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HomeTDWNAEP Analysis and ScalingEstimation of Population and Student Group DistributionsExamining the Population-Structure Models Used in NAEPProportion of Variance Accounted for By Principal Components Used in NAEP Population-Structure ModelsProportion 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: 2007

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: 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 1541 0.90 0.60 1.00 20 121 496 467 437
Student questionnaire 149 0.90 0.62 0.99 1 7 59 53 29
Major reporting variables 115 0.93 0.63 1.00 1 4 19 37 54
Interactions between reporting variables 435 0.91 0.60 0.99 10 28 112 130 155
Teacher questionnaire 351 0.92 0.70 0.99 0 28 74 125 124
School questionnaire 229 0.89 0.71 0.99 0 10 113 79 27
NIES questionnaire 217 0.85 0.61 0.99 8 41 105 36 27
SD/ELL questionnaire 45 0.92 0.76 0.99 0 3 14 7 21

Last updated 24 June 2010 (GF)

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