The nonequivalent-groups anchor-test (NEAT) data-collection design is commonly used in large-scale assessments. Under this design, different test groups take different test forms. Each test form has its own unique items and all test forms share a set of common items. If item response theory (IRT) models are applied to analyze the test data, the…

The population sensitivity of vertical scaling results was evaluated for a state reading assessment spanning grades 3-10 and a state mathematics test spanning grades 3-8. Subpopulations considered included males and females. The 3-parameter logistic model was used to calibrate math and reading items and a common item design was used to construct…

Operational testing programs employing item response theory (IRT) applications benefit from of the property of item parameter invariance whereby item parameter estimates obtained from one sample can be applied to other samples (when the underlying assumptions are satisfied). In theory, this feature allows for applications such as computer-adaptive…

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…

A quadratic curve test equating method for equating different test forms under a random-groups data collection design is proposed that equates the first three central moments of the test forms. When applied to real test data, the method performs as well as other equating methods. Procedures from implementing the test are described. (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,…

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…

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…