The purpose of this paper is to briefly introduce two most common applications of multiple group item response theory (IRT) models, namely detecting differential item functioning (DIF) analysis and nonequivalent group score linking with a simultaneous calibration. We illustrate how to conduct those analyses using the "Stata" item…

The two purposes of this paper are to provide a SAS IML macro that performs loglinear smoothing and to apply this macro to loglinear smoothing problems that have not been extensively discussed in the test-equating literature. The SAS macro is demonstrated on univariate, bivariate, and trivariate smoothing problems. The univariate and bivariate…

Three item response models were evaluated for estimating item parameters and equating test scores. The models, which approximated the traditional three-parameter model, included: (1) the Rasch one-parameter model, operationalized in the BICAL computer program; (2) an approximate three-parameter logistic model based on coarse group data divided…