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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 4 Reading Combined National and State 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 4 reading combined national and state 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
All contrasts 2,734 0.90 0.60 1.00 10 110 1204 777 633
1(Total Variance – Residual Variance)/Total Variance, where Total Variance consists of both sampling and measurement error variance.
NOTE: NIES = National Indian Education Study; 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 Reading Assessment.
Student questionnaire 149 0.91 0.60 0.99 1 7 41 61 39
Major reporting variables 109 0.93 0.69 1.00 1 0 27 35 46
Interaction between reporting variables 462 0.91 0.61 0.99 5 27 110 150 170
Teacher questionnaire 966 0.90 0.72 0.99 0 40 435 253 238
School questionnaire 704 0.89 0.77 0.99 0 6 404 220 74
NIES questionnaire 300 0.87 0.64 0.99 3 28 175 52 42
SD/ELL questionnaire 44 0.92 0.78 0.99 0 2 12 6 24

Last updated 05 January 2016 (GF)