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Qian, Jiahe – ETS Research Report Series, 2017
The variance formula derived for a two-stage sampling design without replacement employs the joint inclusion probabilities in the first-stage selection of clusters. One of the difficulties encountered in data analysis is the lack of information about such joint inclusion probabilities. One way to solve this issue is by applying Hájek's…
Descriptors: Mathematical Formulas, Computation, Sampling, Research Design
Malone, Amelia S.; Fuchs, Lynn S. – Journal of Learning Disabilities, 2017
The three purposes of this study were to (a) describe fraction ordering errors among at-risk fourth grade students, (b) assess the effect of part-whole understanding and accuracy of fraction magnitude estimation on the probability of committing errors, and (c) examine the effect of students' ability to explain comparing problems on the probability…
Descriptors: Error Patterns, Fractions, Mathematics Instruction, At Risk Students
National Assessment Governing Board, 2017
Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…
Descriptors: Mathematics Tests, Mathematics Achievement, Mathematics Instruction, Grade 4
Ho, Andrew Dean – Journal of Educational and Behavioral Statistics, 2009
Problems of scale typically arise when comparing test score trends, gaps, and gap trends across different tests. To overcome some of these difficulties, test score distributions on the same score scale can be represented by nonparametric graphs or statistics that are invariant under monotone scale transformations. This article motivates and then…
Descriptors: Nonparametric Statistics, Comparative Analysis, Trend Analysis, Scores
Xu, Xueli; von Davier, Matthias – ETS Research Report Series, 2008
Three strategies for linking two consecutive assessments are investigated and compared by analyzing reading data for the National Assessment of Educational Progress (NAEP) using the general diagnostic model. These strategies are compared in terms of marginal and joint expectations of skills, joint probabilities of skill patterns, and item…
Descriptors: National Competency Tests, Probability, Reading Achievement, Test Items
National Center for Education Statistics, 2011
Representative samples of fourth- and eighth-grade public school students from 21 urban districts participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. Eighteen of the districts participating in the 2011 NAEP Trial Urban District Assessment (TUDA) participated in earlier assessment years, while three districts…
Descriptors: Achievement Gap, Algebra, Comparative Analysis, Disabilities
National Center for Education Statistics, 2011
Representative samples of fourth- and eighth-grade public school students from 21 urban districts participated in the 2011 National Assessment of Educational Progress (NAEP) in reading. Eighteen of the districts participating in the 2011 NAEP Trial Urban District Assessment (TUDA) participated in earlier assessment years, while three districts…
Descriptors: Achievement Gap, Comparative Analysis, Disabilities, Educational Assessment
Kitmitto, Sami; Bandeira de Mello, Victor – National Center for Education Statistics, 2008
This report examines the relationship between various characteristics of students with disabilities and the probability that they would participate in the NAEP assessments, given the current methods of accommodation adopted by their state. The report describes the methodological approach which calculates for each state an expected inclusion rate…
Descriptors: Disabilities, Student Participation, Student Characteristics, National Competency Tests
Oranje, Andreas – ETS Research Report Series, 2006
Confidence intervals are an important tool to indicate uncertainty of estimates and to give an idea of probable values of an estimate if a different sample from the population was drawn or a different sample of measures was used. Standard symmetric confidence intervals for proportion estimates based on a normal approximation can yield bounds…
Descriptors: Computation, Statistical Analysis, National Competency Tests, Comparative Analysis
National Center for Education Statistics, 2011
This report presents results of the 2011 National Assessment of Educational Progress (NAEP) in mathematics at grades 4 and 8. Nationally representative samples of 209,000 fourth-graders and 175,200 eighth-graders participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. At each grade, students responded to…
Descriptors: National Competency Tests, Data Analysis, Grade 4, Probability
Bay, Luz; Loomis, Susan Cooper; Wang, Tianyou – 1995
This study examines the effects on the National Assessment of Educational Progress (NAEP) achievement levels of using item response theory (IRT) models that have nominal missing-response parameters. It compares cutpoints based on item parameters that were fitted using two different models. The first set of cutpoints were based on parameters for…
Descriptors: Academic Achievement, Comparative Analysis, Cutting Scores, High School Seniors
Lee, J.; Grigg, W.; Dion, G. – National Center for Education Statistics, 2007
The 2007 National Assessment of Educational Progress (NAEP) evaluated students' understanding of mathematics concepts and their ability to apply mathematics to everyday situations. Students demonstrated their knowledge of these critical skills by responding to questions about number properties and operations, measurement, geometry, data analysis…
Descriptors: Grade 8, Grade 4, Probability, Data Analysis