The aim of this study is to compare the results of correlation coefficient estimation of reliability with those obtained through the Bland-Altman plot technique. The scale was first divided into two halves using three different approaches. A linear and high-level relationship was found between the scale scores obtained from the halved forms.…

A major challenge in the widespread application of Mokken scale analysis (MSA) to educational performance assessments is the requirement of complete data, where every rater rates every student. In this study, simulated and real data are used to demonstrate a method by which researchers and practitioners can apply MSA to incomplete rating designs.…

The measurement industry is in crisis. The public outcry against "over testing" and the opt-out movement are symptoms of a larger sociopolitical battle being fought over Common Core, teacher evaluation, federal intrusion, and a host of other issues, but much of the vitriol is directed at the tests and the testing industry. If we, as…

Briggs and Peck [in "Using Learning Progressions to Design Vertical Scales That Support Coherent Inferences about Student Growth"] call for greater care in the conceptualization of the target attributes of students, or "what it is that is growing from grade to grade." In particular, they argue that learning progressions can…

Briggs and Peck make a compelling case for creating new, more intuitive measures of learning, based on creating vertical scales using learning trajectories (LT) in place of "domain sampling." We believe that the importance of creating measurement scales that coordinate recognizable landmarks in learning trajectories with interval scales…

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…

Briggs and Peck (2015) have written a thought-provoking article on the use of learning progressions in the design of vertical scales that support inferences about student growth. Organized learning models, including learning trajectories, learning progressions, and learning maps have been the subject of research for many years, but more recently…

The concept of growth is at the foundation of the policy and practice around systems of educational accountability. It is also at the foundation of what teachers concern themselves with on a daily basis as they help children learn. Yet there is a disconnect between the criterion-referenced intuitions that parents and teachers have for what it…

Linking IEA's international reading assessments across 40 years is an interesting endeavor from several perspectives. Being able to examine trends in reading achievement at the 4th grade over such a long period and relate these to policy changes during that time span is an attractive idea. However, this work brings to the fore many thorny issues…

Kane, Mroch, Suh, and Ripkey (2009) describe what they call five linear equating methods for the nonequivalent groups with anchor test (NEAT) design. The authors embed these methods within a two-dimensional framework. The first dimension contrasts what the authors call a parameter substitution (PS) approach what they call a chained linear…

This paper analyzes five linear equating models for the "nonequivalent groups with anchor test" (NEAT) design with internal anchors (i.e., the anchor test is part of the full test). The analysis employs a two-dimensional framework. The first dimension contrasts two general approaches to developing the equating relationship. Under a "parameter…

The purpose of this study is to describe how Guttman, Rasch, and Mokken approached issues related to invariant measurement. These measurement theorists were chosen to illustrate the evolution of our conceptualizations of invariant measurement during the 20th century within the research tradition of item response theory. Item response theory can be…

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…