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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 Measurement Scale, by Block and Item, Grade 4 Mathematics National Main Assessment (Accommodations Permitted [R3]): 2000

NAEP Technical DocumentationIRT Parameters for the Measurement Scale, by Block and Item, Grade 4 Mathematics National Main Assessment (Accommodations Permitted [R3]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	4	M039301	0.78	0.62	0.00	†	†	†	†
	5	M039401	0.72	-0.28	0.16	†	†	†	†
	6	M039501	0.95	-0.26	0.13	†	†	†	†
	7	M039601	0.71	0.55	0.11	†	†	†	†
M4	2	M017501	0.68	-1.14	0.15	†	†	†	†
	8	M018101	1.00	0.65	0.19	†	†	†	†
M5	1	M066001	0.80	1.21	0.21	†	†	†	†
M6	7	M020301	1.00	1.08	0.00	†	†	†	†
M7	1	M067601	0.69	1.05	0.10	†	†	†	†
M8	8	M010731	1.07	0.62	0.22	†	†	†	†
	10	M010931	2.00	1.20	0.29	†	†	†	†
M9	1	M090501	1.08	-0.29	0.20	†	†	†	†
	5	M090901	0.62	0.54	0.23	†	†	†	†
	8	M091201	0.58	0.52	0.00	-0.33	0.33	†	†
	9	M091301	0.55	2.11	0.15	†	†	†	†
M10	2	M085601	0.47	2.30	0.19	†	†	†	†
M11	12	M047101	1.41	1.82	0.19	†	†	†	†
	13	M047201	0.85	0.83	0.19	†	†	†	†
M12	1	M086401	0.26	1.23	0.22	†	†	†	†
	6	M086901	0.56	0.60	0.21	†	†	†	†
M13	2	M042701	1.35	-1.29	0.12	†	†	†	†
	3	M042801	0.92	-1.54	0.14	†	†	†	†
M14	3	M072101	0.83	-1.81	0.17	†	†	†	†
M15	1	M074201	1.05	-0.03	0.08	†	†	†	†
	2	M074301	0.86	-0.18	0.00	†	†	†	†
	7	M074801	0.66	0.30	0.00	0.07	-0.07	†	†
† 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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