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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 8 Science Combined National and State Assessment, by Type of Contrast: 2015

NAEP Technical Documentation Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 8 Science Combined National and State Assessment, by Type of Contrast: 2015

Proportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 science combined national and state assessment, by type of contrast: 2015
Type of contrastNumber of contrastsMeanMinimumMaximumNumber of contrasts by proportion of variance explained1
.00 - .70.70 - .80.80 - .90.90 - .95.95 - 1.00
All contrasts2054.90.641.00869946648383
Student questionnaire257.90.64.994188111143
Major reporting variables125.92.781.0003393647
Interactions between reporting variables384.90.66.9842211019553
Teacher questionnaire485.91.75.99015215144111
School questionnaire767.89.78.9908488155116
SD/EL questionnaire36.90.79.990313713
1 (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), 2015 Science Assessment.

Last updated 30 November 2021 (ML)