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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 4 Mathematics Combined National and State 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 4 Mathematics Combined National and State 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 | 2424 | .90 | .66 | 1.00 | 1 | 83 | 1132 | 703 | 505 |
| Student questionnaire | 118 | .91 | .71 | .99 | 0 | 11 | 25 | 43 | 39 |
| Major reporting variables | 135 | .93 | .81 | 1.00 | 0 | 0 | 41 | 43 | 51 |
| Interactions between reporting variables | 281 | .90 | .66 | .98 | 1 | 18 | 99 | 129 | 34 |
| Teacher questionnaire | 898 | .90 | .75 | .99 | 0 | 20 | 415 | 221 | 242 |
| School questionnaire | 720 | .90 | .79 | .99 | 0 | 6 | 402 | 204 | 108 |
| NIES questionnaire | 234 | .87 | .71 | .99 | 0 | 27 | 135 | 53 | 19 |
| SD/EL questionnaire | 38 | .91 | .78 | .99 | 0 | 1 | 15 | 10 | 12 |
|
1 (Total Variance – Residual Variance) / Total Variance, where Total Variance consists of sampling, measurement, and other sources of error.
NOTE: NIES = National Indian Education Study. 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)