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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 12 Civics 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 12 civics 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 Civics Assessment.
All contrasts 1055 0.90 0.64 0.99 15 62 395 337 246
Student questionnaire 233 0.88 0.64 0.99 6 38 75 78 36
Major reporting variables 61 0.91 0.77 0.99 0 3 24 13 21
Interactions between reporting variables 442 0.91 0.66 0.99 9 21 114 146 152
School questionnaire 286 0.90 0.83 0.99 0 0 166 90 30
SD/ELL questionnaire 33 0.90 0.81 0.97 0 0 16 10 7

Last updated 05 January 2016 (GF)