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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 Geography National Assessment: 2010
NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 12 geography national assessment: 2010
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.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2010 Geography Assessment.
All contrasts 1053 0.90 0.66 1.00 10 53 415 343 232
Student questionnaire 238 0.89 0.67 0.99 4 20 98 84 32
Major reporting variables 62 0.90 0.73 1.00 0 3 29 10 20
Interactions between reporting variables 430 0.91 0.66 0.99 6 28 101 152 143
School questionnaire 290 0.90 0.81 0.99 0 0 174 82 34
SD/ELL questionnaire 33 0.89 0.78 0.96 0 2 13 15 3

Last updated 13 June 2016 (GF)