Multidimensional Adaptive Testing with a Minimum Error-Variance Criterion

Multidimensional Adaptive Testing with a Minimum Error-Variance Criterion

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 ev...

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Bibliographische Detailangaben
Veröffentlicht in:Journal of Educational and Behavioral Statistics. - SAGE Publishing, 1976. - 24(1999), 4, Seite 398-412
1. Verfasser: van der Linden, Wim J. (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1999
Zugriff auf das übergeordnete Werk:Journal of Educational and Behavioral Statistics
Schlagworte:Adaptive Testing Item Response Theory Maximum-Likelihood Estimation Multidimensionality Mathematics Education Applied sciences Behavioral sciences Business
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520 |a 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. 
540 |a Copyright 1999 The American Educational Research Association and the American Statistical Association 
650 4 |a Adaptive Testing 
650 4 |a Item Response Theory 
650 4 |a Maximum-Likelihood Estimation 
650 4 |a Multidimensionality 
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650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Measures of variability  |x Statistical variance 
650 4 |a Education  |x Formal education  |x Pedagogy  |x Educational methods  |x Educational testing  |x Test theory  |x Item response theory 
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650 4 |a Business  |x Business economics  |x Commercial production  |x Production resources  |x Resource management  |x Logistics 
650 4 |a Mathematics  |x Pure mathematics  |x Linear algebra  |x Matrix theory  |x Matrices  |x Covariance matrices 
650 4 |a Mathematics  |x Pure mathematics  |x Geometry  |x Geometric shapes  |x Symmetrical bodies  |x Ellipsoids 
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