Purpose: Norm-referenced, standardized measures are tools designed to characterize a child's abilities relative to their same-age peers, but they also have been used to measure changes in skills during intervention. This study compared the psychometric properties of four types of available scores from one commonly used standardized measure, the…

The purpose of this study was to investigate the latent structure type (categorical vs. dimensional) of bullying perpetration in a large sample of middle school students. A nine-item bullying scale was administered to 1,222 (625 boys, 597 girls) early adolescents enrolled in middle schools in a Midwestern state. Based on the results of a principal…

The interpretation of psychometric test results is usually based on norm scores. We compared semiparametric continuous norming (SPCN) with conventional norming methods by simulating results for test scales with different item numbers and difficulties via an item response theory approach. Subsequently, we modeled the norm scores based on random…

The value-added method of Haberman is arguably one of the most popular methods to evaluate the quality of subscores. The method is based on the classical test theory and deems a subscore to be of added value if the subscore predicts the corresponding true subscore better than does the total score. Sinharay provided an interpretation of the added…

In this study, we propose aggregating test scores with unidimensional within-test structure and multidimensional across-test structure based on a 2-level, 1-factor model. In particular, we compare 6 score aggregation methods: average of standardized test raw scores (M1), regression factor score estimate of the 1-factor model based on the…

Background: It is now widely known that children with severe intellectual disability show a 'floor effect' on the Wechsler scales. This effect emerges because the practice of transforming raw scores into scaled scores eliminates any variability present in participants with low intellectual ability and because intelligence quotient (IQ) scores are…

Many statistical analyses benefit from the assumption that unconditional or conditional distributions are continuous and normal. More than 50 years ago in this journal, Lord and Cook chronicled departures from normality in educational tests, and Micerri similarly showed that the normality assumption is met rarely in educational and psychological…

We describe the development and initial validity assessment of the 20-item BioCalculus Assessment (BCA), with the objective of comparing undergraduate life science students' understanding of calculus concepts in different courses with alternative emphases (with and without focus on biological applications). The development process of the BCA…

A significant gap exists between the graduation rate of students with disabilities and their nondisabled. The purpose of this quantitative correlation study was to determine the relationship self-determination had on college and career readiness using ACT scores of students with high incident disabilities. This study was guided by the following…

Critics of charter schools in New York City, America's largest school district, often allege that charters score better on standardized tests, on average, than traditional public schools because charters "cream-skim" (i.e., attract) the brightest, most motivated, students. Yet this accusation neglects the fact that not all traditional…

Economists often use test scores to measure a student's performance or an adult's human capital. These scores reflect non-trivial decisions about how to measure and scale student achievement, with important implications for secondary analyses. For example, the scores computed in several major testing regimes, including the National Assessment of…

GMAT (Graduate Management Admission Test) scaled scores convey the same level of ability over time, and GMAT percentiles convey the competitiveness of scores relative to today's GMAT test takers. In an earlier column, the author discussed the role of the GMAT scaled scores and percentiles. Here, he gets more technical and discusses how GMAT scaled…

This booklet grew out of a half-day class on equating that author Samuel Livingston teaches for new statistical staff at Educational Testing Service (ETS). The class is a nonmathematical introduction to the topic, emphasizing conceptual understanding and practical applications. The class consists of illustrated lectures, interspersed with…

Although researchers in undergraduate science, technology, engineering, and mathematics education are currently using several methods to analyze learning gains from pre- and posttest data, the most commonly used approaches have significant shortcomings. Chief among these is the inability to distinguish whether differences in learning gains are due…

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…