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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 of the Group-Defining Contrasts Accounted for by the Principal Components Used in NAEP Student Group Distribution Models → Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 8 Science Combined National and State Main Assessment: 2005

NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 science combined national and state main assessment: 2005
Type of contrast Number of contrasts Mean Minimum Maximum Number of contrasts by proportion1 of variance explained
0.00 - 0.70 0.71 - 0.80 0.81 - 0.90 0.91 - 0.95 0.96 - 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), 2005 Science Assessment.
All contrasts 1,184 0.90 0.59 1.00 32 95 323 356 378
Student questionnaire 160 0.88 0.59 0.99 6 20 50 50 34
Major reporting variables 97 0.93 0.74 1.00 0 3 22 24 48
Interactions between reporting variables 636 0.90 0.59 0.99 16 43 168 180 229
Teacher questionnaire 105 0.89 0.62 0.99 9 10 24 30 32
School questionnaire 186 0.89 0.69 0.98 1 19 59 72 35

Last updated 13 May 2009 (RF)

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