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NAEP Analysis and Scaling → Estimation of Population and Student Group Distributions → Examining the Population-Structure Models Used in NAEP → Proportion 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 Arts National Assessment, by Type of Contrast: 2016

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 Arts National Assessment, by Type of Contrast: 2016

Proportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 music national assessment, by type of contrast: 2016
Type of contrastNumber of contrastsMeanMinimumMaximumNumber of contrasts by proportion of variance explained 1
.00 - .70.70 - .80.80 - .90.90 - .95.95 - 1.00
All contrasts799.90.69.9914328138193
Student questionnaire171.89.70.98026517123
Major reporting variables76.92.81.9900262723
Interactions between reporting variables 320.90.69.9711710316435
School questionnaire201.91.86.97008210712
SD/EL questionnaire31.89.80.950019120
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), 2016 Music Assessment.

Proportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 visual arts national assessment, by type of contrast: 2016
Type of contrastNumber of contrastsMeanMinimumMaximumNumber of contrasts by proportion of variance explained 1
.00 - .70.70 - .80.80 - .90.90 - .95.95 - 1.00
All contrasts785.90.69.99246287344106
Student questionnaire169.89.69.98226416535
Major reporting variables76.92.79.9901272721
Interactions between reporting variables302.90.70.9701710913838
School questionnaire207.91.86.97009310311
SD/EL questionnaire31.88.79.950217111
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), 2016 Visual Arts Assessment.


Last updated 01 April 2022 (ML)
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