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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 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 12 Mathematics National Assessment, by Type of Contrast: 2015
NAEP Technical Documentation Proportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Grade 12 Mathematics National Assessment, by Type of Contrast: 2015
| Type of contrast | Number of contrasts | Mean | Minimum | Maximum | Number of contrasts by proportion of variance explained1 | ||||
|---|---|---|---|---|---|---|---|---|---|
| .00 - .70 | .70 - .80 | .80 - .90 | .90 - .95 | .95 - 1.00 | |||||
| All contrasts | 1528 | .90 | .68 | .99 | 4 | 72 | 623 | 611 | 218 |
| Student questionnaire | 339 | .88 | .68 | .99 | 2 | 42 | 150 | 95 | 50 |
| Major reporting variables | 66 | .92 | .76 | .99 | 0 | 2 | 19 | 19 | 26 |
| Interactions between reporting variables | 433 | .90 | .69 | .98 | 2 | 26 | 156 | 199 | 50 |
| School questionnaire | 656 | .91 | .85 | .99 | 0 | 0 | 279 | 288 | 89 |
| SD/EL questionnaire | 34 | .88 | .77 | .96 | 0 | 2 | 19 | 10 | 3 |
|
1 (Total Variance – Residual Variance) / Total Variance, where Total Variance consists of sampling, measurement, and other sources of error.
NOTE: SD/EL = Students with disabilities/English learners. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Mathematics Assessment. | |||||||||
Last updated 26 November 2021 (ML)