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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 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, Grade 8 U.S. History National Assessment: 2010
NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 U.S. history national assessment: 2010
Type of contrast Number of contrasts Mean Minimum Maximum Number of contrasts by proportion1 of variance explained
0.00 - 0.70 0.70 - 0.80 0.80 - 0.90 0.90 - 0.95 0.95 - 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), 2010 U.S. History Assessment.
All contrasts 1401 0.90 0.63 1.00 12 58 584 466 281
Student questionnaire 195 0.89 0.63 0.99 5 19 58 75 38
Major reporting variables 64 0.92 0.78 1.00 0 2 26 14 22
Interactions between reporting variables 465 0.91 0.65 0.99 7 32 121 158 147
Teacher questionnaire 385 0.89 0.80 0.98 0 0 234 117 34
School questionnaire 257 0.91 0.84 0.99 0 0 133 90 34
SD/ELL questionnaire 35 0.88 0.76 0.98 0 5 12 12 6

Last updated 05 January 2016 (GF)