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NAEP Analysis and ScalingScale Linking and Transformation to the Reporting MetricComparisons of Distributions of Linking Samples for NAEP Assessments → Comparisons of Means and Percentiles of Scores and Transformed Provisional Scores, Age 9 Reading Long-Term Trend National Assessment: 2020

​​​​NAEP Technical DocumentationComparisons of Means and Percentiles of Scores and Transformed Provisional Scores, Age 9 Reading Long-Term Trend National Assessment: 2020

Original estimates are based on previous assessment data and previous assessment scaling results, transformed to the reporting metric using the transformation identified during the analysis of the previous assessment data. Provisional estimates are based on previous assessment data and current assessment scaling results. These are on the theta metric specified by the scaling program. The original and provisional estimates for the linking sample are used to find the transformation constants necessary to place the current assessment scale scores on the scale used to report previous assessment scale scores. The transformed provisional estimates are based on previous assessment data and current assessment scaling results, transformed to the reporting metric using the transformation constants calculated from the original and provisional estimates for the linking sample. If the transformation constants are correct, the original and transformed provisional means should be the same.

Comparison of means and percentiles of 2012 scores and 2012-transformed provisional scores, age 9 reading long-term trend national assessment, by scale: 2012 and 2020
StatisticOriginal 2012 estimate2012-transformed provisional estimateDifference between the provisional estimate and the original estimate
Rounds to zero.
The differences are based on the unrounded estimates.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2012 and 2020 Reading Long-Term Trend Assessments.
Univariate scale
Mean220.76220.76
10th percentile170.78170.970.19
25th percentile198.69198.53-0.16
50th percentile224.38224.10-0.28
75th percentile246.41246.540.13
90th percentile265.53265.860.33


Last updated 28 March 2024 (SK)