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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 4 Reading Combined National and State Assessment, by Type of Contrast: 2017

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 Assessment, by Type of Contrast: 2017

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 assessment, by type of contrast: 2017
Type of contrast
Number of contrastsMeanMinimumMaximum
Number of contrasts by proportion of variance explained1
.00 - .70.70 - .80.80 - .90.90 - .95.95 - 1.00
All contrasts
1554.90.621.00996585498366
Student questionnaire324.93.73.990969111135
Major reporting variables316.90.621.001171399663
Interactions between reporting variables172.88.62.98813676024
Teacher questionnaire414.90.73.99027155124108
School questionnaire294.89.72.980201469929
SD/EL questionnaire34.87.75.99010987
(Total Variance – Residual Variance) / Total Variance, where Total Variance consists of sampling, measurement, and other sources of error. 
NOTE: SD/EL = Students with disabilities/English learners.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2017 Reading Assessment.




Last updated 11 May 2022 (SK)