Examining Measurement Invariance and Differential Item Functioning With Discrete Latent Construct Indicators: A Note on a Multiple Testing Procedure. (April 2018)

• Record Type: Journal Article
• Authors: Raykov, Tenko; Dimitrov, Dimiter M.; Marcoulides, George A.; Li, Tatyana; Menold, Natalja
• Is Part Of: Educational and psychological measurement. Volume 78:Number 2(2018)
• Page Start: 343
• Page End: 352
• Publication Date: 2018-04
• Subjects: binary item -- differential item functioning -- false discovery rate -- latent variable modeling -- measurement invariance -- model identification -- multiple testing; Educational tests and measurements -- Periodicals; Psychological tests -- Periodicals; 151.205
• DOI: 10.1177/0013164416670984
• Languages: English
• ISSNs: 0013-1644

Abstract

A latent variable modeling method for studying measurement invariance when evaluating latent constructs with multiple binary or binary scored items with no guessing is outlined. The approach extends the continuous indicator procedure described by Raykov and colleagues, utilizes similarly the false discovery rate approach to multiple testing, and permits one to locate violations of measurement invariance in loading or threshold parameters. The discussed method does not require selection of a reference observed variable and is directly applicable for studying differential item functioning with one- or two-parameter item response models. The extended procedure is illustrated on an empirical data set.