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NAEP Analysis and Scaling → Scale Linking and Transformation to the Reporting Metric → Comparisons of Distributions of Linking Samples for NAEP Assessments → Comparison Means and Percentiles of 2002 Scores and 2002 Transformed Provisional Scores in Mathematics at Grade 8, by Scale: 2003

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 means and percentiles of 2002 scores and 2002 transformed provisional scores in mathematics at grade 8, by scale: 2003

Scale	Statistic	2002 scores from bridge sample	2002 transformed provisional scores from bridge sample	Difference between the 2002 provisional scores and the 2002 scores from bridge sample
Composite	Mean	277.07	277.07	#
	Standard deviation	37.47	37.48	-0.01
	10th percentile	227.58	227.28	0.30
	25th percentile	252.42	252.56	-0.14
	50th percentile	278.85	278.78	0.07
	75th percentile	303.06	303.21	-0.15
	90th percentile	324.19	323.97	0.22
Number sense, properties and operations	Mean	276.96	276.96	#
	Standard deviation	36.94	36.94	#
	10th percentile	228.25	228.26	-0.01
	25th percentile	252.90	252.92	-0.02
	50th percentile	278.80	278.93	-0.13
	75th percentile	302.64	302.76	-0.12
	90th percentile	323.31	323.08	0.23
Measurement	Mean	275.62	275.62	#
	Standard deviation	48.71	48.71	#
	10th percentile	210.92	210.94	-0.02
	25th percentile	243.91	243.95	-0.04
	50th percentile	278.09	278.14	-0.05
	75th percentile	309.77	309.73	0.04
	90th percentile	336.40	336.31	0.09
Geometry and spatial sense	Mean	273.55	273.55	#
	Standard deviation	33.60	33.60	#
	10th percentile	229.34	229.46	-0.12
	25th percentile	251.78	251.59	0.19
	50th percentile	274.56	274.86	-0.30
	75th percentile	296.81	296.44	0.37
	90th percentile	315.92	316.21	-0.29
Data analysis, statistics and probability	Mean	279.74	279.74	#
	Standard deviation	40.99	40.99	#
	10th percentile	225.60	225.49	0.11
	25th percentile	252.90	253.41	-0.51
	50th percentile	281.83	281.90	-0.07
	75th percentile	308.53	308.46	0.07
	90th percentile	331.05	330.98	0.07
Algebra and functions	Mean	279.26	279.26	#
	Standard deviation	37.10	37.10	#
	10th percentile	230.33	230.07	0.26
	25th percentile	255.01	255.21	-0.20
	50th percentile	281.02	280.89	0.13
	75th percentile	305.07	305.05	0.02
	90th percentile	325.78	325.77	0.01
# Rounds to zero. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2003 Mathematics Assessment.

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