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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 12 Mathematics National Main Assessment (Accommodations Permitted [R3]): 2000

NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations scale, by block and item, grade 12 mathematics national main assessment (accommodations permitted [R3]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	8	M056501	1.72	1.27	0.24	†	†	†	†
	9	M056601	0.88	0.78	0.08	†	†	†	†
	10	M056801	1.59	0.91	0.00	†	†	†	†
	14	M057101	2.34	1.92	0.00	†	†	†	†
M4	1	M017401	0.30	-4.66	0.21	†	†	†	†
	4	M017701	0.89	-1.70	0.15	†	†	†	†
	6	M017901	1.27	-1.53	0.21	†	†	†	†
	9	M018201	0.60	-1.63	0.16	†	†	†	†
	11	M018401	1.32	-1.38	0.21	†	†	†	†
	12	M018501	1.57	-0.10	0.28	†	†	†	†
	13	M018601	0.49	0.41	0.09	†	†	†	†
M5	8	M071201	0.43	0.88	0.00	-1.26	1.26	†	†
	10	M071401	0.52	1.71	0.00	-1.12	1.12	†	†
M6	1	M021401	1.00	-0.13	0.00	†	†	†	†
	9	M020501	0.89	-1.03	0.00	†	†	†	†
	15	M021701	1.18	0.39	0.00	†	†	†	†
M7	3	M071503	0.97	0.32	0.22	†	†	†	†
M8	3	M012431	0.58	-2.12	0.14	†	†	†	†
	4	M012531	0.70	-0.28	0.16	†	†	†	†
	8	M012931	1.30	0.32	0.24	†	†	†	†
	12	N202831	0.82	-2.10	0.21	†	†	†	†
	15	M011531	2.17	1.00	0.08	†	†	†	†
M9	2	M052401	0.53	-0.02	0.00	†	†	†	†
M10	7	M094501	0.90	0.22	0.15	†	†	†	†
M11	2	M058601	1.05	-0.48	0.08	†	†	†	†
	5	M059001	0.75	0.14	0.08	†	†	†	†
	7	M059201	0.75	-1.04	0.16	†	†	†	†
	11	M059601	1.68	1.09	0.11	†	†	†	†
M13	4	M094901	1.26	-0.35	0.13	†	†	†	†
	5	M095001	0.73	-0.23	0.00	-0.32	0.32	†	†
M14	1	M073701	0.98	0.03	0.24	†	†	†	†
	3	M073001	0.97	-1.05	0.21	†	†	†	†
	4	M073101	0.75	0.52	0.33	†	†	†	†
	7	M073401	0.72	0.70	0.00	-0.08	0.08	†	†
	9	M074001	0.96	0.45	0.00	0.46	-0.46	†	†
M15	1	M076101	0.48	-1.91	0.00	0.93	-0.93	†	†
	2	M076201	0.52	-0.36	0.15	†	†	†	†
† 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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