NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → IRT Parameters for the Mathematics Assessments → IRT Parameters for Items in the Number Sense, Properties, and Operations Scale, Grade 8 Mathematics Combined National and State Main Assessment, by Item and Block: 2009

NAEP Technical DocumentationIRT parameters for items in the number sense, properties, and operations scale, grade 8 mathematics combined national and state main assessment, by item and block: 2009

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), 2009 Mathematics Assessment.
M3	5	M150201	0.95	0.68	0.14	†	†	†	†
M4	8	M152001	1.54	0.93	0.10	†	†	†	†
M5	7	M020001	0.65	-0.66	†	†	†	†	†
	8	M046301	0.89	-1.27	0.20	†	†	†	†
	10	M046501	0.77	-0.56	0.29	†	†	†	†
	16	M051501	0.83	1.19	0.18	†	†	†	†
	13	M066301	0.33	-1.78	†	-2.88	2.88	†	†
	14	M067901	0.72	-0.79	†	-1.31	1.31	†	†
M6	8	M141101	0.83	-0.87	0.05	†	†	†	†
	10	M141301	0.60	0.81	†	-1.07	1.07	†	†
	15	M141801	1.12	0.79	0.17	†	†	†	†
M7	2	M120701	0.56	-1.96	0.16	†	†	†	†
	13	M164801	1.05	0.87	0.24	†	†	†	†
	8	M166101	1.73	1.32	0.17	†	†	†	†
	16	M1685CL	0.71	1.39	†	0.69	0.47	-0.92	-0.24
M8	8	M122501	1.40	0.87	0.19	†	†	†	†
	9	M166301	0.53	-0.48	†	-2.12	2.12	†	†
	1	M170301	1.02	-0.10	0.27	†	†	†	†
M9	4	M119101	1.29	-0.25	0.21	†	†	†	†
	1	M119301	0.97	-0.88	0.19	†	†	†	†
	8	M165501	0.67	-0.77	†	0.13	-0.13	†	†
M10	4	M142301	0.88	-0.13	0.30	†	†	†	†
	5	M142401	0.75	-0.63	0.19	†	†	†	†
	13	M143201	0.93	0.04	†	†	†	†	†
M11	4	M119601	0.48	-0.31	0.08	†	†	†	†
	3	M122701	0.56	-0.15	0.13	†	†	†	†
	1	M163101	0.81	-0.39	†	0.60	-0.60	†	†
	7	M169201	1.53	0.01	0.32	†	†	†	†
M12	3	M152901	1.26	0.37	0.16	†	†	†	†
	13	M153901	0.56	0.65	†	-0.01	0.01	†	†

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