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NAEP Analysis and ScalingEstimation of Population and Student Group DistributionsExamining the Population-Structure Models Used in NAEPProportion of Scale Score Variance Accounted for by the Population-Structure Models → Proportion of Scale Score Variance Accounted for by the Population-Structure Model, Mathematics Combined National and State Assessment, by Subscale and Grade: 2015

NAEP Technical Documentation Proportion of Scale Score Variance Accounted for by the Population-Structure Model, Mathematics Combined National and State Assessment, by Subscale and Grade: 2015

Proportion of scale score variance accounted for by the population-structure model, mathematics combined national and state assessment, by subscale and grade: 2015
GradeNumber of initial conditioning contrasts2 Number of principal components2Proportion of scale score variance1
Number properties and operationsMeasurementGeometryData analysis, statistics, and probabilityAlgebra
436951004.58.59.56.60.56
83589907.64.64.60.61.68
122777576.76.75.75.78
1 (Total Variance – Residual Variance) / Total Variance, where Total Variance consists of sampling, measurement, and other sources of error.
2 Excluding the constant term.
NOTE: Since 2005, measurement and geometry are combined at grade 12.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Mathematics Assessment.

Last updated 30 November 2021 (ML)