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​​NAEP Technical Documentation

Number of Items by Severity of Differential Item Functioning (DIF), Mathematics Combined National and State Assessment: 2019

For dichotomously scored items, NAEP categorizes each item into one of three categories: "A" (items exhibiting no DIF), "B" (items exhibiting a weak indication of DIF), or "C" (items exhibiting a strong indication of DIF). A plus sign (+) indicates that items are differentially easier for the focal group (female, Black, or Hispanic students) than for the reference group (male or White students) after making an adjustment for the overall level of proficiency in the two groups. A minus sign (-) indicates that items are differentially more difficult for the focal group than for the reference group. For polytomously scored items, NAEP categorizes items into "AA," "BB," or "CC" categories and the plus or minus sign has the same interpretation as for dichotomously scored items. After reviewing "C" and "CC" items, subject area specialists decided that no items were biased, so none were deleted from the scale for this reason.

Number of dichotomously scored items, mathematics combined national and state assessment, by differential item functioning (DIF) group, grade, and DIF category: 2019
DIF category Female/Male Black/White Hispanic/White
This includes all items in the assessment (the prescaling decisions).
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
C- 1 3 1
B- 7 4 4
A 173 175 180
B+ 4 3 0
C+ 0 0 0
Grade 8
C- 2 1 0
B- 6 8 2
A 165 165 175
B+ 3 3 0
C+ 1 0 0


Number of dichotomously scored items, mathematics DBA national assessment, by differential item functioning (DIF) group, grade, and DIF category: 2019
DIF category Female/Male Black/White Hispanic/White
DBA = Digitally based assessment. This includes all items in the assessment (the prescaling decisions).
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
C- 0 0 0
B- 6 4 2
A 125 125 127
B+ 2 5 5
C+ 1 0 0


Number of dichotomously scored items, mathematics PBA national assessment, by differential item functioning (DIF) group, grade, and DIF category: 2019
DIF category Female/Male Black/White Hispanic/White
PBA = Paper-based assessment. This includes all items in the assessment (the prescaling decisions).
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
C- 2 1 0
B- 11 3 3
A 134 135 134
B+ 1 7 11
C+ 0 2 0


Number of polytomously scored items, mathematics combined national and state assessment, by differential item functioning (DIF) group, grade, and DIF category: 2019
DIF category Female/Male Black/White Hispanic/White
This includes all items in the assessment (the prescaling decisions).
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
CC- 0 0 0
BB- 0 0 0
AA 61 60 61
BB+ 0 1 0
CC+ 0 0 0
Grade 8
CC- 0 0 0
BB- 0 0 0
AA 64 64 65
BB+ 1 1 0
CC+ 0 0 0


Number of polytomously scored items, mathematics DBA national assessment, by differential item functioning (DIF) group, grade, and DIF category: 2019
DIF category Female/Male Black/White Hispanic/White
DBA = Digitally based assessment. This includes all items in the assessment (the prescaling decisions).
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
CC- 0 0 0
BB- 2 1 0
AA 46 46 48
BB+ 0 1 0
CC+ 0 0 0


Number of polytomously scored items, mathematics PBA national assessment, by differential item functioning (DIF) group, grade, and DIF category: 2019
DIF category Female/Male Black/White Hispanic/White
PBA = Paper-based assessment. This includes all items in the assessment (the prescaling decisions).
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
CC- 0 1 0
BB- 3 1 2
AA 37 40 41
BB+ 3 1 0
CC+ 0 0 0


Items identified as "C" items in at least one comparison, mathematics combined national and state assessment, by grade, block, and subscale: 2019
Block Item Subscale Comparison Group favored
No "CC" items were identified.
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
M1 M147801 Data analysis, statistics, and probability Black/White, Hispanic/White White
M2 M241701 Measurement Black/White White
M7 M155201 Number properties and operations Female/Male Male
M9 M377201 Data analysis, statistics, and probability Black/White White
Grade 8
M5 M223001 Number properties and operations Female/Male Male
M11 M251701 Number properties and operations Female/Male Female
M13 M3890MS Number properties and operations Female/Male Male
M14 M3864MS Geometry Black/White White


Items identified as "C" items in at least one comparison, mathematics DBA national assessment, by grade, block, and subscale: 2019
Block Item Subscale Comparison Group favored
DBA = Digitally based assessment. No "CC" items were identified. 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
M5 M192801 Measurement and geometry Female/Male Female


Items identified as "C" items in at least one comparison, mathematics PBA national assessment, by grade, block, and subscale: 2019
BlockItemSubscaleComparisonGroup favored
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
M4M190401AlgebraBlack/WhiteWhite
M6M175601Data analysis, statistics, and probabilityBlack/WhiteWhite
M6M198101Data analysis, statistics, and probabilityFemale/MaleMale
M6M198202AlgebraBlack/WhiteBlack
M11M181203Data analysis, statistics, and probabilityBlack/WhiteBlack
M11M189201AlgebraFemale/MaleMale


Last updated 05 October 2023 (SK)