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…

Newton's article (2010) makes three main contributions to the literature. First, it is transatlantic, bringing together literatures that have been dealing with similar problems, using sometimes different methods and certainly with distinctive educational, cultural perspectives. He points out that neither of these literatures has all of the…

The article "Thinking About Linking" by Newton (2010) presents a novel philosophical perspective on the way that educational assessments should be linked. Newton starts by describing the linking framework as it was characterized in various publications and identifies a cross-cultural dimension in the definitions and uses of test…

Five indices are discussed that should logically discriminate between situations in which: (1) the linear equating method (LEM) adequately adjusts for difference between score distributions of two approximately parallel test forms; or (2) a method more complex than the linear equating method is needed. (RL)

Applications of item response theory to practical testing problems including equating, differential item functioning, and computerized adaptive testing, require that item parameter estimates be placed onto a common metric. In this study, two methods for developing a common metric for the graded response model under item response theory were…

If annual performance assessments are to yield results that can be compared from year to year, many technical problems must be addressed. It is essential that tests to be equated measure the same construct. Methods of equating performance assessment scores, ways of equating system assessments, and standard setting are discussed. (SLD)

In a study to determine whether a shift from Formula scoring to Rights scoring can be made without causing a discontinuity in the test scale, the analysis of special administrations of the Scholastic Aptitude Test and Chemistry Achievement Test and the variable section of an operational form of the Graduate Management Admission Test (GMAT) is…

Two methods of computing test equating coefficients under item response theory by the following authors are compared: (1) B. H. Loyd and H. D. Hoover (1980); and (2) M. L. Stocking and F. M. Lord (1983). Conditions under which the method of Stocking and Lord is preferable are described. (SLD)

Applications of item response theory to practical testing problems including equating, differential item functioning, and computerized adaptive testing, require that item parameter estimates be placed onto a common metric. In this study, three methods for developing a common metric under item response theory are compared: (1) linking separate…

The Title I Evaluation and Reporting System (TIERS) was mandated to meet the requirements of the 1974 amendments to the Elementary and Secondary Education Act. It was hoped that TIERS would lead to a clear report of the effectiveness of Title I programs, based upon a synthesis of nationwide data. It has been extremely difficult to compare…

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…

To explain the discrepancy between median scores on the 1976 administration of the California Achievement Tests (CAT) and the Sequential Tests of Educational Progress (STEP) in the Austin Independent School District (AISD), ten technical variables typical of achievement tests were considered as explanations. (1) The STEP may measure different…

The increasing use of educational performance or outcome measurements for a range of policy purposes points to new procedures for adjusting data for population composition. The purposes include: program formulation, budget resource allocation, grant-in-aid designs, performance incentive payments, consumer information for school selection, and…