D-optimal sequential sampling designs for item response theory models

Martijn P.F. Berger

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    The selection of optimal designs in IRT models encounters at least two problems. The first problem is that Fisher’s information matrix is generally not independent of the values of the IRT parameters, and the second problem is that the design points are unknown parameters and have to be estimated together with the other parameters. In this study, these two problems are taken care of by a sequential design procedure. This procedure is a modification of a D-optimality procedure proposed by Wynn (1970). The results show that this algorithm leads to consistent estimates and that errors in selecting the abilities generally do not affect optimality very much.
    Original languageEnglish
    Pages (from-to)43-56
    Number of pages14
    JournalJournal of educational statistics
    Issue number1
    Publication statusPublished - 1994


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