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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 4 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 4 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 992 0.90 0.65 0.99 6 25 452 320 189
Student questionnaire 135 0.90 0.65 0.99 5 8 24 75 23
Major reporting variables 58 0.93 0.80 0.99 0 1 24 7 26
Interactions between reporting variables 375 0.91 0.67 0.98 1 16 102 140 116
Teacher questionnaire 298 0.88 0.80 0.98 0 0 208 70 20
School questionnaire 126 0.89 0.84 0.98 0 0 94 28 4

Last updated 19 November 2009 (GF)

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