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…

This paper looks at some of the problems arising from the procedures used by the Queensland, Australia, Board of Secondary School Studies to compile percentile scores known as Tertiary Entrance Scores. Although efforts to equate across schools and across subjects are being challenged, at present there is no alternative. (LMO)

Estimation techniques for generating the covariance matrix for two new tests and an existing test without the necessity of any examinee having to take two complete tests is presented. An application of these techniques to linear, observed-score, test equating is presented. (Author/JKS)

An instructional module is presented to promote a conceptual understanding of test form equating using traditional methods. Equating is distinguished from scaling. The equating methods described are: (1) mean; (2) linear; and (3) equipercentile. The module includes a self-test. (SLD)

A common problem arises in scale transformation when independent estimates of item parameters from two separate data sets must be expressed in the same metric. These item parameter estimates will be different because the metric or scale defined by each independent calibration of the items is different. The problem is frequently confronted in…

Five statistical indices are developed and described which may be used for determining (1) when linear equating of two approximately parallel tests is adequate, and (2) whan a more complex method such as equipercentile equating must be used. The indices were based on: (1) similarity of cumulative score distributions; (2) shape of the raw-score to…

The purposes of this paper are: (1) to review some of the major studies of applications of item response theory (IRT) methodology to test equating and synthesize their results; (2) to discuss what questions are as yet unanswered and what problems exist with research methodology; and (3) to provide direction for future research. (Author/LMO)

A specific application of test equating is described, namely that of credentialing examination programs in the health professions. Considered are: (1) the role of test equating in the credentialing process; and (2) the issues that must be considered when implementing test equating in a credentialing examination program. (Author/LMO)

The author addresses issues raised by Burket (TM 510 174) about the Iowa Test of Basic Skills scaling procedures. Further reasons for his criticism of Thurstone scale scores and item response theory scale scores for elementary school achievement tests are given. (BS)

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…

Two major issues are addressed in this commentary on the National Assessment of Educational Progress (NAEP) reading assessment: the design of the reading proficiency scale and interpretation of test data; and the dimensionality of this scale and the possibility of supplying data on specific skill dimensions. An examination of NAEP data and the…

This paper focuses on the questions which arise as test practitioners monitor score scales derived from latent trait theory. Large scale assessment programs are dynamic and constantly challenge the assumptions and limits of latent trait models. Even though testing programs evolve, test scores must remain reliable indicators of progress.…

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…