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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 Reading Combined National and State Main Assessment: 2002

NAEP Technical DocumentationProportion of variance of the group-defining contrasts accounted for by the principal components used in the population-structure model, grade 8 reading combined national and state main assessment: 2002
Type of contrast Number of contrasts Mean Minimum Maximum Number of contrasts by proportion of variance explained
0.00 - 0.70 0.70 - 0.80 0.80 - 0.90 0.90 - 0.95 0.95 - 1.00
NOTE: A value of 1.00 in the table does not imply that all of a single contrast's variance is accounted for by the set of principal components. Rather, the proportion of variance accounted for is high and is closer to 1.00 than any other number when expressed with two decimals of precision.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2002 Reading Assessment.
All contrasts 1399 0.90 0.68 1.00 3 97 508 433 358
Student questionnaire 239 0.89 0.68 0.99 3 18 92 85 41
Major reporting variables 97 0.92 0.77 1.00 0 1 26 39 31
Interactions between reporting variables 342 0.89 0.71 1.00 0 35 122 110 75
Teacher questionnaire 366 0.90 0.70 0.98 0 33 116 101 116
School questionnaire 355 0.90 0.73 1.00 0 10 152 98 95

Last updated 25 March 2009 (RF)

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