NAEP Technical DocumentationMathematics Assessment IRT Parameters

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

Links to mathematics item response theory (IRT) parameters tables, by subscale, year, and assessment: Various years, 2000–2017

Year	Assessment	Number properties and operations	Measurement	Geometry	Data analysis, statistics, and probability	Algebra
2017	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
2015	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
	National assessment grade 121	R3	R3		R3	R3
2013	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
	Combined national and state assessments grade 121	R3	R3		R3	R3
2011	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
2009	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
	Combined national and state assessments grade 121	R3	R3		R3	R3
2007	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
2005	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
	National assessment grade 121	R3	R3		R3	R3
2003	Combined national and state assessments grade 4	R3	R3	R3	R3	R3
	Combined national and state assessments grade 8	R3	R3	R3	R3	R3
2000	National assessment grade 4	R3 / R2	R3 / R2	R3 / R2	R3 / R2	R3 / R2
	National assessment grade 8	R3 / R2	R3 / R2	R3 / R2	R3 / R2	R3 / R2
	National assessment grade 12	R3 / R2	R3 / R2	R3 / R2	R3 / R2	R3 / R2
	State assessment grade 4	R3 / R2	R3 / R2	R3 / R2	R3 / R2	R3 / R2
	State assessment grade 8	R3 / R2	R3 / R2	R3 / R2	R3 / R2	R3 / R2
1 Since 2005, measurement and geometry have been combined as a subscale for scaling at grade 12. 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 (EL), 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/EL students who do not need accommodations. The R3 sample is more inclusive than the R2 sample type and excludes a smaller proportion of sampled students. The R3 sample is the only reporting sample used in NAEP after 2001.  SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), various years, 2000–2017 Mathematics Assessments.

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