NAEP Technical DocumentationComparison of Means and Percentiles of 2008 Scores and 2008-Transformed Provisional Scores, Grade 8 Arts National Assessment: 2016

Original estimates are based on previous assessment data and previous assessment scaling results, transformed to the reporting metric using the transformation constants 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 2008 scores and 2008-transformed provisional scores, grade 8 music national assessment: 2016

Statistic	Original 2008 estimate	2008-transformed provisional estimate	Difference between the transformed provisional estimate and the original estimate
Mean	150.00	150.00	#
10th percentile	105.03	104.53	-0.51
25th percentile	127.97	127.62	-0.35
50th percentile	151.42	151.65	0.23
75th percentile	173.71	173.76	0.05
90th percentile	193.61	193.85	0.24
# Rounds to zero. NOTE: The differences are based on the unrounded estimates. Single overall scale. In 2016, grades 4 and 12 were not assessed. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2016 Music Assessment.

Comparison of means and percentiles of 2008 scores and 2008-transformed provisional scores, grade 8 visual arts national assessment: 2016

Statistic	Original 2008 estimate	2008-transformed provisional estimate	Difference between the transformed provisional estimate and the original estimate
Mean	150.00	150.00	#
10th percentile	104.15	104.35	0.20
25th percentile	127.85	128.13	0.29
50th percentile	152.27	152.18	-0.09
75th percentile	173.86	173.84	-0.03
90th percentile	193.34	192.85	-0.49
# Rounds to zero. NOTE: The differences are based on the unrounded estimates. Single overall scale. In 2016, grades 4 and 12 were not assessed. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2016 Visual Arts Assessment.

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