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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 4 Mathematics Combined National and State Assessment, by Item and Block: 2015

NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 4 Mathematics Combined National and State Assessment, by Item and Block: 2015

IRT parameters for items in the number properties and operations subscale, grade 4 mathematics combined national and state assessment, by item and block: 2015
Block	Item	NAEP ID	a_j	b_j	c_j	d_j1	d_j2	d_j3	d_j4
M3	1	M342701	0.89	-1.58	0.10	†	†	†	†
	3	M341301	0.52	-2.64	0.15	†	†	†	†
	4	M344201	0.90	-0.17	0.21	†	†	†	†
	6	M341801	0.45	1.64	†	†	†	†	†
	12	M345001	0.83	0.03	0.14	†	†	†	†
	14	M226701	1.16	1.61	0.25	†	†	†	†
M4	6	M147201	0.49	-1.75	0.22	†	†	†	†
	8	M147401	0.74	-1.14	0.05	†	†	†	†
	9	M147501	1.00	-0.72	0.12	†	†	†	†
	11	M147701	1.51	1.04	0.16	†	†	†	†
	13	M147901	1.24	0.57	0.15	†	†	†	†
	14	M148001	2.08	1.43	0.18	†	†	†	†
	15	M148101	0.48	1.71	†	-0.09	0.09	†	†
M5	1	M218501	1.60	0.50	0.08	†	†	†	†
	2	M218502	1.57	0.59	†	†	†	†	†
	3	M218503	2.08	0.19	0.13	†	†	†	†
	4	M2185CL	0.73	1.31	†	1.11	-1.55	0.44	†
	10	M219101	0.74	-0.13	0.21	†	†	†	†
	14	M219501	0.50	-0.11	†	-0.20	0.20	†	†
M6	3	M340201	0.31	-1.22	†	-6.03	6.03	†	†
	5	M340901	0.80	-0.18	0.16	†	†	†	†
	8	M339801	0.87	0.17	0.34	†	†	†	†
	10	M343201	0.55	0.49	†	0.82	-0.82	†	†
	12	M229701	0.79	1.84	0.32	†	†	†	†
	13	M343001	0.79	-0.11	†	†	†	†	†
	15	M344401	0.48	1.51	†	-6.13	6.13	†	†
M7	2	M347101	0.79	-2.04	0.11	†	†	†	†
	4	M346201	0.69	-0.76	0.21	†	†	†	†
	5	M241301	1.35	0.46	0.14	†	†	†	†
	12	M347901	0.64	0.43	†	-1.75	1.75	†	†
	15	M347601	0.44	0.88	0.14	†	†	†	†
M8	1	M240101	1.02	-0.57	0.27	†	†	†	†
	4	M229901	0.83	-1.01	0.23	†	†	†	†
	8	M230801	1.34	-0.51	0.22	†	†	†	†
	9	M240801	1.00	-0.24	†	†	†	†	†
	12	M240901	0.95	-0.18	0.17	†	†	†	†
	14	M241401	0.65	-0.16	0.12	†	†	†	†
M9	2	M225401	0.80	-0.41	0.18	†	†	†	†
	5	M228601	0.68	-0.97	0.24	†	†	†	†
	7	M225101	1.01	0.63	0.17	†	†	†	†
	8	M229301	1.77	0.34	0.19	†	†	†	†
	11	M338601	0.97	-0.06	0.16	†	†	†	†
	14	M338801	1.27	1.44	†	†	†	†	†
	15	M338901	1.20	0.41	0.26	†	†	†	†
M10	6	M220201	0.45	-2.10	0.20	†	†	†	†
	9	M220501	0.92	1.10	0.34	†	†	†	†
	11	M220701	0.30	-0.78	†	-4.54	4.54	†	†
	12	M220801	1.71	1.25	0.07	†	†	†	†
	13	M220901	2.25	1.16	0.26	†	†	†	†
	14	M221001	0.83	-0.10	0.27	†	†	†	†
M11	1	M158001	1.07	0.19	0.28	†	†	†	†
	3	M161101	0.98	-0.94	0.14	†	†	†	†
	6	M161601Z	0.89	0.30	†	†	†	†	†
	8	M159701	0.68	-1.91	0.10	†	†	†	†
	10	M155201	0.58	-1.41	0.13	†	†	†	†
	15	M162201	0.78	1.83	†	-0.54	0.54	†	†
M12	1	M223901	0.84	-1.75	0.11	†	†	†	†
	2	M339001	0.58	-1.68	0.09	†	†	†	†
	9	M224801	0.80	-1.11	0.10	†	†	†	†
	11	M339301	1.15	0.34	0.18	†	†	†	†
	13	M228501	1.18	0.58	0.21	†	†	†	†
† 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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