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The sequential probability ratio test for multidimensional adaptive testing with between-item multidimensionality

Keywords: classification , computerized adaptive testing , item response theory , multidimensional adaptive testing , sequential probability ratio test

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Abstract:

It is examined whether the unidimensional Sequential Probability Ratio Test (SPRT) can be pro-ductively combined with multidimensional adaptive testing (MAT). With a simulation study, it is investigated whether this combination results in more accurate simultaneous classifications on two or three dimensions compared to several instances of unidimensional adaptive testing (UCAT) in combination with SPRT. The number of cut scores, and the correlation between the dimensions measured were varied. The average test length was mainly influenced by the number of cut scores (one, four) and the adaptive algorithm (MAT, UCAT). With MAT, a lower average test length was achieved in comparison to the UCAT. It is concluded that MAT will result in a higher percentage of correct classifications than UCAT when more than two dimensions are measured.

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