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Error of Measurement3
Nonparametric Statistics3
Scores3
Item Response Theory2
Simulation2
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Comparative Analysis1
Computation1
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Applied Psychological…3
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Ankenmann, Robert D.1
Cui, Zhongmin1
Emons, Wilco H. M.1
Kolen, Michael J.1
Monahan, Patrick O.1
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Alternative Matching Scores to Control Type I Error of the Mantel-Haenszel Procedure for DIF in Dichotomously Scored Items Conforming to 3PL IRT and Nonparametric 4PBCB Models
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Monahan, Patrick O.; Ankenmann, Robert D. – Applied Psychological Measurement, 2010
When the matching score is either less than perfectly reliable or not a sufficient statistic for determining latent proficiency in data conforming to item response theory (IRT) models, Type I error (TIE) inflation may occur for the Mantel-Haenszel (MH) procedure or any differential item functioning (DIF) procedure that matches on summed-item…
Descriptors: Error of Measurement, Item Response Theory, Test Bias, Scores
Comparison of Parametric and Nonparametric Bootstrap Methods for Estimating Random Error in Equipercentile Equating
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Cui, Zhongmin; Kolen, Michael J. – Applied Psychological Measurement, 2008
This article considers two methods of estimating standard errors of equipercentile equating: the parametric bootstrap method and the nonparametric bootstrap method. Using a simulation study, these two methods are compared under three sample sizes (300, 1,000, and 3,000), for two test content areas (the Iowa Tests of Basic Skills Maps and Diagrams…
Descriptors: Test Length, Test Content, Simulation, Computation
Nonparametric Person-Fit Analysis of Polytomous Item Scores
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Emons, Wilco H. M. – Applied Psychological Measurement, 2008
Person-fit methods are used to uncover atypical test performance as reflected in the pattern of scores on individual items in a test. Unlike parametric person-fit statistics, nonparametric person-fit statistics do not require fitting a parametric test theory model. This study investigates the effectiveness of generalizations of nonparametric…
Descriptors: Simulation, Nonparametric Statistics, Item Response Theory, Goodness of Fit