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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 not Permitted ): 2000
NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure model and grade, mathematics national main assessment (accommodations not permitted [R2]): 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 1,038 381 0.66 0.69 0.67 0.73 0.64
8 1,121 421 0.65 0.67 0.62 0.69 0.68
12 1,135 369 0.71 0.75 0.76 0.71 0.78
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 09 July 2008 (KL)

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