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…

Heated discussions about the comparability of standards between examination subjects have kept Qualification Authorities, Testing Services, independent researchers and academics around the world busy for many years. As a result, many countries have adopted statistical techniques which aspire to make aggregated scores based on different subjects…

Equating under the external anchor design is frequently conducted using scaled scores on the anchor test. However, scaled scores often lead to the unique problem of creating zero frequencies in the score distribution because there may not always be a one-to-one correspondence between raw and scaled scores. For example, raw scores of 17 and 18 may…

A single group (SG) equating design with nearly equivalent test forms (SiGNET) design was developed by Grant (2006) to equate small volume tests. The basis of this design is that examinees take two largely overlapping test forms within a single administration. The scored items for the operational form are divided into mini-tests called testlets.…

This exploratory study was built on research spanning three decades. Petersen, Marco, and Stewart (1982) conducted a major empirical investigation of the efficacy of different equating methods. The studies reported in Dorans (1990) examined how different equating methods performed across samples selected in different ways. Recent population…

This study explored the relationship between reading and achievement on a science standardized test. A nonfiction reading subtest and the science section of the Connecticut Academic Performance Test were compared for Grade 10 students at 3 Connecticut high schools. Results showed a moderate-to-strong positive relationship between the variables.…

This study investigated the usefulness of the bifactor model in the investigation of score equivalence from computerized and paper-and-pencil formats of the same reading tests. Concerns about the equivalence of the paper-and-pencil and computerized formats were warranted because of the use of reading passages, computer unfamiliarity of primary…

As with any test administered across linguistically and culturally diverse groups, evidence suggesting the equivalence of score meaning across countries is needed for valid comparisons. The current study examines the cross-cultural equivalence of score interpretations from the Trends in International Mathematics and Science Study (TIMSS)-1999 from…

Because parameter estimates from different calibration runs under the IRT model are linearly related, a linear equation can convert IRT parameter estimates onto another scale metric without changing the probability of a correct response (Kolen & Brennan, 1995, 2004). This study was designed to explore a new approach to finding a linear…

The simplified version of the Dorans and Holland (2000) measure of population invariance, the root mean square difference (RMSD), is used to explore the degree of dependence of linking functions on the Law School Admission Test (LSAT) subpopulations defined by examinees' gender, ethnic background, geographic region, law school application status,…

The synthetic function, which is a weighted average of the identity (the trivial linking function for forms that are known to be completely parallel) and a traditional equating method, has been proposed as an alternative for performing linking with very small samples (Kim, von Davier, & Haberman, 2006). The purpose of the present study was to…

In a series of publications, the author and his colleagues have obtained scores from students in higher education on different questionnaires, and they have described the relationships among these scores using the statistic known as Wilks' [lambda]. Burt (2005) has criticized that the use of this measure is inappropriate, arguing (1) that the…

Common items with inconsistent b-parameter estimates may have a serious impact on item response theory (IRT)--based equating results. To find a better way to deal with the outlier common items with inconsistent b-parameters, the current study investigated the comparability of 10 variations of four IRT-based equating methods (i.e., concurrent…

In large-scale assessments, such as state-wide testing programs, national sample-based assessments, and international comparative studies, there are many steps involved in the measurement and reporting of student achievement. There are always sources of inaccuracies in each of the steps. It is of interest to identify the source and magnitude of…