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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 Algebra and Functions Scale, by Block and Item, Grade 4 Mathematics State Assessment (Accommodations Permitted [R3]): 2000

NAEP Technical DocumentationIRT parameters for the algebra and functions 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	8	M039701	0.91	1.06	0.16	†	†	†	†
M4	10	M018301	1.43	0.86	0.13	†	†	†	†
	14	M018701	1.36	1.99	0.17	†	†	†	†
M5	3	M066201	1.14	0.10	0.20	†	†	†	†
	4A	M066301	0.42	-0.27	0.00	-2.20	2.20	†	†
	6A	M066501	0.71	0.71	0.00	-0.37	0.37	†	†
	7A	M066601	0.66	0.77	0.00	0.23	-0.23	†	†
M6	1A	M019701	0.57	-0.41	0.00	†	†	†	†
	8A	M020401	0.57	0.07	0.00	†	†	†	†
M7	2	M067701	1.03	0.02	0.23	†	†	†	†
	4A	M067901	0.54	0.97	0.00	-1.88	1.88	†	†
M8	4A	M010331	0.97	0.17	0.32	†	†	†	†
M9	6	M091001	0.68	-0.48	0.13	†	†	†	†
	7A	M091101	0.40	0.04	0.00	-0.23	0.23	†	†
M12	5A	M086801	0.69	-0.33	0.21	†	†	†	†
	9A	M087201	1.05	2.06	0.24	†	†	†	†
M13	12A	M043501	0.31	1.16	0.00	0.79	0.02	-0.11	†
M14	4A	M072201	0.39	-0.54	0.00	-8.38	8.38	†	†
	5A	M072202	0.86	0.69	0.00	-0.19	0.19	†	†
	10A	M072701	0.36	1.75	0.00	0.30	-0.03	-0.27	†
M15	3	M074401	0.76	0.75	0.24	†	†	†	†
† 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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