optical - Optimal Item Calibration
The restricted optimal design method is implemented to
optimally allocate a set of items that require calibration to a
group of examinees. The optimization process is based on the
method described in detail by Ul Hassan and Miller in their
works published in (2019) <doi:10.1007/s11336-019-09673-6> and
(2021) <doi:10.1016/j.csda.2021.107177>. To use the method,
preliminary item characteristics must be provided as input.
These characteristics can either be expert guesses or based on
previous calibration with a small number of examinees. The item
characteristics should be described in the form of parameters
for an Item Response Theory (IRT) model. These models can
include the Rasch model, the 2-parameter logistic model, the
3-parameter logistic model, or a mixture of these models. The
output consists of a set of rules for each item that determine
which examinees should be assigned to each item. The efficiency
or gain achieved through the optimal design is quantified by
comparing it to a random allocation. This comparison allows for
an assessment of how much improvement or advantage is gained by
using the optimal design approach. This work was supported by
the Swedish Research Council (Vetenskapsrådet) Grant
2019-02706.