This study aimed to evaluate the item model fit by equating the forms of the PISA 2018 mathematics subtest with concurrent common items equating in samples from Türkiye, the UK, and Italy. The answers given in mathematics subtest Forms 2, 8, and 12 were used in this context. Analyzes were performed using the Dichotomous Rasch Model in the WINSTEPS…

This technical report documents the processes and procedures employed by NWEA® to build and support the English MAP® Reading Fluency™ assessments administered during the 2020-2021 school year. It is written for measurement professionals and administrators to help evaluate the quality of MAP Reading Fluency. The seven sections of this report: (1)…

The purpose of this study was to examine the impact of dimensionality, common-item set format, and different scale linking methods on preserving equity property with mixed-format test equating. Item response theory (IRT) true-score equating (TSE) and IRT observed-score equating (OSE) methods were used under common-item nonequivalent groups design.…

Mixed-format tests containing both multiple-choice (MC) items and constructed-response (CR) items are now widely used in many testing programs. Mixed-format tests often are considered to be superior to tests containing only MC items although the use of multiple item formats leads to measurement challenges in the context of equating conducted under…

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…

Recently, L. Zeng and M. J. Kolen (1995) have introduced item response theory (IRT) observed score (OS) equating of number-correct (NC) scores for equating different forms of a test. In this paper, IRT-OS-NC equating is adapted to equating the cut-off scores of examinations. Next, the differences between results obtained using a Rasch model for…

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 builds on and extends existent research on population invariance to new tests and issues. The authors lay the foundation for a deeper understanding of the use of population invariance measures in a wide variety of practical contexts. The invariance of linear, equipercentile and IRT equating methods are examined using data from five…

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.…

From 1970 to 1985, the Scholastic Aptitude Test (SAT) underwent major modifications caused by: (1) the addition of the Test of Standard Written English (TSWE) to the College Board's Admissions Testing Program (ATP); (2) the passage of test disclosure legislation; (3) the institution of test sensitivity reviews; and (4) the use of item response…