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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 Scale, Grade 8 Mathematics Combined National and State Main Assessment, by Item and Block: 2007

NAEP Technical DocumentationIRT parameters for items in the data analysis, statistics, and probability scale, grade 8 mathematics combined national and state main assessment, by item and block: 2007

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
† Not applicable; c parameters are not estimated for 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 exactly zero 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), 2007 Mathematics Assessment.
M3	2	M149901	0.60	0.06	†	0.82	-0.82	†	†
	7	M150401	0.66	-0.33	0.21	†	†	†	†
	10	M150701	0.88	0.23	0.12	†	†	†	†
M4	6	M151801	0.53	-1.27	0.14	†	†	†	†
	11	M152301	0.39	2.11	0.12	†	†	†	†
M5	9	M047001	0.88	-0.93	0.10	†	†	†	†
	18	M053101	0.60	1.38	†	0.20	0.26	-0.46	†
M6	4	M140701	0.64	0.03	0.14	†	†	†	†
	13	M141601	0.97	0.68	†	†	†	†	†
M7	2	M143701	0.55	-1.80	0.12	†	†	†	†
	13	M144801	0.84	-0.23	0.14	†	†	†	†
M8	4	M0732CL	0.45	-1.21	†	1.76	0.48	-0.77	-1.47
	8	M092201	0.97	0.11	0.09	†	†	†	†
	13	M092601	0.75	1.53	†	-0.49	0.49	†	†
M9	3	M013131	0.63	0.85	†	†	†	†	†
	8	M073501	0.16	3.89	†	†	†	†	†
	11	M072901	0.54	-0.75	†	-0.41	0.41	†	†
	18	M093801	0.27	0.09	†	-3.27	2.54	0.73	†
M10	10	M142901	0.92	0.66	0.12	†	†	†	†
	11	M143001	0.46	-0.07	0.10	†	†	†	†
M11	10	M106601	0.72	-1.28	0.12	†	†	†	†
	14	M107001	1.08	0.45	0.35	†	†	†	†
	16	M107201	1.32	1.91	0.12	†	†	†	†
M12	6	M153201	0.37	-1.19	†	-1.05	1.05	†	†
	16	M154201	0.55	2.56	0.20	†	†	†	†

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