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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 Models, Mathematics Combined National and State Assessment, by Grade: 2003

NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure models, by grade, mathematics combined national and state assessment: 2003

Grade	Number of initial group-defining contrasts1	Number of principal components1	Proportion of scale score variance
			Number sense, properties, and operations	Measurement	Geometry and spatial sense	Data analysis, statistics, and probability	Algebra and functions
4	2,612	482	0.56	0.60	0.53	0.58	0.56
8	2,374	445	0.60	0.63	0.56	0.62	0.63
1 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), 2003 Mathematics Assessment.

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