This booklet grew out of a half-day class on equating that author Samuel Livingston teaches for new statistical staff at Educational Testing Service (ETS). The class is a nonmathematical introduction to the topic, emphasizing conceptual understanding and practical applications. The class consists of illustrated lectures, interspersed with…

Because the demand for subscores is ever increasing, this study examined two different approaches for equating subscores: (a) equating a subscore on the new form to the same subscore in the old form using internal common items as the anchor to conduct the equating, and (b) equating a subscore on the new form to the same subscore in the old form…

This study examines the use of subpopulation invariance indices to evaluate the appropriateness of using a multiple-choice (MC) item anchor in mixed-format tests, which include both MC and constructed-response (CR) items. Linking functions were derived in the nonequivalent groups with anchor test (NEAT) design using an MC-only anchor set for 4…

This report proposes an empirical Bayes approach to the problem of equating scores on test forms taken by very small numbers of test takers. The equated score is estimated separately at each score point, making it unnecessary to model either the score distribution or the equating transformation. Prior information comes from equatings of other…

This study explores the use of a different type of anchor, a "midi anchor", that has a smaller spread of item difficulties than the tests to be equated, and then contrasts its use with the use of a "mini anchor". The impact of different anchors on observed score equating were evaluated and compared with respect to systematic…