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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 U.S. History National Main Assessment: 2006

NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 U.S. history national main assessment: 2006
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), 2006 U.S. History Assessment.
All contrasts 1071 0.90 0.60 0.99 11 47 427 344 242
Student questionnaire 165 0.89 0.60 0.99 5 17 45 58 40
Major reporting variables 60 0.92 0.81 0.99 0 0 27 5 28
Interactions between reporting variables 495 0.91 0.64 0.98 6 18 132 194 145
Teacher questionnaire 218 0.88 0.77 0.98 0 12 115 70 21
School questionnaire 133 0.88 0.81 0.98 0 0 108 17 8

Last updated 19 November 2009 (GF)

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