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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: 2017
NAEP Technical DocumentationProportion 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: 2017
| Type of contrast | Number of contrasts | Mean | Minimum | Maximum | Number of contrasts by proportion of variance explained 1 | ||||
|---|---|---|---|---|---|---|---|---|---|
| .00 - .70 | .70 - .80 | .80 - .90 | .90 - .95 | .95 - 1.00 | |||||
| All contrasts | 1456 | .90 | .60 | 1.00 | 10 | 82 | 565 | 489 | 310 |
| Student questionnaire | 244 | .92 | .73 | .99 | 0 | 9 | 62 | 77 | 96 |
| Major reporting variables | 163 | .91 | .63 | 1.00 | 1 | 4 | 58 | 49 | 51 |
| Interactions between reporting variables | 173 | .88 | .60 | .98 | 8 | 13 | 66 | 64 | 22 |
| Teacher questionnaire | 429 | .91 | .69 | .99 | 1 | 15 | 168 | 149 | 96 |
| School questionnaire | 413 | .89 | .73 | .98 | 0 | 32 | 201 | 144 | 36 |
| SD/EL questionnaire | 34 | .88 | .75 | .99 | 0 | 9 | 10 | 6 | 9 |
|
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), 2017 Mathematics Assessment. | |||||||||
Last updated 03 August 2022 (ML)