Detection of Differential Item Functioning Under the Graded Response Model With the Likelihood Ratio Test

Seock‐Ho Kim · Allan S. Cohen

107 citations0/0 files storedApplied Psychological Measurement

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

Abstract

Type I error rates of the likelihood ratio test for the detection of differential item functioning (DIF) were investigated using monte carlo simulations. The graded response model with five ordered categories was used to generate datasets of a 30-item test for samples of 300 and 1,000 simulated examinees. All DIF comparisons were simulated by randomly pairing two groups of examinees. Three different sample size combinations of reference and focal groups were simulated under two ability matching conditions. For each of the six combinations of sample sizes by ability matching conditions, 100 replications of DIF detection comparisons were simulated. Item parameter estimates and likelihood values were obtained by marginal maximum likelihood estimation using the computer program MULTILOG. Irpe I eryor rates of the likelihood ratio test statistics for all six combinations of sample sizes and ability matching conditions were within theoretically expected values at each of the nominal alpha levels considered.

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2012Applications of Item Response Theory To Practical Testing Problems 1968ESTIMATION OF LATENT ABILITY USING A RESPONSE PATTERN OF GRADED SCORES1 2000Annual Meeting of the American Educational Research Association 1994Differential Item Functioning.1983Developing a Common Metric in Item Response Theory 1988The Area between Two Item Characteristic Curves 1986Beyond group-mean differences: The concept of item bias.1990Parameter Recovery in the Graded Response Model Using MULTILOG

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2004Effects of Anchor Item Methods on the Detection of Differential Item Functioning Within the Family of Rasch Models 2020Improving the assessment of measurement invariance: Using regularization to select anchor items and identify differential item functioning.2007DIF Detection and Effect Size Measures for Polytomously Scored Items 1999An Investigation of the Power of the Likelihood Ratio Goodness‐of‐Fit Statistic in Detecting Differential Item Functioning 2007Detection of Crossing Differential Item Functioning

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