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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 Science National Main Assessment: 2009

NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 12 science national main assessment: 2009
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 0.95 - 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), 2009 Science Assessment.
All contrasts 1,577 0.90 0.65 0.99 11 69 688 487 322
Student questionnaire 309 0.88 0.65 0.99 6 34 125 96 48
Major reporting variables 62 0.91 0.74 0.99 0 2 30 9 21
Interaction between reporting variables 493 0.92 0.65 0.99 5 30 99 170 189
School questionnaire 676 0.89 0.83 0.99 0 0 419 200 57
SD/ELL questionnaire 37 0.89 0.77 0.98 0 3 15 12 7

Last updated 05 January 2016 (GF)