Purpose: This study aimed to compare difficulty indices calculated for open-ended items in accordance with the classical test theory (CTT) and the Many-Facet Rasch Model (MFRM). Although theoretical differences between CTT and MFRM occupy much space in the literature, the number of studies empirically comparing the two theories is quite limited.…

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…

Our nation is in the midst of one of the largest education reforms in decades centered on the adoption of the Common Core State Standards (CCSS) and aligned assessments. In an era of rising accountability measures and declining literacy proficiency, it is vital to ensure that educational resources, such as benchmark assessments, are appropriately…

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…

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…

In this study, the Classical test theory and generalizability theory were used for determination to reliability of scores obtained from measurement tool of mathematics success. 24 open-ended mathematics question of the TIMSS-1999 was applied to 203 students in 2007-spring semester. Internal consistency of scores was found as 0.92. For…

As the largest international study ever taken in history, the Trend in Mathematics and Science Study (TIMSS) has been held as a benchmark to measure U.S. student performance in the global context. In-depth analyses of the TIMSS project are conducted in this study to examine key issues of the comparative investigation: (1) item flaws in mathematics…

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…

In this study, we describe the development of rapid reading measures, sentences presented to students in a nearly subliminal manner, with a literal comprehension question asked following their removal. After administering alternate forms of these measures to students, we present the results from three statistical analyses to ascertain their…

The purpose of this study was to document the instrument development of maze measures for grades 3-8. Each maze passage contained twelve omitted words that students filled in by choosing the best-fit word from among the provided options. In this technical report, we describe the process of creating, reviewing, and pilot testing the maze measures.…

This paper extends the theory of conditional covariances to polytomous items. It has been mathematically proven that under some mild conditions, commonly assumed in the analysis of response data, the conditional covariance of two items, dichotomously or polytomously scored, is positive if the two items are dimensionally homogeneous and negative…