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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 Variance Accounted for by the Principal Components Used in NAEP Population-Structure Models → Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Age 13 Reading Long-Term Trend Assessment: 2008

NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, age 13 reading long-term trend assessment: 2008
Type of contrast Number of contrasts Mean Minimum Maximum Number of contrasts by proportion1 of variance explained
0.00 - 0.70 0.71- 0.80 0.81- 0.90 0.91- 0.95 0.96- 1.00
1(Total Variance – Residual Variance)/Total Variance, where Total Variance consists of both sampling and measurement error variance.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2008 Reading Long-Term Trend Assessment.
All contrasts 683 0.90 0.63 0.99 15 55 199 222 192
Student questionnaire 85 0.89 0.63 0.99 2 14 19 27 23
Major reporting variables 62 0.89 0.67 0.99 1 7 26 7 21
Interactions between reporting variables 497 0.90 0.63 0.98 12 30 139 176 140
SD/ELL questionnaire 39 0.89 0.78 0.98 0 4 15 12 8

Last updated 14 December 2011 (GF)