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

NAEP Technical DocumentationIRT parameters for the algebra and functions 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	4	M056101	1.00	0.61	0.26	†	†	†	†
	5	M056201	1.22	0.81	0.31	†	†	†	†
	6	M056301	1.20	-0.07	0.07	†	†	†	†
	7	M056401	0.79	0.20	0.18	†	†	†	†
	12	M056901	1.63	1.45	0.00	†	†	†	†
M4	10	M018301	0.90	-1.26	0.15	†	†	†	†
	14	M018701	1.13	-0.95	0.16	†	†	†	†
	15	M018801	1.01	-0.79	0.17	†	†	†	†
	20	M019301	1.56	-0.03	0.14	†	†	†	†
	21	M019401	1.74	1.68	0.24	†	†	†	†
	22	M019501	1.04	1.54	0.08	†	†	†	†
M5	0	M0707CL	0.60	-0.28	0.00	0.80	-0.30	-0.50	†
	6	M071001	0.71	1.05	0.00	-0.47	0.47	†	†
M6	4	M021601	1.25	2.32	0.00	†	†	†	†
	5	M021602	1.59	1.51	0.00	†	†	†	†
	8	M020401	0.65	-0.81	0.00	†	†	†	†
	14	M021201	0.62	-0.85	0.00	†	†	†	†
	16	M021702	0.68	-0.23	0.00	†	†	†	†
M7	9	M0717CL	0.61	1.80	0.00	-0.84	-0.36	1.20	†
M8	1	M012231	0.69	-2.82	0.20	†	†	†	†
	11	M013231	0.92	0.60	0.13	†	†	†	†
	14	M011431	1.37	0.70	0.25	†	†	†	†
	18	M011831	1.81	1.63	0.22	†	†	†	†
	20	M012031	1.12	0.85	0.00	†	†	†	†
	21	M012131	1.29	1.54	0.17	†	†	†	†
M9	3	M052501	0.85	-0.01	0.20	†	†	†	†
	7	M053201	1.13	0.75	0.25	†	†	†	†
M10	9	M094701	0.43	0.90	0.00	1.69	-0.85	-0.12	-0.73
M11	8	M059301	1.40	0.78	0.18	†	†	†	†
	9	M059401	2.05	0.91	0.19	†	†	†	†
	10	M059501	1.48	2.03	0.38	†	†	†	†
M12	1	M092101	0.92	0.36	0.21	†	†	†	†
	5	M092501	0.36	1.04	0.24	†	†	†	†
	7	M092701	0.99	0.23	0.15	†	†	†	†
M13	7	M095201	1.02	1.31	0.17	†	†	†	†
	9	M095401	0.34	0.25	0.00	-1.74	1.74	†	†
M14	10	M074101	0.43	1.75	0.00	-1.52	0.42	1.10	†
M15	4	M076401	1.70	1.43	0.26	†	†	†	†
	5	M076501	0.80	1.99	0.19	†	†	†	†
	6	M076601	1.12	0.95	0.00	-0.53	0.53	†	†
	10	M077001	0.48	1.07	0.00	†	†	†	†
† 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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