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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 Main Assessment: 2009
| Type of contrast | Number of contrasts | Mean | Minimum | Maximum | Number of contrasts by proportion1 of variance explained | ||||
|---|---|---|---|---|---|---|---|---|---|
| 0.00 - 0.70 | 0.71 - 0.80 | 0.81 - 0.90 | 0.91 - 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), 2009 Mathematics Assessment. |
|||||||||
| All contrasts | 2,708 | 0.90 | 0.61 | 1.00 | 9 | 116 | 1183 | 757 | 643 |
| Student questionnaire | 129 | 0.91 | 0.61 | 0.99 | 2 | 8 | 36 | 39 | 44 |
| Major reporting variables | 113 | 0.93 | 0.69 | 1.00 | 1 | 1 | 30 | 36 | 45 |
| Interaction between reporting variables | 467 | 0.91 | 0.62 | 0.99 | 4 | 29 | 111 | 162 | 161 |
| Teacher questionnaire | 973 | 0.90 | 0.73 | 0.99 | 0 | 36 | 435 | 250 | 252 |
| School questionnaire | 702 | 0.89 | 0.77 | 0.99 | 0 | 6 | 407 | 215 | 74 |
| NIES questionnaire | 277 | 0.87 | 0.66 | 0.99 | 2 | 36 | 147 | 50 | 42 |
| SD/ELL questionnaire | 47 | 0.92 | 0.82 | 0.99 | 0 | 0 | 17 | 5 | 25 |
Last updated 05 January 2016 (GF)
