Explore NAEP results! By clicking "continue" you will be leaving the National Assessment of Educational Progress (NAEP) operational website and opening The Nation's Report Card (NRC) website. Explore NAEP results about students' performance, and access a suite of data tools.
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
Subscale
Number properties and operations
Measurement and geometry
Data analysis, statistics, and probability
Algebra
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.