The current literature on test equating generally defines it as the process necessary to obtain score comparability between different test forms. The definition is in contrast with Lord's foundational paper which viewed equating as the process required to obtain comparability of measurement scale between forms. The distinction between the notions…

In recent ACT mode comparability studies, students testing on laptop or desktop computers earned slightly higher scores on average than students who tested on paper, especially on the ACT® reading and English tests (Li et al., 2017). Equating procedures adjust for such "mode effects" to make ACT scores comparable regardless of testing…

The purpose of this study was to investigate the potential impact of misrouting under a 2-stage multistage test (MST) design, which includes 1 routing and 3 second-stage modules. Simulations were used to create a situation in which a large group of examinees took each of the 3 possible MST paths (high, middle, and low). We compared differences in…

The equity properties can be used to assess the quality of an equating. The degree to which expected scores conditional on ability are similar between test forms is referred to as first-order equity. Second-order equity is the degree to which conditional standard errors of measurement are similar between test forms after equating. The purpose of…

Small sample equating remains a largely unexplored area of research. This study attempts to fill in some of the research gaps via a large-scale, IRT-based simulation study that evaluates the performance of seven small-sample equating methods under various test characteristic and sampling conditions. The equating methods considered are typically…

The Wisconsin Card Sorting Test (WCST) assesses executive and frontal lobe function and can be administered manually or by computer. Despite the widespread application of the 2 versions, the psychometric equivalence of their scores has rarely been evaluated and only a limited set of criteria has been considered. The present experimental study (N =…

This article discusses a particular type of concordance table and the potential for test score misuse that may result from employing such a table. The concordance that is discussed is typically created between scores on different, nonequatable versions of a test that share the same or close to the same test title. These concordance tables often…

A procedure for checking the score equivalence of nearly identical editions of a test is described and illustrated with Scholastic Aptitude Test data. The procedure uses the standard error of equating and uses graphical representation of score conversion deviations from the identity function in standard error units. (SLD)

Derives a set of linear conditions of item-response functions that guarantees identical observed-score distributions on two test forms. The conditions can be added as constraints to a linear programming model for test assembly. An example illustrates the use of the model for an item pool from the Law School Admissions Test (LSAT). (SLD)

This report is a review and analysis of the psychometric literature on the topic of out-of-level testing. Out-of-level testing refers to the practice of using a level of the test other than the test taken by most of the students in a student's current grade level. Much of the research on out-of-level testing was conducted in the 1970s and 1980s,…

This report contains results of a field test conducted to determine the relationship between a Graduate Records Examination (GRE) linear computer-based test (CBT) and a paper-and-pencil (P&P) test with the same items. Recent GRE examinees participated in the field test by taking either a CBT or the P&P test. Data from the field test…

The SAT® I: Reasoning Test is administered seven times a year. Primarily for security purposes, several different test forms are given at each administration. How is it possible to compare scores obtained from different test forms and from different test administrations? The purpose of this paper is to provide an overview of the statistical…

Student achievement test scores were compared and equated, using three different testing methods: paper-administered, computer-administered, and computerized adaptive testing. The tests were developed from third and sixth grade mathematics item banks of the California Assessment Program. The paper and the computer-administered tests were identical…

Item parameter estimates derived through item response theory methods have been considered relatively robust to changes in item position and context, but the anomaly in reading scores from the 1986 National Assessment of Educational Progress (NAEP) illustrates problems with common population equating procedures when there are test form changes.…

The feasibility of pre-equating, or establishing conversions from raw to scaled scores through the use of pretest data before operationally administering a test, was investigated for the Scholastic Aptitude Test (SAT). Item-response theory based equating methods were used to estimate item parameters on SAT pretest data, instead of using final form…