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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 Assessments: 2011
| Type of contrast | Number of contrasts | Mean | Minimum | Maximum | Number of contrasts by proportion1 of variance explained | ||||
|---|---|---|---|---|---|---|---|---|---|
| 0.00 - 0.70 | 0.70 - 0.80 | 0.80 - 0.90 | 0.90 - 0.95 | 0.95 - 1.00 | |||||
| 1 (Total Variance – Residual Variance)/Total Variance, where Total Variance consists of both sampling and measurement error variance. NOTE: NIES = National Indian Education Study; SD/ELL = Students with disabilities/English language learners. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2011 Mathematics Assessment. |
|||||||||
| All contrasts | 1802 | 0.90 | 0.63 | 1.00 | 12 | 82 | 721 | 590 | 397 |
| Student questionnaire | 48 | 0.90 | 0.70 | 0.99 | 1 | 8 | 9 | 14 | 16 |
| Major reporting variables | 198 | 0.92 | 0.66 | 1.00 | 2 | 5 | 50 | 65 | 76 |
| Interactions between reporting variables | 278 | 0.89 | 0.63 | 0.98 | 7 | 15 | 93 | 127 | 36 |
| Teacher questionnaire | 522 | 0.91 | 0.74 | 0.99 | 0 | 15 | 190 | 156 | 161 |
| School questionnaire | 422 | 0.90 | 0.76 | 0.99 | 0 | 7 | 203 | 155 | 57 |
| NIES questionnaire | 291 | 0.87 | 0.64 | 0.99 | 2 | 31 | 160 | 65 | 33 |
| SD/ELL questionnaire | 43 | 0.92 | 0.79 | 1.00 | 0 | 1 | 16 | 8 | 18 |
Last updated 05 January 2016 (GF)
