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NAEP Analysis and Scaling → Estimation of Population and Student Group Distributions → Examining the Population-Structure Models Used in NAEP → Proportion of Scale Score Variance Accounted for by the Population-Structure Models → Proportion of Scale Score Variance Accounted for by the Population-Structure Model and Grade, Mathematics National Main Assessment (Accommodations Permitted ): 2000
NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure model and grade, mathematics national main assessment (accommodations permitted [R3]): 2000
Grade Number of initial group-defining contrasts2 Number of principal components2 Proportion1 of scale score variance
Number sense properties and operations Measurement Geometry and spatial sense Data analysis statistics and probability Algebra and functions
4 1,038 386 0.65 0.66 0.65 0.70 0.64
8 1,121 431 0.66 0.69 0.63 0.70 0.69
12 1,135 374 0.71 0.74 0.76 0.72 0.79
1 Proportion is (Total Variance – Residual Variance)/Total Variance.
2 Excluding the constant term.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2000 Mathematics Assessment.

Last updated 30 January 2008 (GF)

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