Valid and reliable measurement of unobserved latent variables is essential to understanding and improving education. A common and persistent approach to assessing latent constructs in education is the use of rater inferential judgment. The purpose of this study is to develop high-dimensional explanatory random item effects models designed for…

Rank ordering examinees is an easier task for judges than is awarding numerical ratings. A measurement model for rankings based on Rasch's objectivity axioms provides linear, sample-independent and judge-independent measures. Estimates of examinee measures are obtained from the data set of rankings, along with standard errors and fit statistics.…