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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 Number Sense, Properties, and Operations Scale, by Block and Item, Grade 4 Mathematics State Assessment (Accommodations Not Permitted [R2]): 2000

NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations scale, by block and item, grade 4 mathematics state assessment (accommodations not permitted [R2]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3
M3	1	M039001	0.76	-1.55	0.14	†	†	†
	3A	M039201	0.82	-0.24	0.00	†	†	†
	10	M039901	0.81	1.72	0.13	†	†	†
	13A	M040201	0.94	1.45	0.00	†	†	†
M4	1	M017401	0.39	-2.90	0.16	†	†	†
	4	M017701	1.03	0.52	0.18	†	†	†
	6	M017901	1.22	0.52	0.10	†	†	†
	9	M018201	1.04	1.17	0.12	†	†	†
	11	M018401	1.33	0.77	0.22	†	†	†
	12	M018501	2.67	2.07	0.25	†	†	†
	13	M018601	0.93	2.21	0.16	†	†	†
M5	2	M066101	0.71	-1.10	0.07	†	†	†
	5	M066401	0.72	1.46	0.16	†	†	†
	8A	M066701	0.65	-0.23	0.00	-0.33	0.33	†
	9A	M066801	0.46	-0.01	0.00	-2.63	2.63	†
M6	4A	M020001	1.09	-0.31	0.00	†	†	†
	5A	M020101	1.03	1.13	0.00	†	†	†
	9A	M020501	0.72	0.97	0.00	†	†	†
	10A	N277903	0.52	-1.69	0.00	†	†	†
M7	3	M067801	1.32	1.00	0.16	†	†	†
	5A	M068001	0.70	0.67	0.00	†	†	†
	6A	M068002	0.64	0.53	0.00	-0.05	0.05	†
M8	2A	M010131	0.33	-2.94	0.19	†	†	†
	3A	M010231	0.54	-1.00	0.13	†	†	†
	5A	M010431	0.66	0.02	0.16	†	†	†
	6A	M010531	0.44	1.55	0.09	†	†	†
	7A	M010631	0.27	-2.15	0.00	†	†	†
	9A	M010831	1.01	0.06	0.13	†	†	†
	12A	N202831	0.79	-0.58	0.27	†	†	†
	13A	M011131	0.83	0.13	0.22	†	†	†
	14A	N240031	1.37	0.32	0.11	†	†	†
M9	2	M090601	0.74	-0.46	0.25	†	†	†
	3	M090701	0.87	-0.70	0.18	†	†	†
	4	M090801	0.65	-0.40	0.08	†	†	†
M11	1A	M046001	0.57	-1.11	0.00	†	†	†
	4	M046301	1.09	0.65	0.21	†	†	†
	6	M046501	0.75	1.19	0.29	†	†	†
	9A	M046801	1.11	0.60	0.00	†	†	†
	10A	M046901	0.94	0.25	0.00	†	†	†
	16	M047501	0.50	-0.88	0.17	†	†	†
M12	3A	M086601	0.51	-0.75	0.00	-0.63	0.63	†
	4A	M086701	1.34	-0.28	0.22	†	†	†
	7A	M087001	0.62	0.36	0.00	-0.09	0.09	†
	8A	M087101	0.72	1.55	0.24	†	†	†
	10A	M087301	0.66	1.59	0.00	0.42	-1.24	0.39
M13	1	M042601	0.88	-0.62	0.19	†	†	†
	4	M042901	0.58	0.75	0.19	†	†	†
	5	M043001	0.82	-0.67	0.36	†	†	†
	8A	M043301	0.69	0.78	0.00	†	†	†
M14	1A	M071901	0.68	-0.16	0.14	†	†	†
	2A	M072001	0.70	0.01	0.25	†	†	†
	7A	M072401	0.68	0.50	0.00	0.18	-0.18	†
	8A	M072501	0.76	1.38	0.00	0.02	-0.02	†
	9A	M072601	0.51	1.51	0.00	-1.21	1.21	†
M15	5	M074601	0.93	0.87	0.33	†	†	†
	6A	M074701	0.83	-0.53	0.00	†	†	†
	9A	M075001	0.70	1.21	0.00	-1.13	1.13	†
	10A	M075101	0.53	0.45	0.00	1.99	-0.54	-1.09
† 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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