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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 Not Permitted [R2]): 2000

NAEP Technical DocumentationIRT parameters for the algebra and functions scale, by block and item, grade 12 mathematics national main assessment (accommodations not permitted [R2]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	4	M056101	1.07	0.57	0.27	†	†	†	†
	5	M056201	1.07	0.73	0.27	†	†	†	†
	6	M056301	1.11	-0.11	0.06	†	†	†	†
	7	M056401	0.77	0.06	0.15	†	†	†	†
	12	M056901	1.49	1.48	0.00	†	†	†	†
M4	10	M018301	0.82	-1.41	0.13	†	†	†	†
	14	M018701	1.13	-1.06	0.12	†	†	†	†
	15	M018801	0.95	-0.89	0.15	†	†	†	†
	20	M019301	1.73	0.07	0.22	†	†	†	†
	21	M019401	1.59	1.68	0.25	†	†	†	†
	22	M019501	1.19	1.50	0.08	†	†	†	†
M5	0	M0707CL	0.64	-0.29	0.00	0.81	-0.25	-0.56	†
	6	M071001	0.72	1.06	0.00	-0.40	0.40	†	†
M6	4	M021601	1.31	2.27	0.00	†	†	†	†
	5	M021602	1.56	1.56	0.00	†	†	†	†
	8	M020401	0.66	-0.83	0.00	†	†	†	†
	14	M021201	0.62	-0.85	0.00	†	†	†	†
	16	M021702	0.76	-0.20	0.00	†	†	†	†
M7	9	M0717CL	0.63	1.78	0.00	-0.95	-0.24	1.19	†
M8	1	M012231	0.57	-3.35	0.19	†	†	†	†
	11	M013231	0.85	0.57	0.14	†	†	†	†
	14	M011431	1.30	0.61	0.23	†	†	†	†
	18	M011831	1.30	1.64	0.20	†	†	†	†
	20	M012031	1.01	0.90	0.00	†	†	†	†
	21	M012131	1.50	1.57	0.17	†	†	†	†
M9	3	M052501	0.96	-0.09	0.19	†	†	†	†
	7	M053201	1.06	0.69	0.22	†	†	†	†
M10	9	M094701	0.42	0.88	0.00	1.69	-0.85	-0.12	-0.73
M11	8	M059301	1.22	0.65	0.16	†	†	†	†
	9	M059401	2.25	0.88	0.20	†	†	†	†
	10	M059501	0.95	2.00	0.36	†	†	†	†
M12	1	M092101	0.83	0.26	0.18	†	†	†	†
	5	M092501	0.34	0.98	0.23	†	†	†	†
	7	M092701	0.96	0.19	0.15	†	†	†	†
M13	7	M095201	0.97	1.22	0.15	†	†	†	†
	9	M095401	0.32	0.20	0.00	-1.97	1.97	†	†
M14	10	M074101	0.46	1.70	0.00	-1.29	0.24	1.05	†
M15	4	M076401	1.22	1.57	0.24	†	†	†	†
	5	M076501	0.68	2.02	0.16	†	†	†	†
	6	M076601	1.06	0.89	0.00	-0.56	0.56	†	†
	10	M077001	0.45	1.11	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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