Skip to main content

Table of Contents | Search Technical Documentation | References

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 2011 Scores and 2011 Transformed Provisional Scores, Grade 8 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 2011 scores and 2011 transformed provisional scores, grade 8 mathematics combined national and state assessment, by scale: 2013
Scale Statistics Original 2011 estimate 2011-transformed provisional estimate Difference between the provisional estimate and the original estimate
# Rounds to zero.
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 283.85 283.85 #
10th percentile 236.88 235.02 -1.86
25th percentile 260.08 258.93 -1.15
50th percentile 284.92 284.80 -0.12
75th percentile 308.84 309.79 0.95
90th percentile 329.44 331.44 2.00
Number properties and operations Mean 280.52 280.52 #
10th percentile 233.98 233.49 -0.49
25th percentile 257.09 256.61 -0.48
50th percentile 281.81 281.51 -0.30
75th percentile 305.22 305.40 0.18
90th percentile 325.62 326.15 0.53
Measurement Mean 279.64 279.64 #
10th percentile 218.60 218.01 -0.59
25th percentile 249.76 248.47 -1.29
50th percentile 281.80 281.16 -0.64
75th percentile 312.11 312.22 0.11
90th percentile 337.89 339.00 1.11
Geometry Mean 281.38 281.38 #
10th percentile 236.67 236.34 -0.33
25th percentile 259.11 258.25 -0.86
50th percentile 282.58 282.00 -0.58
75th percentile 305.02 305.14 0.12
90th percentile 324.65 325.47 0.82
Data analysis,                statistics, and probability Mean 286.00 286.00 #
10th percentile 231.49 230.79 -0.70
25th percentile 259.18 258.20 -0.98
50th percentile 287.82 287.39 -0.43
75th percentile 315.02 315.37 0.35
90th percentile 338.36 339.23 0.87
Algebra Mean 288.75 288.75 #
10th percentile 241.79 241.69 -0.10
25th percentile 265.00 264.30 -0.70
50th percentile 289.71 289.20 -0.51
75th percentile 313.88 313.95 0.07
90th percentile 334.86 335.36 0.50

Last updated 21 May 2017 (DC)