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 Assessments, By Item and Block: 2011

NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations scale, grade 8 mathematics combined national and state assessments, by item and block: 2011

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), 2011 Mathematics Assessment.
MC	5	M150201	0.87	0.67	0.13	†	†	†	†
MD	8	M152001	1.36	0.91	0.09	†	†	†	†
ME	6	M221401	0.85	1.35	0.19	†	†	†	†
	9	M221701	0.40	-0.19	†	†	†	†	†
	15	M222301	0.63	0.52	†	1.25	-1.25	†	†
MF	8	M141101	0.79	-0.97	0.04	†	†	†	†
	10	M141301	0.59	0.81	†	-1.03	1.03	†	†
	15	M141801	0.95	0.75	0.15	†	†	†	†
MG	2	M120701	0.54	-2.07	0.11	†	†	†	†
	8	M166101	1.51	1.39	0.17	†	†	†	†
	13	M164801	0.98	0.84	0.23	†	†	†	†
	16	M1685CL	0.71	1.41	†	0.74	0.51	-0.82	-0.44
MH	1	M170301	0.92	-0.21	0.23	†	†	†	†
	8	M122501	1.19	0.84	0.19	†	†	†	†
	9	M166301	0.53	-0.52	†	-1.96	1.96	†	†
MI	1	M119301	0.96	-1.03	0.13	†	†	†	†
	4	M119101	1.25	-0.34	0.19	†	†	†	†
	8	M165501	0.67	-0.79	†	0.14	-0.14	†	†
MJ	1	M222401	0.66	-1.64	0.10	†	†	†	†
	7	M223001	0.90	-0.11	0.05	†	†	†	†
	12	M223501	0.72	-0.45	0.26	†	†	†	†
MK	1	M163101	0.79	-0.42	†	0.61	-0.61	†	†
	3	M122701	0.52	-0.32	0.09	†	†	†	†
	4	M119601	0.48	-0.49	0.04	†	†	†	†
	7	M169201	1.33	-0.13	0.27	†	†	†	†
ML	3	M152901	1.27	0.33	0.13	†	†	†	†
	13	M153901	0.56	0.64	†	-0.05	0.05	†	†

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