Detection of Differential Item Functioning in the Graded Response Model

Allan S. Cohen · Seock‐Ho Kim · Frank B. Baker

113 citations0/0 files storedApplied Psychological Measurement

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Psychometric Methodologies and Testing Educational Assessment and Pedagogy Statistical Methods and Bayesian Inference

Abstract

Methods for detecting differential item func tioning (DIF) have been proposed primarily for the item response theory dichotomous response model. Three measures of DIF for the dichotomous response model are extended to include Samejima's graded response model: two measures based on area differences between item true score functions, and a χ 2 statistic for comparing differences in item parameters. An illustrative example is presented.

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References

2012Applications of Item Response Theory To Practical Testing Problems 1968ESTIMATION OF LATENT ABILITY USING A RESPONSE PATTERN OF GRADED SCORES1 1983Developing a Common Metric in Item Response Theory 1988The Area between Two Item Characteristic Curves 2013Use of Item Response Theory in the Study of Group Differences in Trace Lines 1980VERTICAL EQUATING USING THE RASCH MODEL 1990Determining the Significance of Estimated Signed and Unsigned Areas Between Two Item Response Functions 1988An Iterative Procedure for Linking Metrics and Assessing Item Bias in Item Response Theory

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1998Detection of Differential Item Functioning Under the Graded Response Model With the Likelihood Ratio Test 1995Detection of Differential Item Functioning in Multiple Groups 2007DIF Detection and Effect Size Measures for Polytomously Scored Items 2002Recovery of Item Parameters in the Nominal Response Model: A Comparison of Marginal Maximum Likelihood Estimation and Markov Chain Monte Carlo Estimation 1998A Comparison of Procedures to Detect Item Parameter Drift

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