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:10.1177/0146621618824854> 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.
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