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NAEP Analysis and ScalingScale Linking and Transformation to the Reporting MetricComparisons of Distributions of Linking Samples for NAEP Assessments → Comparison of Means and Percentiles of 2009 Scores and 2009 Transformed Provisional Scores, Grade 12 Mathematics Combined National and State Assessment, by Scale: 2013

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.

NAEP Technical DocumentationComparison of means and percentiles of 2009 scores and 2009 transformed provisional scores, grade 12 mathematics combined national and state assessment, by scale: 2013
Scale Statistics Original 2009 estimate 2009-transformed provisional estimate Difference between the provisional estimate and the original estimate
# Rounds to zero.
NOTE: In 2013 measurement and geometry were combined at grade 12.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2013 Mathematics Assessment.
Composite scale Mean 153.31 153.31 #
10th percentile 109.63 109.52 -0.11
25th percentile 130.12 129.76 -0.36
50th percentile 153.80 153.40 -0.40
75th percentile 176.96 177.04 0.08
90th percentile 196.56 197.29 0.73
Number properties and operations Mean 150.69 150.69 #
10th percentile 105.45 105.62 0.17
25th percentile 127.98 127.03 -0.95
50th percentile 152.38 151.21 -1.17
75th percentile 175.07 174.90 -0.17
90th percentile 194.15 195.43 1.28
Measurement and geometry Mean 153.43 153.43 #
10th percentile 110.01 110.08 0.07
25th percentile 130.70 130.47 -0.23
50th percentile 154.15 153.92 -0.23
75th percentile 177.00 177.04 0.04
90th percentile 196.20 196.42 0.22
Data analysis, statistics, and probability Mean 152.44 152.44 #
10th percentile 105.29 105.32 0.03
25th percentile 127.91 127.57 -0.34
50th percentile 153.38 153.01 -0.37
75th percentile 177.63 177.73 0.10
90th percentile 198.57 198.98 0.41
Algebra Mean 154.56 154.56 #
10th percentile 110.53 110.76 0.23
25th percentile 130.56 130.28 -0.28
50th percentile 154.57 154.14 -0.43
75th percentile 178.51 178.42 -0.09
90th percentile 199.24 199.69 0.45

Last updated 21 May 2017 (DC)