Purification of the test has been a well-accepted procedure in enhancing the performance of tests for differential item functioning (DIF). As defined by Lord, purification requires reestimation of ability parameters after removing DIF items before conducting the final DIF analysis. IRTPRO 3 is a recently updated program for analyses in item…

This study established an effect size measure for differential functioning for items and tests' noncompensatory differential item functioning (NCDIF). The Mantel-Haenszel parameter served as the benchmark for developing NCDIF's effect size measure for reporting moderate and large differential item functioning in test items. The effect size of…

Raju, van der Linden, and Fleer (1995) introduced a framework for differential functioning of items and tests (DFIT) for unidimensional dichotomous models. Since then, DFIT has been shown to be a quite versatile framework as it can handle polytomous as well as multidimensional models both at the item and test levels. However, DFIT is still limited…

In a typical differential item functioning (DIF) analysis, a significance test is conducted for each item. As a test consists of multiple items, such multiple testing may increase the possibility of making a Type I error at least once. The goal of this study was to investigate how to control a Type I error rate and power using adjustment…

Oshima, Raju, and Flowers demonstrated the use of an item response theory-based technique for analyzing differential item function (DIF) and differential test function for dichotomously scored data that are intended to be multidimensional. Their study assumed that the number of intended-to-be measured dimensions was correctly identified. In…

Nambury S. Raju (1937-2005) developed two model-based indices for differential item functioning (DIF) during his prolific career in psychometrics. Both methods, Raju's area measures (Raju, 1988) and Raju's DFIT (Raju, van der Linden, & Fleer, 1995), are based on quantifying the gap between item characteristic functions (ICFs). This approach…

The recent study of Oshima, Raju, and Nanda proposes the item parameter replication (IPR) method for assessing statistical significance of the noncompensatory differential item functioning (NCDIF) index within the differential functioning of items and tests (DFIT) framework. Previous Monte Carlo simulations have found that the appropriate cutoff…

Examined the polytomous differential functioning of items and tests (DFIT) framework proposed by N. Raju and others through simulation. Findings show that the DFIT framework is effective in identifying differential item functioning and differential test functioning. (SLD)

Defines and demonstrates a framework for studying differential item functioning and differential test functioning for tests that are intended to be multidimensional. The procedure, which is illustrated with simulated data, is an extension of the unidimensional differential functioning of items and tests approach (N. Raju, W. van der Linden, and P.…

A two-stage procedure for estimating item bias was examined with six indices of item bias and the Mantel-Haenszel statistic. Results suggest that the two-stage procedure is not very useful when the number of biased items is small and bias magnitude is weak. (SLD)

How item bias indexes based on item response theory (IRT) identify bias that results from multidimensionality is demonstrated. Simulation results suggest that IRT-based bias indexes detect multidimensional items with bias but do not detect multidimensional items without bias. They also do not confound between-group differences on the primary test.…

Oshima, Raju, Flowers, and Slinde (1998) described procedures for identifying sources of differential functioning for dichotomous data using differential bundle functioning (DBF) derived from the differential functioning of items and test (DFIT) framework (Raju, van der Linden, & Fleer, 1995). The purpose of this study was to extend the…

A new item parameter replication method is proposed for assessing the statistical significance of the noncompensatory differential item functioning (NCDIF) index associated with the differential functioning of items and tests framework. In this new method, a cutoff score for each item is determined by obtaining a (1-alpha ) percentile rank score…

This study was patterned after a previous study by Skaggs and Lissitz (1992) in which inconsistency of differential item functioning (DIF) was reported across test administrations. They suggested multidimensionality of test data as one possible reason for inconsistency. Therefore, in this study, DIF indices which were developed recently with a…

A procedure to detect differential item functioning (DIF) is introduced that is suitable for tests with a cutoff score. DIF is assessed on a limited closed interval of thetas in which a cutoff score falls. How this approach affects the identification of DIF items is demonstrated with real data sets. (SLD)