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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 Combined National and State Main Assessment: 2007

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 combined national and state main assessment: 2007
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: 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), 2007 Reading Assessment.
All contrasts 1710 0.90 0.55 1.00 23 116 584 527 460
Student questionnaire 215 0.90 0.55 0.99 2 14 72 78 49
Major reporting variables 113 0.93 0.68 1.00 1 4 18 40 50
Interactions between reporting variables 555 0.91 0.61 0.99 12 23 138 183 199
Teacher questionnaire 255 0.90 0.67 0.99 1 13 108 57 76
School questionnaire 270 0.89 0.73 0.98 0 22 114 106 28
NIES questionnaire 262 0.87 0.67 0.99 7 37 126 54 38
SD/ELL questionnaire 40 0.93 0.75 0.99 0 3 8 9 20

Last updated 24 June 2010 (GF)

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