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 4 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 4 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	234.93	234.93	#
	10th percentile	197.41	196.22	1.19
	25th percentile	216.19	215.52	0.67
	50th percentile	236.29	236.19	0.10
	75th percentile	254.98	255.48	-0.50
	90th percentile	270.41	271.57	-1.16
Number sense, properties, and operations	Mean	232.84	232.84	#
	10th percentile	191.78	191.48	0.30
	25th percentile	212.28	212.05	0.23
	50th percentile	234.31	234.07	0.24
	75th percentile	254.69	254.76	-0.07
	90th percentile	271.89	272.14	-0.25
Measurement	Mean	234.36	234.36	#
	10th percentile	190.62	190.47	0.15
	25th percentile	212.74	212.22	0.52
	50th percentile	236.13	235.82	0.31
	75th percentile	257.73	257.78	-0.05
	90th percentile	275.28	275.72	-0.44
Geometry and spatial sense	Mean	233.91	233.91	#
	10th percentile	200.93	200.59	0.34
	25th percentile	217.49	217.20	0.29
	50th percentile	235.02	234.93	0.09
	75th percentile	251.49	251.55	-0.06
	90th percentile	265.25	265.59	-0.34
Data analysis, statistics, and probability	Mean	237.38	237.38	#
	10th percentile	200.91	200.49	0.42
	25th percentile	219.34	218.95	0.39
	50th percentile	238.76	238.64	0.12
	75th percentile	256.80	257.00	-0.20
	90th percentile	271.84	272.16	-0.32
Algebra and functions	Mean	240.68	240.68	#
	10th percentile	205.23	205.00	0.23
	25th percentile	223.28	222.87	0.41
	50th percentile	242.09	241.91	0.18
	75th percentile	259.55	259.63	-0.08
	90th percentile	274.09	274.43	-0.34
# 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