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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 Data Analysis, Statistics, and Probability Subscale, Grade 12 Mathematics National Assessment, by Item and Block: 2015

NAEP Technical DocumentationIRT Parameters for Items in the Data Analysis, Statistics, and Probability Subscale, Grade 12 Mathematics National Assessment, by Item and Block: 2015

IRT parameters for items in the data analysis, statistics, and probability 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	2	M188701	0.91	-0.32	0.19	†	†	†	†
	4	M182401	1.82	1.30	0.19	†	†	†	†
	12	M1867CL	0.36	-0.38	†	-0.22	1.47	-0.72	-0.53
	14	M175901	0.78	3.00	†	0.63	-0.63	†	†
M2	2	M305601	0.82	-0.42	0.19	†	†	†	†
	4	M306701	0.41	0.71	†	0.07	-0.07	†	†
	8	M304901	1.03	-0.05	0.16	†	†	†	†
	12	M301701	1.13	1.05	0.14	†	†	†	†
M3	3	M197201	0.52	-0.60	0.17	†	†	†	†
M3	13	M195401	0.14	-0.33	0.20	†	†	†	†
M4	2	M1842CL	0.78	-1.33	†	1.00	-1.00	†	†
	3	M1843CL	0.89	1.29	†	0.14	-0.14	†	†
	4	M184207	0.60	1.66	†	-0.60	0.60	†	†
	9	M179101	0.71	0.01	0.19	†	†	†	†
M5	1	M183001	1.04	-0.61	0.21	†	†	†	†
	5	M183201	0.77	0.60	0.17	†	†	†	†
	10	M188101	1.01	0.02	0.28	†	†	†	†
M6	2	M198101	0.89	-0.06	0.14	†	†	†	†
	8	M175601	0.56	-0.30	†	-1.06	1.06	†	†
	11	M177201	0.96	0.17	0.16	†	†	†	†
	12	M177202	0.94	1.13	†	†	†	†	†
M7	1	M309201	1.29	-0.45	0.18	†	†	†	†
	6	M307901	0.65	-0.79	0.19	†	†	†	†
	10	M308201	1.20	1.11	0.13	†	†	†	†
	13	M310001	0.58	0.16	†	0.49	-0.50	0.01	†
M8	5	M189301	1.43	0.19	0.25	†	†	†	†
	8	M189501	0.61	0.71	0.18	†	†	†	†
	10	M187101	1.25	0.47	0.24	†	†	†	†
	12	M178601	1.38	0.33	0.11	†	†	†	†
M9	3	M198701	0.85	0.25	†	†	†	†	†
	4	M177601	0.54	0.98	0.16	†	†	†	†
	7	M181901	0.98	0.34	0.15	†	†	†	†
	11	M193601	1.35	-0.34	0.11	†	†	†	†
M10	2	M189601	0.99	-0.21	0.18	†	†	†	†
	4	M194201	0.82	-0.26	0.16	†	†	†	†
	5	M178401	1.15	-0.24	0.12	†	†	†	†
M11	5	M181201	0.64	-0.73	†	†	†	†	†
	6	M181202	1.23	0.69	†	1.64	-1.64	†	†
	7	M181203	0.50	3.20	†	†	†	†	†
M12	4	M175301	0.94	-0.19	0.15	†	†	†	†
M12	5	M199901	0.75	0.30	0.17	†	†	†	†
M13	3	M302701	0.43	0.22	†	-6.25	6.25	†	†
	5	M304101	0.86	-0.25	0.17	†	†	†	†
	11	M304701	0.69	1.64	0.15	†	†	†	†
M14	6	M310201	1.40	1.61	0.06	†	†	†	†
	8	M310501	0.46	0.63	†	-5.35	5.35	†	†
	11	M310901	0.61	2.00	0.18	†	†	†	†
	12	M3111CL	0.80	1.97	†	0.24	1.42	-3.50	1.83
† 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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