets.
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