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NAEP 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 Models → Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 12 Reading National Assessment: 2013
NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 12 reading national assessment: 2013
Type of contrast Number of contrasts Mean Minimum Maximum Number of contrasts by proportion1 of variance explained
.00 - .70 .70 - .80 .80 - .90 .90 - .95 .95 - 1.00

1 (Total Variance – Residual Variance)/Total Variance, where Total Variance consists of sampling, measurement, and other sources of error.
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), 2013 Reading Assessment.

All contrasts 1256 .90 .69 .99 1 55 555 435 210
Student questionnaire 224 .89 .70 .98 0 28 87 76 33
Major reporting variables 85 .92 .75 .99 0 1 26 26 32
Interactions between reporting variables 313 .90 .69 .98 1 24 90 154 44
School questionnaire 602 .90 .83 .99 0 0 344 170 88
SD/ELL questionnaire 32 .91 .78 .99 0 2 8 9 13

Last updated 21 May 2017 (DC)