Table of Contents  |  Search Technical Documentation  |  References

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 Original 2003 Scores and 2003 Transformed Provisional Scores, Grade 8 Mathematics Combined National and State Main Assessment, by Scale: 2005

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 original 2003 scores and 2003 transformed provisional scores, grade 8 mathematics combined national and state main assessment, by scale: 2005

Scale	Statistic	Original 2003 score	2003 transformed provisional score	Difference between the provisional score and the original score
Composite scale	Mean	277.57	277.57	#
	10th percentile	229.93	228.55	1.38
	25th percentile	254.16	253.01	1.15
	50th percentile	279.31	278.84	0.47
	75th percentile	302.88	303.61	-0.73
	90th percentile	322.64	324.54	-1.90
Number sense, properties, and operations	Mean	277.15	277.15	#
	10th percentile	228.66	228.42	0.24
	25th percentile	253.62	252.92	0.70
	50th percentile	279.13	278.59	0.54
	75th percentile	302.84	303.06	-0.22
	90th percentile	322.82	323.44	-0.62
Measurement	Mean	275.32	275.32	#
	10th percentile	213.57	213.50	0.07
	25th percentile	245.53	244.12	1.41
	50th percentile	278.30	277.19	1.11
	75th percentile	308.14	308.26	-0.12
	90th percentile	332.86	334.37	-1.51
Geometry and spatial sense	Mean	274.57	274.57	0.00
	10th percentile	231.48	231.23	0.25
	25th percentile	253.34	252.76	0.58
	50th percentile	276.00	275.61	0.39
	75th percentile	297.23	297.27	-0.04
	90th percentile	315.74	316.27	-0.53
Data analysis, statistics, and probability	Mean	280.46	280.46	#
	10th percentile	226.51	226.47	0.04
	25th percentile	254.31	253.42	0.89
	50th percentile	282.87	282.07	0.80
	75th percentile	309.19	309.19	0.00
	90th percentile	330.86	331.95	-1.09
Algebra and functions	Mean	280.01	280.01	#
	10th percentile	233.48	233.43	0.05
	25th percentile	257.00	256.29	0.71
	50th percentile	281.50	280.73	0.77
	75th percentile	304.73	304.83	-0.10
	90th percentile	324.83	325.80	-0.97
# Rounds to zero. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2005 Mathematics Assessment.

Printer-friendly Version