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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 8 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 8 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 | 2084 | .90 | .65 | 1.00 | 7 | 76 | 891 | 716 | 394 |
| Student questionnaire | 227 | .91 | .65 | .99 | 3 | 19 | 48 | 100 | 57 |
| Major reporting variables | 130 | .93 | .78 | 1.00 | 0 | 2 | 33 | 47 | 48 |
| Interactions between reporting variables | 380 | .91 | .68 | .98 | 4 | 14 | 103 | 201 | 58 |
| Teacher questionnaire | 264 | .91 | .74 | .99 | 0 | 7 | 93 | 85 | 79 |
| School questionnaire | 768 | .90 | .79 | .99 | 0 | 3 | 420 | 226 | 119 |
| NIES questionnaire | 279 | .86 | .71 | .99 | 0 | 30 | 181 | 51 | 17 |
| SD/EL questionnaire | 36 | .91 | .79 | .99 | 0 | 1 | 13 | 6 | 16 |
|
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)