NAEP Technical DocumentationComparison of Means and Percentiles of 2013 Scores and 2013-Transformed Provisional Scores, Grade 12 Mathematics National Assessment, by Scale: 2015

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. Prior to transformation, provisional estimates 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 2013 scores and 2013-transformed provisional scores, grade 12 mathematics national assessment, by scale: 2015
Scale	Statistic	Original 2013 estimate	2013-transformed provisional estimate	Difference between the provisional estimate and the original estimate
Composite	Mean	153.46	153.46	#
	10th percentile	110.53	110.28	-0.25
	25th percentile	131.21	130.79	-0.42
	50th percentile	153.80	153.48	-0.32
	75th percentile	176.72	176.92	0.19
	90th percentile	196.52	197.14	0.62
Number properties and operations	Mean	149.17	149.17	#
	10th percentile	104.76	104.86	0.10
	25th percentile	126.58	125.91	-0.67
	50th percentile	149.90	149.22	-0.68
	75th percentile	172.98	173.05	0.07
	90th percentile	193.31	194.01	0.70
Measurement and geometry	Mean	153.45	153.45	#
	10th percentile	111.15	111.21	0.06
	25th percentile	131.74	131.42	-0.32
	50th percentile	153.91	153.64	-0.27
	75th percentile	176.29	176.29	0.00
	90th percentile	195.52	195.82	0.30
Data analysis, statistics, and probability	Mean	153.04	153.04	#
	10th percentile	105.14	105.01	-0.13
	25th percentile	128.84	128.24	-0.60
	50th percentile	154.09	153.62	-0.47
	75th percentile	178.84	178.94	0.10
	90th percentile	199.97	200.68	0.71
Algebra	Mean	155.01	155.01	#
	10th percentile	111.98	111.94	-0.04
	25th percentile	132.56	132.24	-0.32
	50th percentile	155.20	154.87	-0.33
	75th percentile	178.30	178.36	0.06
	90th percentile	198.76	199.16	0.40
# Rounds to zero. NOTE: Since 2005, measurement and geometry are combined at grade 12. The grade 12 mathematics assessment was administered at the state level in 2013, but not in 2015. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Mathematics Assessment.

Last updated 18 November 2021 (ML)

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