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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: 2013
NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure model, mathematics combined national and state assessment, by subscale and grade: 2013
Grade Number of initial group-defining contrasts2  Number of principal components2  Proportion1 of scale score variance
Number  properties and operations Measurement Geometry Data analysis, statistics, and probability Algebra
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: In 2013, measurement and geometry were 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), 2013 Mathematics Assessment.
4 2232 666 .57 .58 .52 .57 .56
8 2410 723 .63 .62 .60 .63 .66
12 2541 624 .76 .76                .76 .80

Last updated 21 May 2017 (DC)