In many large testing programs, equipercentile equating has been widely used under a random groups design to adjust test difficulty between forms. However, one thorny issue occurs with equipercentile equating when a particular score has no observed frequency. The purpose of this study is to suggest and evaluate six potential methods in…

Careful considerations are necessary when there is a need to choose an anchor test form from a list of old test forms for equating under the random groups design. The choice of the anchor form potentially affects the accuracy of equated scores on new test forms. Few guidelines, however, can be found in the literature on choosing the anchor form.…

This study offers an approach to test equating under the latent D-scoring method (DSM-L) using the nonequivalent groups with anchor tests (NEAT) design. The accuracy of the test equating was examined via a simulation study under a 3 × 3 design by two conditions: group ability at three levels and test difficulty at three levels. The results for…

This article reviews several software programs designed to conduct item response theory (IRT) scale linking and equating. The programs reviewed include IRTEQ, STUIRT, and POLYEQUATE. Features and functionalities of each program are discussed and an example analysis using the common-item non-equivalent groups design in IRTEQ is provided.

The purpose of this paper is to briefly introduce two most common applications of multiple group item response theory (IRT) models, namely detecting differential item functioning (DIF) analysis and nonequivalent group score linking with a simultaneous calibration. We illustrate how to conduct those analyses using the "Stata" item…

A key part of determining cut-scores when performing Angoff standard setting is utilizing equating methods to place standard-setting ratings onto the scale used to report scores to examinees. This article describes three equating methods that can be employed to place Angoff ratings onto the scale used to report scores to examinees when applying…

Traditional psychometric methods have primarily been developed and applied in the context of high-stakes, large-scale testing. However, these methods are increasingly being used with classroom assessments, including progress monitoring measures where numerous test forms are administered over the course of an academic year. This article provides an…

Michael Kane writes in this article that he is in more or less complete agreement with Professor Koretz's characterization of the problem outlined in the paper published in this issue of "Measurement." Kane agrees that current testing practices are not adequate for test-based accountability (TBA) systems, but he writes that he is far…

Accountability has become a primary function of large-scale testing in the United States. The pressure on educators to raise scores is vastly greater than it was several decades ago. Research has shown that high-stakes testing can generate behavioral responses that inflate scores, often severely. I argue that because of these responses, using…

Since the start of the new millennium, international comparative large-scale studies have become one of the most well-known areas in the field of education. However, the International Association for the Evaluation of Educational Achievement (IEA) has already been conducting international comparative studies for about half a century. The present…

Koretz, in his article published in this issue, provides compelling arguments that the high stakes currently associated with accountability testing lead to behavioral changes in students, teachers, and other stakeholders that often have negative consequences, such as inflated scores. Koretz goes on to argue that these negative consequences require…

In his thoughtful focus article, Haertel (this issue) pushes testing experts to broaden the scope of their validation efforts and to invite scholars from other disciplines to join them. He credits existing validation frameworks for helping the measurement community to identify incomplete or nonexistent validity arguments. However, he notes his…

Mroch, Suh, Kane, & Ripkey (2009); Suh, Mroch, Kane, & Ripkey (2009); and Kane, Mroch, Suh, & Ripkey (2009) provided elucidating discussions on critical properties of linear equating methods under the nonequivalent groups with anchor test (NEAT) design. In this popular equating design, two test forms are administered to different…

This excellent set of papers is comprehensive and very well written. The Kane et al. paper lays out the theory for linear equating with the NEAT design using a clever but simple framework. The Suh et al. paper is an excellent empirical study of the various methods. The Mroch et al. paper provides an insightful evaluation of the methods as…

This article presents the authors' rejoinder to commentaries on linear equating and the NEAT design. The authors appreciate the insightful work of the commentary writers. Each has made a number of interesting points, many of which the authors had not considered at all. Before responding to some of those points, the authors reiterate what they see…