Recently, the literature has seen increasing interest in subscores for their potential diagnostic values; for example, one study suggested the report of weighted averages of a subscore and the total score, whereas others showed, for various operational and simulated data sets, that weighted averages, as compared to subscores, lead to more accurate…

In the equating literature, a recurring concern is that equating functions that utilize a single anchor to account for examinee groups' nonequivalence are biased when the groups are extremely different and/or when the anchor only weakly measures what the tests measure. Several proposals have been made to address this equating bias by incorporating…

Standard 3.9 of the "Standards for Educational and Psychological Testing" (American Educational Research Association, American Psychological Association, & National Council for Measurement in Education, 1999) demands evidence of model fit when an item response theory (IRT) model is used to make inferences from a data set. We applied two recently…