NAEP Analysis and Scaling → Scale Linking and Transformation to the Reporting Metric → Comparisons of Distributions of Linking Samples for NAEP Assessments → Comparison of Means and Percentiles of 2007 Scores and 2007 Transformed Provisional Scores, Grade 12 Mathematics National Main Assessment, by Scale: 2009

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 2007 scores and 2007 transformed provisional scores, grade 12 mathematics national main assessment, by scale: 2009

Scale	Statistic	Original 2007 estimate	2007- transformed provisional estimate	Difference between the provisional estimate and the original estimate
# Rounds to zero. 1 For grade 12, measurement and geometry were combined. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
Composite scale	Mean	150.00	150.00	#
	10th percentile	105.29	104.93	0.36
	25th percentile	126.54	126.56	-0.02
	50th percentile	150.68	150.71	-0.03
	75th percentile	173.93	174.24	-0.31
	90th percentile	193.96	193.87	0.09
Number sense, properties, and operations	Mean	150.00	150.00	#
	10th percentile	103.99	103.74	0.25
	25th percentile	126.37	126.69	-0.32
	50th percentile	151.49	151.80	-0.31
	75th percentile	174.72	175.18	-0.46
	90th percentile	193.87	193.83	0.04
Measurement & Geometry1	Mean	150.00	150.00	#
	10th percentile	103.90	103.46	0.44
	25th percentile	126.24	126.24	#
	50th percentile	151.04	151.34	-0.30
	75th percentile	174.85	175.08	-0.23
	90th percentile	194.59	194.43	0.16
Data analysis, statistics, and probability	Mean	150.00	150.00	#
	10th percentile	104.13	104.05	0.08
	25th percentile	126.23	126.41	-0.18
	50th percentile	150.82	151.04	-0.22
	75th percentile	174.22	174.60	-0.38
	90th percentile	194.80	194.38	0.42
Algebra and functions	Mean	150.00	150.00	#
	10th percentile	104.52	104.55	-0.03
	25th percentile	125.40	125.18	0.22
	50th percentile	149.95	149.75	0.20
	75th percentile	174.55	174.84	-0.29
	90th percentile	196.17	195.99	0.18

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