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Comparing the Robustness of Three Nonparametric DIF Procedures to Differential Rapid Guessing
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Abulela, Mohammed A. A.; Rios, Joseph A. – Applied Measurement in Education, 2022
When there are no personal consequences associated with test performance for examinees, rapid guessing (RG) is a concern and can differ between subgroups. To date, the impact of differential RG on item-level measurement invariance has received minimal attention. To that end, a simulation study was conducted to examine the robustness of the…
Descriptors: Comparative Analysis, Robustness (Statistics), Nonparametric Statistics, Item Analysis
Are the Nonparametric Person-Fit Statistics More Powerful than Their Parametric Counterparts? Revisiting the Simulations in Karabatsos (2003)
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Sinharay, Sandip – Applied Measurement in Education, 2017
Karabatsos compared the power of 36 person-fit statistics using receiver operating characteristics curves and found the "H[superscript T]" statistic to be the most powerful in identifying aberrant examinees. He found three statistics, "C", "MCI", and "U3", to be the next most powerful. These four statistics,…
Descriptors: Nonparametric Statistics, Goodness of Fit, Simulation, Comparative Analysis
A Nonparametric Approach for Assessing Goodness-of-Fit of IRT Models in a Mixed Format Test
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Liang, Tie; Wells, Craig S. – Applied Measurement in Education, 2015
Investigating the fit of a parametric model plays a vital role in validating an item response theory (IRT) model. An area that has received little attention is the assessment of multiple IRT models used in a mixed-format test. The present study extends the nonparametric approach, proposed by Douglas and Cohen (2001), to assess model fit of three…
Descriptors: Nonparametric Statistics, Goodness of Fit, Item Response Theory, Test Format
A Monte Carlo Comparison of Parametric and Nonparametric Polytomous DIF Detection Methods.
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Bolt, Daniel M. – Applied Measurement in Education, 2002
Compared two parametric procedures for detecting differential item functioning (DIF) using the graded response model (GRM), the GRM-likelihood ratio test and the GRM-differential functioning of items and tests, with a nonparametric DIF detection procedure, Poly-SIBTEST. Monte Carlo simulation results show that Poly-SIBTEST showed the least amount…
Descriptors: Comparative Analysis, Item Bias, Monte Carlo Methods, Nonparametric Statistics
A Simulation Comparison of Parametric and Nonparametric Dimensionality Detection Procedures
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Mroch, Andrew A.; Bolt, Daniel M. – Applied Measurement in Education, 2006
Recently, nonparametric methods have been proposed that provide a dimensionally based description of test structure for tests with dichotomous items. Because such methods are based on different notions of dimensionality than are assumed when using a psychometric model, it remains unclear whether these procedures might lead to a different…
Descriptors: Simulation, Comparative Analysis, Psychometrics, Methods Research
Mokken Scale Analysis: Theoretical Considerations and an Application to Transivity Tasks.
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Sijtsma, Klaas, Verweij, Anton C. – Applied Measurement in Education, 1992
Empirical data analysis using the Mokken models of monotone homogeneity and double monotonicity is discussed. Results from the Mokken approach with 3 data sets (for a total of 425 elementary school students) pertaining to transitive interference items are compared to Rasch analysis. (SLD)
Descriptors: Comparative Analysis, Elementary Education, Elementary School Students, Item Response Theory