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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Assessment IRT Parameters → IRT Parameters for the Data Analysis, Statistics, and Probability Scale, by Block and Item, Grade 8 Mathematics National Main Assessment (Accommodations Permitted [R3]): 2000

NAEP Technical DocumentationIRT parameters for the data analysis, statistics, and probability scale, by block and item, grade 8 mathematics national main assessment (accommodations permitted [R3]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	9	M093801	0.20	0.04	0.00	-5.02	4.15	0.86	†
M4	5	M017801	1.04	-0.64	0.25	†	†	†	†
	16	M018901	0.55	1.05	0.19	†	†	†	†
M5	2	M067101	0.99	-0.27	0.16	†	†	†	†
	11	M067501	0.55	1.34	0.00	0.85	-0.85	†	†
M6	6	M020201	0.54	-2.29	0.00	†	†	†	†
	10	M020801	0.91	1.56	0.00	†	†	†	†
	13	M021101	0.94	-0.01	0.00	†	†	†	†
M8	5	M012631	1.33	0.44	0.23	†	†	†	†
	9	M013031	0.97	1.43	0.00	†	†	†	†
	10	M013131	0.75	1.22	0.00	†	†	†	†
M9	5	M052701	0.90	0.44	0.14	†	†	†	†
	6	M052801	0.60	4.19	0.18	†	†	†	†
	9	M053101	0.70	1.19	0.00	0.33	0.09	-0.42	†
M11	7	M046601	1.11	-1.04	0.00	†	†	†	†
	11	M047001	1.12	-0.18	0.18	†	†	†	†
	14	M047301	1.22	-1.68	0.00	†	†	†	†
	17	M047801	1.39	0.75	0.13	†	†	†	†
M12	2	M092201	1.07	0.47	0.13	†	†	†	†
	6	M092601	0.73	1.54	0.00	-0.57	0.57	†	†
M13	3	M051401	1.06	-1.02	0.12	†	†	†	†
M14	2	M072901	0.48	-0.54	0.00	-0.68	0.68	†	†
	5	M0732CL	0.34	-0.36	0.00	1.08	-0.07	-1.01	†
	8	M073501	0.10	5.79	0.00	†	†	†	†
† Not applicable; the number of item parameters estimated depends upon the IRT model used for scaling. 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 is the category threshold parameter for category i. The c-parameter value is exactly zero for items scaled with the two-parameter logistic model or the generalized partial credit model. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2000 Mathematics Assessment.

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