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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, Age 17 Reading Long-Term Trend Assessment: 2012
NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, age 17 reading long-term trend assessment: 2012
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.
NOTE: SD/ELL = Students with disabilities/English language learners.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2012 Reading Long-Term Trend Assessment.
All contrasts 485 0.90 0.64 0.99 5 34 149 194 103
Student questionnaire 76 0.90 0.64 0.99 1 6 18 27 24
Major reporting variables 81 0.92 0.75 0.99 0 4 24 20 33
Interactions between reporting variables 296 0.90 0.67 0.98 4 19 97 138 38
SD/ELL questionnaire 32 0.89 0.77 0.98 0 5 10 9 8

Last updated 20 September 2013 (JL)