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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 Reading Vocabulary 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 8 reading vocabulary national assessment: 2009
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
† Not applicable; Category does not exist.
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 Vocabulary Assessment.
All contrasts 272 0.90 0.63 1.00 19 16 64 74 99
Student questionnaire 5 0.98 0.96 0.99 0 0 0 0 5
Major reporting variables 69 0.94 0.87 1.00 0 0 13 25 31
Interaction between reporting variables 198 0.88 0.63 1.00 19 16 51 49 63
Teacher questionnaire
School questionnaire
NIES questionnaire
SD/ELL questionnaire

Last updated 05 January 2016 (GF)