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NAEP Analysis and ScalingScale Linking and Transformation to the Reporting MetricNAEP Variance Estimation During Transition to Digitally Based Assessment → Quadratic Function Coefficients Used for Linking Variance Calculation, Reading Combined National and State Assessment, by Grade, Scale, and Type of Statistic: 2017

NAEP Technical DocumentationQuadratic Function Coefficients Used for Linking Variance Calculation, Reading Combined National and State Assessment, by Grade, Scale, and Type of Statistic: 2017

Quadratic function coefficients used for linking variance calculation, reading combined national and state assessment, by grade, scale, and type of statistic: 2017
GradeScaleType of statisticABC
4CompositeMean and percentiles0.0000678900-0.03121000003.6973400000
CompositeStandard deviation0.0000680700-0.00001043000.0000925300
CompositeAchievement level: At or above NAEP Basic-0.00009526000.0100120000-0.0872200000
CompositeAchievement level: At or above NAEP Proficient-0.00008759000.0087600000-0.0434300000
CompositeAchievement level: Below NAEP Basic-0.00009526000.0090400000-0.0386200000
CompositeAchievement level: At NAEP Basic0.00000000000.00000000000.1021170000
CompositeAchievement level: At NAEP Proficient0.00000000000.00000000000.0738970000
CompositeAchievement level: At NAEP Advanced-0.00009013000.0097000000-0.0488500000
Reading for literary experience
Mean and percentiles0.0000753600-0.03528000004.2347900000
Reading for literary experience
Standard deviation0.0000753600-0.00000004470.0000005904
Reading for informationMean and percentiles0.0000877400-0.03935000004.5620400000
Reading for informationStandard deviation0.0000877400-0.00000000890.0000000460
8CompositeMean and percentiles0.0000589000-0.03202000004.4708900000
CompositeStandard deviation0.00005882000.00000190000.0000379300
CompositeAchievement level: At or above NAEP Basic-0.00012444000.0122680000-0.0455900000
CompositeAchievement level: At or above NAEP Proficient-0.00010527000.0107700000-0.0394300000
CompositeAchievement level: Below NAEP Basic-0.00012444000.0126200000-0.0631900000
CompositeAchievement level: At NAEP Basic0.00000000000.00000000000.1437230000
CompositeAchievement level: At NAEP Proficient0.00000000000.00000000000.1358000000
CompositeAchievement level: At NAEP Advanced0.00022798000.0094400000-0.0058200000
Reading for literary experience
Mean and percentiles0.0000860900-0.04612000006.3208900000
Reading for literary experience
Standard deviation0.0000860900-0.0000000028-0.0000000552
Reading for informationMean and percentiles0.0000622700-0.03413000004.8047200000
Reading for informationStandard deviation0.0000622700-0.00000001490.0000000578
NOTE: The column headers A, B, and C stand for the coefficients of the quadratic equation which has the general form Ax2 + Bx + C. The term x represents the point estimation of the statistic. In 2017, grade 12 was not assessed.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2017 Reading Assessment.






Last updated 08 August 2022 (ML)