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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, Age 9 Mathematics Long-Term Trend National Assessment, by Type of Contrast: 2022
NAEP Technical DocumentationProportion of Variance of the Group-Defining Contrasts Accounted for by the Principal Components Used in the Population-Structure Model, Age 9 Mathematics Long-Term Trend National Assessment, by Type of Contrast: 2022
| Type of contrast | Number of contrasts | Mean | Minimum | Maximum | Number of contrasts by proportion of variance explained | ||||
|---|---|---|---|---|---|---|---|---|---|
| .00 - .70 | .70 - .80 | .80 - .90 | .90 - .95 | .95 - 1.00 | |||||
| (Total Variance – Residual Variance) / Total Variance, where Total Variance includes variance accounted and unaccounted for by the variables in the population-structure model. | |||||||||
| U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2022 Mathematics Long-Term Trend Assessment. | |||||||||
| All contrasts | 1209 | .90 | .75 | .99 | 0 | 33 | 504 | 560 | 112 |
| Student questionnaire | 125 | .91 | .75 | .98 | 0 | 7 | 30 | 61 | 27 |
| Major reporting variables | 97 | .92 | .79 | .99 | 0 | 2 | 30 | 37 | 28 |
| Interactions between reporting variables | 775 | .89 | .75 | .98 | 0 | 24 | 387 | 334 | 30 |
| School questionnaire | 212 | .92 | .87 | .99 | 0 | 0 | 57 | 128 | 27 |
Last updated 24 July 2024 (SK)