Skip to main content

​​​​​​​​​​​​​​​​​​​​​​​​NAEP TECHNICAL DOCUMENTATIONMathematics Long-Term Trend Assessment IRT Parameters

The table links provided below contain Item Response Theory (IRT) parameters for NAEP mathematics​ long-term trend items that were scaled, as well as the block in which each item appeared for each age group​ and the position of each item within its block. Note that these item parameters are provided in the metrics used for the original calibration of the scales.​​

​ ​
Links to tables of mathematics long-term trend item response theory (IRT) parameters, by year, assessment, and age: Various years, 2004–2023
YearAssessmentAge 9Age 13Age 17
2022/2023Long-term trend assessment R3 R3
2020Long-term trend assessment R3 R3
2012Long-term trend assessment R3 R3 R3
2008Long-term trend assessment R3 R3 R3
2004Long-term trend assessment R3 R3 R3
Long-term trend bridge study assessment R2 R2 R2
† Not applicable.​
NOTE: R2 is the non-accommodated reporting sample; R3 is the accommodated reporting sample. If sampled students are classified as students with disabilities (SD) or English learners (​E​L)​, and school officials, using NAEP guidelines, determine that they can meaningfully participate in the NAEP assessment with accommodation, those students are included in the NAEP assessment with accommodation along with other sampled students including SD/E​L students who do not need accommodations. The R3 sample is more inclusive than the R2 sample and excludes a smaller proportion of sampled students. The R3 sample is the only reporting sample used in NAEP after 2001. The R2 sample was used as the bridge sample in 2004 bridge studies to examine comparability of scoring based on an assessment sample similar to those used for LTT in 1999​ and years prior. The block naming conventions used in the 2020 mathematics long-term trend​ assessment are described in the document 2020 Block Naming Conventions in Data Products and TDW PDF File icon. The block naming conventions used in the 2022/2023 mathematics ​long-term trend​ assessments are described in the document 2022/2023 Block Naming Conventions in Data Products and TDW PDF File icon​​. In 2020 and 2022/2023, age 17 was not assessed.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), various years, 2004–2023 Mathematics Long-Term Trend Assessments.



Last updated 26 September 2024 (PG)