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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 National Main Assessment (Accommodations Not Permitted [R2]): 2000

NAEP Technical DocumentationIRT parameters for the algebra and functions scale, by block and item, grade 4 mathematics national main assessment (accommodations not permitted [R2]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	8	M039701	1.35	1.07	0.22	†	†	†	†
M4	10	M018301	1.42	0.82	0.14	†	†	†	†
	14	M018701	1.27	2.11	0.18	†	†	†	†
M5	3	M066201	1.58	0.25	0.30	†	†	†	†
	4	M066301	0.42	-0.25	0.00	-2.32	2.32	†	†
	6	M066501	0.67	0.77	0.00	-0.33	0.33	†	†
	7	M066601	0.63	0.80	0.00	0.11	-0.11	†	†
M6	1	M019701	0.54	-0.54	0.00	†	†	†	†
	8	M020401	0.58	0.04	0.00	†	†	†	†
M7	2	M067701	1.01	-0.02	0.25	†	†	†	†
	4	M067901	0.68	0.89	0.00	-1.44	1.44	†	†
M8	4	M010331	1.02	0.31	0.37	†	†	†	†
M9	6	M091001	0.73	-0.48	0.22	†	†	†	†
	7	M091101	0.39	-0.11	0.00	-0.24	0.24	†	†
M12	5	M086801	0.87	-0.34	0.21	†	†	†	†
	9	M087201	0.64	2.13	0.21	†	†	†	†
M13	12	M043501	0.31	1.06	0.00	0.90	-0.24	0.05	-0.70
M14	4	M072201	0.40	-0.64	0.00	-6.20	6.20	†	†
	5	M072202	0.80	0.65	0.00	-0.19	0.19	†	†
	10	M072701	0.36	1.70	0.00	0.23	0.13	-0.36	†
M15	3	M074401	1.01	0.71	0.28	†	†	†	†
† 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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