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NAEP Analysis and ScalingEstimation of NAEP Score ScalesNAEP ScalesCorrelations Among NAEP Subject Area Subscales → Conditional Correlations and Residual Variances of the Subscales, Mathematics Combined National and State Assessment, by Subscale and Grade: 2019

​​NAEP Technical DocumentationConditional Correlations and Residual Variances of the Subscales, Mathematics Combined National and State Assessment, by Subscale and Grade: 2019

Conditional correlations and residual variances of the subscales, mathematics combined national and state assessment, by subscale and grade: 2019
Subscale Number properties and operations Measurement Geometry Data analysis, statistics, and probability Algebra
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment.
Grade 4
Number properties and operations .93 .83 .88 .96
Measurement .93 .87 .87 .92
Geometry .83 .87 .82 .84
Data analysis, statistics, and probability .88 .87 .82 .88
Algebra .96 .92 .84 .88
Residual variance .36 .34 .43 .39 .40
Grade 8
Number properties and operations .94 .88 .96 .96
Measurement .94 .89 .91 .93
Geometry .88 .89 .88 .89
Data analysis, statistics, and probability .96 .91 .88 .95
Algebra .96 .93 .89 .95
Residual variance .31 .35 .35 .32 .30


Conditional correlations and residual variances of the subscales, mathematics DBA national assessment, by subscale and grade: 2019
Subscale Number properties and operations Measurement and geometry Data analysis, statistics, and probability Algebra
DBA = Digitally based assessment. Since 2005, the measurement and geometry scales are combined at grade 12.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment.
Grade 12
Number properties and operations .97 .97 .97
Measurement and geometry .97 .98 .98
Data analysis, statistics, and probability .97 .98 .97
Algebra .97 .98 .97
Residual variance .22 .24 .26 .22


Conditional correlations and residual variances of the subscales, mathematics PBA national assessment, by subscale and grade: 2019
SubscaleNumber properties and operationsMeasurement and geometryData analysis, statistics, and probabilityAlgebra
PBA = Paper-based assessment. Since 2005, the measurement and geometry scales are combined at grade 12.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment.
Grade 12
Number properties and operations.98.99.99
Measurement and geometry.98.98.97
Data analysis, statistics, and probability.99.98.99
Algebra.99.97.99
Residual variance.25.19.20.20


Last updated 05 October 2023 (SK)