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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Assessment IRT Parameters → IRT Parameters for Items in the Number Properties and Operations Subscale, Grade 12 Mathematics National Assessment, by Item and Block: 2015

NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 12 Mathematics National Assessment, by Item and Block: 2015

IRT parameters for items in the number properties and operations subscale, grade 12 mathematics national assessment, by item and block: 2015
Block	Item	NAEP ID	a_j	b_j	c_j	d_j1	d_j2	d_j3	d_j4
M1	6	M185901	1.56	1.87	0.16	†	†	†	†
M1	10	M183901	1.20	0.21	†	†	†	†	†
M2	3	M304501	1.21	0.74	0.17	†	†	†	†
M3	2	M181701	0.70	-1.92	0.17	†	†	†	†
M3	9	M197401	1.37	-0.15	0.16	†	†	†	†
M4	5	M177001	0.95	-0.41	0.18	†	†	†	†
M4	12	M197801	0.73	0.78	0.15	†	†	†	†
M5	2	M175701	1.39	0.65	0.25	†	†	†	†
M5	12	M180301	1.10	2.13	0.06	†	†	†	†
M6	1	M182901	1.03	2.21	0.26	†	†	†	†
M7	4	M310401	1.36	-0.49	†	†	†	†	†
M8	3	M193101	0.95	1.17	†	†	†	†	†
M9	6	M194101	0.88	0.72	0.14	†	†	†	†
M10	1	M199001	1.51	-0.94	0.17	†	†	†	†
M11	3	M180601	1.27	0.86	0.21	†	†	†	†
M11	8	M184401	1.10	0.48	0.16	†	†	†	†
M12	1	M199701	0.80	-1.33	0.17	†	†	†	†
	9	M181801	1.41	1.14	†	†	†	†	†
	14	M178701	0.54	3.16	†	-0.01	-2.06	2.07	†
M13	1	M302401	0.87	0.08	0.16	†	†	†	†
M13	8	M301201	1.43	0.34	0.13	†	†	†	†
M14	3	M308401	1.24	0.46	0.15	†	†	†	†
† Not applicable; c parameters are not estimated for the two-parameter logistic model or generalized partial credit models, and d parameters are not estimated for two-parameter or three-parameter logistic models. NOTE: For item j, a_j represents the discriminatory power of the item, b_j represents a location parameter related to item difficulty, c_j represents the guessing parameter, and d_ji represents the category threshold parameter for category i. The c parameter value is assumed to be exactly zero and is not estimated for items scaled with the two-parameter logistic model. For item j, d_ji may not sum to zero because of rounding. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Mathematics Assessment.

Last updated 17 November 2021 (ML)

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