To investigate the effect of innovations in the teaching-learning environment, researchers often compare study results from different cohorts across years. However, variance in scores can be attributed to both random fluctuation and systematic changes due to the innovation, complicating cohort comparisons. In the present study, we illustrate how…

The choice of anchor tests is crucial in applications of the nonequivalent groups with anchor test design of equating. Sinharay and Holland (2006, 2007) suggested "miditests," which are anchor tests that are content-representative and have the same mean item difficulty as the total test but have a smaller spread of item difficulties.…

The percentage of students retaking college admissions tests is rising. Researchers and college admissions offices currently use a variety of methods for summarizing these multiple scores. Testing organizations such as ACT and the College Board, interested in validity evidence like correlations with first-year grade point average (FYGPA), often…

There is much discussion about and many policies to address achievement gaps in education among groups of students. The focus here is on a different gap and it is argued that it also should be of concern. Speed gaps are differences in how quickly different groups of students answer the questions on academic assessments. To investigate some speed…

Student growth percentiles (SGPs, Betebenner, 2009) are used to locate a student's current score in a conditional distribution based on the student's past scores. Currently, following Betebenner (2009), quantile regression (QR) is most often used operationally to estimate the SGPs. Alternatively, multidimensional item response theory (MIRT) may…

This module describes and extends X-to-Y regression measures that have been proposed for use in the assessment of X-to-Y scaling and equating results. Measures are developed that are similar to those based on prediction error in regression analyses but that are directly suited to interests in scaling and equating evaluations. The regression and…