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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 and Contrast-Coded Direct Covariates Used in the Population-Structure Model, Grade 8 Civics National Assessment, by Type of Contrast: 2022

​NAEP Technical DocumentationProportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components and Contrast-Coded Direct Covariates Used in the Population-Structure Model, Grade 8 Civics National Assessment, by Type of Contrast: 2022

Proportion of variance of the group-defining contrasts accounted for by the principal components and contrast-coded direct covariates used in the population-structure model, grade 8 civics national assessment, by type of contrast: 2022
Type of contrastNumber of contrastsMeanTotalReportableNumber of contrasts by proportion of variance explained
MinimumMaximumMinimumMaximum.00 - .70.70 - .80.80 - .90.90 - .95.95 - 1.00
(Total Variance – Residual Variance) / Total Variance, where Total Variance includes variance accounted and unaccounted for by the variables in the population-structure model.
The major reporting variables include the contrasts from the direct covariates. SD/EL = Students with disabilities/English learners.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2022 Civics Assessment.
All contrasts1619.88.121.00.151.0019298221273835
Student questionnaire260.87.151.00.151.0028193050133
Major reporting variables304.92.121.00.241.002162744206
Interactions between reporting variables238.72.13.99.27.999325293853
Teacher questionnaire469.92.35.99.56.9919297687258
School questionnaire317.93.59.99.62.996165753185
SD/EL questionnaire31.47.14.93.20.93253210






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