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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 4, 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 4, 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	233.17	233.17	#
	Standard deviation	28.97	28.98	-0.01
	10th percentile	195.40	195.26	0.14
	25th percentile	213.53	213.30	0.23
	50th percentile	234.00	234.21	-0.21
	75th percentile	253.39	253.57	-0.18
	90th percentile	270.11	269.74	0.37
Number sense, properties and operations	Mean	231.28	231.28	#
	Standard deviation	30.87	30.87	#
	10th percentile	191.06	191.09	-0.03
	25th percentile	210.29	210.20	0.09
	50th percentile	231.99	232.45	-0.46
	75th percentile	252.65	252.96	-0.31
	90th percentile	270.53	270.26	0.27
Measurement	Mean	233.08	233.08	#
	Standard deviation	33.02	33.02	#
	10th percentile	189.84	189.52	0.32
	25th percentile	210.58	210.40	0.18
	50th percentile	234.17	234.24	-0.07
	75th percentile	256.32	256.44	-0.12
	90th percentile	275.16	274.70	0.46
Geometry and spatial sense	Mean	232.21	232.21	#
	Standard deviation	26.02	26.02	#
	10th percentile	198.35	198.27	0.08
	25th percentile	214.46	214.34	0.12
	50th percentile	232.80	232.88	-0.08
	75th percentile	250.39	250.45	-0.06
	90th percentile	265.43	265.22	0.21
Data analysis, statistics and probability	Mean	235.41	235.41	#
	Standard deviation	28.46	28.46	#
	10th percentile	198.43	198.26	0.17
	25th percentile	216.57	216.45	0.12
	50th percentile	236.11	236.18	-0.07
	75th percentile	255.31	255.36	-0.05
	90th percentile	271.26	271.19	0.07
Algebra and functions	Mean	237.79	237.79	#
	Standard deviation	27.51	27.51	#
	10th percentile	202.00	201.42	0.58
	25th percentile	219.24	219.34	-0.10
	50th percentile	238.41	238.79	-0.38
	75th percentile	257.05	257.09	-0.04
	90th percentile	272.54	272.29	0.25
# 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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