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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 8 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 8 Mathematics Combined National and State Assessment, by Block and Item: 2017

IRT parameters for items in the number properties and operations subscale, grade 8 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	3	M381901	0.81	-1.01	†	†	†	†	†
M1	7	M384701	0.76	0.52	0.19	†	†	†	†
M2	1	M385401	1.07	0.11	0.19	†	†	†	†
	4	M3840CL	0.50	-0.12	†	1.37	-1.51	0.48	-0.34
	15	M379901	0.78	1.57	†	†	†	†	†
M3	1	M380701	1.38	-0.27	0.15	†	†	†	†
M3	3	M383401	0.74	0.11	†	†	†	†	†
M4	1	M351601	0.87	0.23	0.11	†	†	†	†
	3	M353201	0.77	0.29	0.11	†	†	†	†
	10	M352001	0.80	0.50	0.05	†	†	†	†
	12	M232101	0.79	1.32	†	†	†	†	†
	15	M222301	0.77	0.65	†	1.26	-1.26	†	†
M5	1	M222401	0.66	-1.33	0.07	†	†	†	†
	12	M223501	0.61	-0.87	0.15	†	†	†	†
	16	M348601	1.07	0.82	0.04	†	†	†	†
	18	M236001	1.19	0.20	0.13	†	†	†	†
M6	1	M163101	0.55	-0.06	†	-1.49	1.49	†	†
	3	M122701	0.45	-0.04	0.18	†	†	†	†
	4	M119601	0.47	-0.04	0.07	†	†	†	†
	7	M169201	1.35	-0.14	0.19	†	†	†	†
	17	M237801	0.84	0.25	0.11	†	†	†	†
	20	M350501	1.00	1.21	0.23	†	†	†	†
M7	1	M232901	0.98	-1.70	0.11	†	†	†	†
	5	D2335MS	0.84	0.01	†	†	†	†	†
	9	M231901	1.42	0.35	0.17	†	†	†	†
	15	M152001	1.07	0.92	0.08	†	†	†	†
	17	M221701	0.39	0.26	†	†	†	†	†
M8	8	M3881MS	0.47	2.07	†	†	†	†	†
M8	11	M3875MS	0.63	1.29	†	-0.74	0.74	†	†
M9	3	M356201	0.83	0.38	0.16	†	†	†	†
	4	D2357MS	0.78	-1.44	†	†	†	†	†
	10	M357201	1.04	-0.63	0.11	†	†	†	†
	12	M3566CL	0.85	0.29	†	0.15	-0.15	†	†
	16	M221401	1.11	1.00	0.22	†	†	†	†
M10	1	M238701	1.14	-0.33	0.12	†	†	†	†
	6	M236601	1.28	-0.34	0.25	†	†	†	†
	10	M238101	0.94	-0.05	0.25	†	†	†	†
	12	M234702	0.97	0.12	†	0.05	-0.05	†	†
	16	M234501	1.21	-0.22	0.06	†	†	†	†
† 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, aj represents the discriminatory power of the item, bj represents a location parameter related to item difficulty, cj represents the guessing parameter, and dji 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, dji 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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