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Rethinking Mathematics Misconceptions: Using Knowledge Structures to Explain Systematic Errors within and across Content Domains
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Rakes, Christopher R.; Ronau, Robert N. – International Journal of Research in Education and Science, 2019
The present study examined the ability of content domain (algebra, geometry, rational number, probability) to classify mathematics misconceptions. The study was conducted with 1,133 students in 53 algebra and geometry classes taught by 17 teachers from three high schools and one middle school across three school districts in a Midwestern state.…
Descriptors: Mathematics Instruction, Secondary School Teachers, Middle School Teachers, Misconceptions
Performance of Random Effects Model Estimators under Complex Sampling Designs
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Jia, Yue; Stokes, Lynne; Harris, Ian; Wang, Yan – Journal of Educational and Behavioral Statistics, 2011
In this article, we consider estimation of parameters of random effects models from samples collected via complex multistage designs. Incorporation of sampling weights is one way to reduce estimation bias due to unequal probabilities of selection. Several weighting methods have been proposed in the literature for estimating the parameters of…
Descriptors: Sampling, Computation, Statistical Bias, Statistical Analysis
A Nonparametric Framework for Comparing Trends and Gaps across Tests
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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
Fitting the Structured General Diagnostic Model to NAEP Data. Research Report. ETS RR-08-27
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Xu, Xueli; von Davier, Matthias – ETS Research Report Series, 2008
Xu and von Davier (2006) demonstrated the feasibility of using the general diagnostic model (GDM) to analyze National Assessment of Educational Progress (NAEP) proficiency data. Their work showed that the GDM analysis not only led to conclusions for gender and race groups similar to those published in the NAEP Report Card, but also allowed…
Descriptors: National Competency Tests, Models, Data Analysis, Reading Tests
Linking for the General Diagnostic Model. Research Report. ETS RR-08-08
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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
Sampling and Weighting in the National Assessment.
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Rust, Keith F.; Johnson, Eugene G. – Journal of Educational Statistics, 1992
Procedures for obtaining student samples for the National Assessment of Educational Progress (NAEP) and deriving survey weights for analysis of survey data are described. Sample designs are economically and operationally feasible, and weighting procedures result in increased precision of estimates as they account for the probabilities of student…
Descriptors: Data Analysis, Educational Assessment, Elementary Secondary Education, Estimation (Mathematics)