Multidimensional adaptive testing with a minimum error-variance criterion

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Abstract

Adaptive testing under a multidimensional logistic response model is addressed. An algorithm is proposed that minimizes the (asymptotic) variance of the maximum-likelihood estimator of a linear combination of abilities of interest. The criterion results in a closed-form expression that is easy to evaluate. In addition, it is shown how the algorithm can be modified if the interest is in a test with a "simple ability structure". The statistical properties of the adaptive ML estimator are demonstrated for a two-dimensional item pool with several linear combinations of the abilities.
Original languageEnglish
Pages (from-to)398-412
Number of pages14
JournalJournal of educational and behavioral statistics
Volume24
Issue number4
DOIs
Publication statusPublished - 1999

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