Two important types of observed score equating (OSE) methods for the non-equivalent groups with Anchor Test (NEAT) design are chain equating (CE) and post-stratification equating (PSE). CE and PSE reflect two distinctly different ways of using the information provided by the anchor test for computing OSE functions. Both types of methods include…

This simulation study evaluated the potential of alternative loglinear smoothing strategies for improving equipercentile equating function accuracy. These alternative strategies use cues from the sample data to make automatable and efficient improvements to model fit, either through the use of indicator functions for fitting large residuals or by…

Grouped jackknifing may be used to evaluate the stability of equating procedures with respect to sampling error and with respect to changes in anchor selection. Properties of grouped jackknifing are reviewed for simple-random and stratified sampling, and its use is described for comparisons of anchor sets. Application is made to examples of item…

Equating of tests composed of both discrete and passage-based items using the nonequivalent groups with anchor test (NEAT) design is popular in practice. This study investigated the impact of discrete anchor items and passage-based anchor items on observed score equating via simulation. Results suggested that an anchor with a larger proportion of…

Equating is an essential tool in educational assessment due the critical role it plays in several key areas: establishing validity across forms and years; fairness; test security; and, increasingly, continuity in programs that release items or require ongoing development. Although the practice of equating is rooted in long standing practices that…

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…

In this study, we compared 12 statistical strategies proposed for selecting loglinear models for smoothing univariate test score distributions and for enhancing the stability of equipercentile equating functions. The major focus was on evaluating the effects of the selection strategies on equating function accuracy. Selection strategies' influence…

This article provides a brief description of a Windows application called IRTEQ. IRTEQ employs an intuitive, user-friendly graphic user interface that can rescale one test form to another by using various item response theory (IRT) scaling methods. It supports various IRT models for test forms. It can also equate test scores on the scale of one…

In this study, we investigated whether preequating results agree with equating results that are based on observed operational data (postequating) for a college placement program. Specifically, we examined the degree to which item response theory (IRT) true score preequating results agreed with those from IRT true score postequating and from…

Student engagement in classroom learning was conceptualised as a balance between two attributes. In order for students to be engaged, the tasks expected of them should be commensurate with their ability to complete these tasks. That is, a balance between their learning capabilities and the expectations of their learning. Of interest was the…

A simultaneous equating of four new test forms to each other and to one previous form was accomplished through a complex design incorporating seven separate equating links. Each new form was linked to the reference form by four different paths, and each path produced a different score conversion. The procedure used to resolve these inconsistencies…

This study examines the stability of the SAT® scale from 1994 to 2001. A 1994 form and a 2001 form were readministered in a 2005 SAT administration, and the 1994 form was equated to the 2001 form. The new conversion was compared to the old conversion. Both the verbal and math sections exhibit a similar degree of scale drift, but in opposite…

This technical report provides detailed information regarding the technical, statistical, and measurement attributes of the New York State Testing Program (NYSTP) for the Grades 3-8 Common Core English Language Arts (ELA) and Mathematics 2014 Operational Tests. This report includes information about test content and test development, item (i.e.,…

Test equating under the NEAT design is, at best, a necessary evil. At bottom, the procedure aims to reach a conclusion on what a tested person would have done, if he or she were administered a set of items that were in fact never administered. It is not possible to infer such a conclusion from the data, because one simply has not made the required…

The conventional approaches to mediation analysis such as path analysis and structural equation modeling typically involve specifying two structural models, one for the mediator and the other for the outcome. We employ an alternative approach that avoids some strong identification assumptions invoked by the conventional approaches. By applying a…