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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 Block and Item: 2017

NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 4 Mathematics Combined National and State Assessment, by Block and Item: 2017

IRT parameters for items in the number properties and operations subscale, grade 4 mathematics combined national and state assessment, by block and item: 2017
Block	Item	NAEP ID	a_j	b_j	c_j	d_j1	d_j2	d_j3	d_j4
M1	1	M3723MS	0.41	-0.47	†	†	†	†	†
	4	M367801	0.93	0.30	†	†	†	†	†
	6	M3714MS	0.89	0.35	†	-0.11	0.11	†	†
	8	M374400	0.72	0.44	†	0.81	-0.81	†	†
	13	M3685MS	1.22	1.58	†	†	†	†	†
M2	2	M3693MS	0.76	0.69	†	†	†	†	†
	5	M370701	0.67	-0.43	†	†	†	†	†
	8	M372601	0.85	0.17	†	1.07	-1.07	†	†
	11	M373101	0.59	1.04	†	-3.15	3.15	†	†
	13	M369801	0.99	1.71	†	†	†	†	†
	16	M3718CL	0.73	1.82	†	0.46	-0.68	-0.92	1.14
M3	3	M3690MS	0.86	-1.35	†	†	†	†	†
	5	M370401	0.70	-0.46	†	†	†	†	†
	8	M3738MS	0.95	1.49	†	†	†	†	†
	11	M3728MS	0.79	0.90	†	0.42	-0.42	†	†
M4	3	M147401	0.86	-0.64	0.10	†	†	†	†
	5	M340901	0.79	0.19	0.17	†	†	†	†
	8	M219101	1.01	0.23	0.26	†	†	†	†
	10	M343201	0.59	0.87	†	0.79	-0.79	†	†
	12	M229701	0.72	1.60	0.24	†	†	†	†
	13	M343001	0.96	0.13	†	†	†	†	†
	15	D3444MS	0.45	1.56	†	-6.30	6.30	†	†
	20	M147701	1.70	1.28	0.19	†	†	†	†
M5	2	M225401	0.91	0.05	0.22	†	†	†	†
	5	M228601	0.84	-0.70	0.30	†	†	†	†
	7	M225101	1.06	0.80	0.16	†	†	†	†
	8	M229301	1.83	0.35	0.15	†	†	†	†
	11	M338601	0.93	0.15	0.15	†	†	†	†
	14	M338801	1.26	1.50	†	†	†	†	†
	16	M338901	1.03	0.43	0.25	†	†	†	†
	19	M147901	1.23	0.75	0.16	†	†	†	†
M6	6	M220201	0.56	-1.53	0.28	†	†	†	†
	8	M220501	1.01	1.23	0.32	†	†	†	†
	9	M219501	0.51	0.27	†	-0.43	0.43	†	†
	11	M220701	0.27	-0.40	†	-4.64	4.64	†	†
	12	M220801	1.80	1.27	0.06	†	†	†	†
	13	M220901	1.68	1.21	0.28	†	†	†	†
	16	M221001	1.04	0.15	0.26	†	†	†	†
	20	M344201	0.93	0.19	0.18	†	†	†	†
M7	1	M158001	1.06	0.21	0.24	†	†	†	†
	3	M161101	0.86	-0.91	0.15	†	†	†	†
	6	D1616MS	0.91	0.51	†	†	†	†	†
	8	M159701	0.87	-1.36	0.15	†	†	†	†
	10	M155201	0.76	-0.72	0.32	†	†	†	†
	15	M226701	1.56	1.74	0.27	†	†	†	†
	17	M148001	1.91	1.41	0.18	†	†	†	†
M8	2	M375101	0.73	0.87	†	†	†	†	†
	8	M375401	0.44	0.44	†	†	†	†	†
	10	M376101	0.56	1.10	†	0.89	-0.89	†	†
	12	M3785MS	0.61	1.53	†	0.57	-0.57	†	†
	15	M377101	2.98	1.91	0.16	†	†	†	†
M9	2	M347101	0.91	-1.58	0.12	†	†	†	†
	4	M346201	0.76	-0.69	0.15	†	†	†	†
	5	M241301	1.72	0.61	0.20	†	†	†	†
	12	D3479MS	0.75	0.74	†	-0.43	0.43	†	†
	15	M347601	0.48	1.04	0.13	†	†	†	†
	18	M241401	0.71	0.30	0.15	†	†	†	†
	20	M230801	1.69	-0.06	0.31	†	†	†	†
M10	1	M223901	0.84	-1.49	0.11	†	†	†	†
	2	M339001	0.60	-1.24	0.14	†	†	†	†
	7	M240801	1.01	0.11	†	†	†	†	†
	9	M224801	0.87	-0.57	0.10	†	†	†	†
	11	M339301	1.30	0.46	0.19	†	†	†	†
	12	M228501	1.22	0.57	0.21	†	†	†	†
	16	M240901	1.07	0.22	0.22	†	†	†	†
	20	M147501	1.15	-0.47	0.23	†	†	†	†
† 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), 2017 Mathematics Assessment.

Last updated 11 May 2022 (SK)

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