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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 12 Economics National Assessment: 2012
NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 12 economics national assessment: 2012
Type of contrast Number of contrasts Mean Minimum Maximum Number of contrasts by proportion1 of variance explained
0.00 - 0.70 0.70 - 0.80 0.80 - 0.90 0.90 - 0.95 0.95 - 1.00
1 (Total Variance – Residual Variance)/Total Variance, where Total Variance consists of both sampling and measurement error variance.
NOTE: SD/ELL = Students with disabilities/English language learners.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2012 Economics Assessment.
All contrasts 1083 0.90 0.67 0.99 6 43 440 441 153
Student questionnaire 60 0.89 0.74 0.98 0 5 24 19 12
Major reporting variables 241 0.91 0.74 0.99 0 9 72 103 57
Interactions between reporting variables 414 0.89 0.67 0.98 6 29 153 171 55
Department head questionnaire 62 0.90 0.86 0.95 0 0 32 30 0
School questionnaire 274 0.90 0.82 0.99 0 0 145 105 24
SD/ELL questionnaire 32 0.89 0.80 0.97 0 0 14 13 5

Last updated 01 July 2014 (GF)