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Table of Contents | Search Technical Documentation | References
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, Age 13 Mathematics Long-Term Trend Assessment: 2004
| 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.
NOTE: Teacher and school questionnaires were not included in the long-term trend assessments in 2004. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2004 Mathematics Long-Term Trend Assessment. |
|||||||||
| All contrasts | 765 | 0.90 | 0.56 | 0.98 | 9 | 40 | 254 | 334 | 128 |
| Student questionnaire | 53 | 0.87 | 0.63 | 0.97 | 2 | 11 | 13 | 18 | 9 |
| Major reporting variables | 37 | 0.92 | 0.61 | 0.98 | 1 | 0 | 10 | 12 | 14 |
| Interactions between reporting variables | 675 | 0.90 | 0.56 | 0.98 | 6 | 29 | 231 | 304 | 105 |
Last updated 13 May 2009 (RF)