In the attempt to identify or prevent unfair tests, both quantitative analyses and logical evaluation are often used. For the most part, fairness evaluation is a pragmatic attempt at determining whether procedural or substantive due process has been accorded to either a group of test takers or an individual. In both the individual and comparative…

As item response theory (IRT) becomes popular in educational and psychological testing, there is a need of reporting IRT-based effect size measures. In this study, we show how the standardized mean difference can be generalized into such a measure. A disattenuation procedure based on the IRT test reliability is proposed to correct the attenuation…