As the global development community shifts its focus from improving access to education to improving learning and instruction, the need for instruments that accurately measure student achievement in mathematics and meet technical standards is increasing. This paper explores the importance of collecting high-quality validity evidence that aligns…

The aim of this study is to examine whether the items in the mathematics subtest of the Centralized High School Entrance Placement Test [HSEPT] administered in 2012 by the Ministry of National Education in Turkey show DIF according to gender and type of school. For this purpose, SIBTEST, Breslow-Day, Lord's [chi-squared] and Raju's area…

The Early Fractions Test is a paper-pencil test designed to measure mathematics achievement of third- and fourth-grade students in the domain of fractions. The purpose, or intended use, of the Early Fractions Test is to serve as a student pretest covariate and a test of baseline equivalence in the larger study. In this report, we discuss our…

International trended assessments have long attempted to provide instructional information to educational researchers and classroom teachers. Studies have shown that traditional methods of item analysis have not provided specific information that can be directly applicable to improve student performance. To this end, cognitive diagnosis models…

The accuracy of the results of the national tests in English, mathematics and science taken by 11-year olds in England has been a matter of much debate since their introduction in 1994, with estimates of the proportion of students incorrectly classified varying from 10 to 30%. Using live data from the 2009 and 2010 administration of the national…

In this technical report, we describe the results of a study of mathematics items written to align with the Common Core State Standards (CCSS) in grades 6-8. In each grade, CCSS items were organized into forms, and the reliability of these forms was evaluated along with an experimental form including items aligned with the National Council of…

Models of modern test theory imply statistical independence among responses, generally referred to as "local independence." One violation of local independence occurs when the response to one item governs the response to a subsequent item. Expanding on a formulation of this kind of violation as a process in the dichotomous Rasch model,…

The present study examined the technical adequacy of curriculum-based measures (CBMs) of early numeracy. Six 1-min early mathematics tasks were administered to 137 kindergarten and first-grade students, along with an omnibus test of early mathematics. The CBM measures included Count Out Loud, Quantity Discrimination, Number Identification, Missing…

The purpose of this study is to validate a test anxiety scale for Italian students. The scale is part of a questionnaire administered after the students' annual competence test by the National Institute for the Educational Evaluation of Instruction and Training (INVALSI). The aim of the scale is to explore the anxiety levels of Italian students…

The purpose of this study was to develop general outcome measures (GOM) in mathematics so that teachers could focus their instruction on needed prerequisite skills. We describe in detail, the manner in which content-related evidence was established and then present a number of statistical analyses conducted to evaluate the technical adequacy of…