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Investigating Measurement Invariance by Means of Parameter Instability Tests for 2PL and 3PL Models

Type of publication Peer-reviewed
Publikationsform Original article (peer-reviewed)
Author Debelak Rudolf, Strobl Carolin,
Project Detecting Heterogeneity in Complex IRT Models for Measuring Latent Traits
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Original article (peer-reviewed)

Journal Educational and Psychological Measurement
Volume (Issue) 79(2)
Page(s) 385 - 398
Title of proceedings Educational and Psychological Measurement
DOI 10.1177/0013164418777784


M-fluctuation tests are a recently proposed method for detecting differential item functioning in Rasch models. This article discusses a generalization of this method to two additional item response theory models: the two-parametric logistic model and the three-parametric logistic model with a common guessing parameter. The Type I error rate and the power of this method were evaluated by a variety of simulation studies. The results suggest that the new method allows the detection of various forms of differential item functioning in these models, which also includes differential discrimination and differential guessing effects. It is also robust against moderate violations of several assumptions made in the item parameter estimation.