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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 State Assessment (Accommodations Permitted [R3]): 2000

NAEP Technical DocumentationIRT parameters for the measurement scale, by block and item, grade 4 mathematics state assessment (accommodations permitted [R3]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	2	M039101	0.48	-1.33	0.16	†	†	†	†
	4A	M039301	0.79	0.70	0.00	†	†	†	†
	5	M039401	0.77	-0.02	0.24	†	†	†	†
	6	M039501	0.88	-0.19	0.10	†	†	†	†
	7	M039601	0.67	0.59	0.11	†	†	†	†
M4	2	M017501	0.64	-1.22	0.14	†	†	†	†
	8	M018101	1.04	0.79	0.18	†	†	†	†
M5	1	M066001	0.93	1.24	0.20	†	†	†	†
M6	7A	M020301	1.04	1.14	0.00	†	†	†	†
M7	1	M067601	0.71	1.23	0.12	†	†	†	†
M8	8A	M010731	1.17	0.77	0.27	†	†	†	†
	10A	M010931	1.23	1.17	0.23	†	†	†	†
M9	1	M090501	0.95	-0.20	0.20	†	†	†	†
	5	M090901	0.72	1.02	0.33	†	†	†	†
	8A	M091201	0.67	0.61	0.00	-0.19	0.19	†	†
	9	M091301	0.95	1.64	0.16	†	†	†	†
M10	2	M085601	0.85	2.34	0.27	†	†	†	†
M11	12	M047101	1.72	1.64	0.18	†	†	†	†
	13	M047201	0.94	0.87	0.17	†	†	†	†
M12	1A	M086401	0.32	1.19	0.24	†	†	†	†
	6A	M086901	0.66	0.86	0.28	†	†	†	†
M13	2	M042701	1.00	-1.33	0.11	†	†	†	†
	3	M042801	0.88	-1.52	0.15	†	†	†	†
M14	3A	M072101	0.89	-1.42	0.20	†	†	†	†
M15	1	M074201	1.10	0.08	0.12	†	†	†	†
	2A	M074301	0.88	-0.11	0.00	†	†	†	†
	7A	M074801	0.64	0.42	0.00	0.14	-0.14	†	†
† 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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