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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: 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 4 Reading 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 4 reading 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 contrasts2432.90.661.007781139706502
Student questionnaire132.91.72.9909415230
Major reporting variables131.93.701.0010384547
Interactions between reporting variables281.89.66.9751510012536
Teacher questionnaire897.91.77.99020416213248
School questionnaire718.90.79.9905393213107
NIES questionnaire237.87.70.991281385020
SD/EL questionnaire36.91.78.990113814
(Total Variance – Residual Variance) / Total Variance, where Total Variance consists of sampling, measurement, and other sources of error.
NOTE: NIES = National Indian Education Study. 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 Reading Assessment.

Last updated 26 November 2021 (ML)