Paul Newton (2010), with his characteristic concern about theory, has set out two different ways of thinking about the basis upon which equivalences of one sort or another are established between test score scales. His reason for doing this is a desire to establish "the defensibility of linkages lower on the continuum than concordance."…

This article presents the author's rejoinder to thinking about linking from issue 8(1). Particularly within the more embracing linking frameworks, e.g., Holland & Dorans (2006) and Holland (2007), there appears to be a major disjunction between (1) classification discourse: the supposed basis for classification, that is, the underlying theory…

"Linking" is a term given to a general class of procedures by which one represents scores X on one test or measure in terms of scores Y on another test or measure. A recent taxonomy by Holland and Dorans (2006; Holland, 2007) organizes the various types of links into three broad categories: prediction, scale aligning, and equating. In…

Describes Rasch measurement procedures for equating multiple test forms or calibrating an item bank. The procedures entail: (1) selecting a data collection design; (2) estimating parameters; (3) transforming the parameters to a common scale; and (4) evaluating the quality of the linkage between the forms. (SLD)

Measuring and linking competencies require special instruments, special data collection designs, and special statistical models. The measurement instruments are tests or tests forms, which can be used in the following situations: The same test can be given repeatedly; two or more parallel tests forms (i.e., forms intended to be similar in…

This study compared the lower asymptotes estimated by the maximum likelihood procedures of the LOGIST computer program with those obtained via application of the Norton methodology. The study also compared the equating results from the three-parameter logistic model with those obtained from the equipercentile, Rasch, and conditional…

An alternative procedure is examined to compare test scores which does not require the utilization of computers and therefore, can be easily employed by classroom teachers. This technique is called the Average System: a simple way to score examinees using information obtained from a representative sample (or samples). Examinees are ranked on a…

The author describes the evolution of the Scholastic Aptitude Test (SAT). He describes some of the contributions to educational research made by inquiries based on the SAT and gives particular attention to the way scaling and equating procedures for the SAT have evolved over the last half century. (Author/JAZ)

A previous study of pre-equating the Scholastic Aptitude Test (SAT) using item response theory provided unacceptable equating results for SAT-mathematical data. The purpose of this study was to investigate two possible explanations for these unacceptable pre-equating results. Specifically, the calibration process, which made use of the…

Six methods of equating Test of English as a Foreign Language (TOEFL) test scores for samples consisting of the usual groups of examinees and groups controlled for native language representation were evaluated in terms of scale stability. The equating methods included three item response theory (IRT) variants (fixed b's scaling, a one-parameter…

The current New Jersey high school graduation law requires that students pass a ninth grade test in reading, writing, and mathematics. Equating the writing test from year to year to be sure that passing scores remain identical, regardless of the test form administered, requires developing a scoring technique. A research study was developed based…

This paper examines how various equating methods are affected by: (1) sampling error; (2) sample characteristics; and (3) characteristics of anchor test items. It reviews empirical studies that investigated the invariance of equating transformations, and it discusses empirical and simulation studies that focus on how the properties of anchor tests…

This collection explores the theory and applications of educational testing. It is divided into sections on theory and general principles of educational measurement, administration of tests and scoring, and applications of testing. The following chapters present information on test theory and use: (1) "Current Perspectives and Future…