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Penfield, Randall D. – Journal of Educational Measurement, 2007
Many statistics used in the assessment of differential item functioning (DIF) in polytomous items yield a single item-level index of measurement invariance that collapses information across all response options of the polytomous item. Utilizing a single item-level index of DIF can, however, be misleading if the magnitude or direction of the DIF…
Descriptors: Simulation, Test Bias, Statistics, Test Items
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Penfield, Randall D. – Educational and Psychological Measurement, 2007
The standard error of the maximum likelihood ability estimator is commonly estimated by evaluating the test information function at an examinee's current maximum likelihood estimate (a point estimate) of ability. Because the test information function evaluated at the point estimate may differ from the test information function evaluated at an…
Descriptors: Simulation, Adaptive Testing, Computation, Maximum Likelihood Statistics