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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → Item Response Theory Parameters → Mathematics Assessment Item Response Theory Parameters → IRT Parameters for Items in the Algebra and Functions Scale, by Block and Item, Grade 12 Mathematics National Main Assessment: 2005

NAEP Technical DocumentationIRT parameters for items in the algebra and functions scale, by block and item, grade 12 mathematics national main assessment: 2005

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	5	M055901	0.35	-2.44	0.19	†	†	†	†
	12	M095201	1.42	1.09	0.15	†	†	†	†
	15	M011831	1.35	1.62	0.20	†	†	†	†
	16	M076601	0.94	0.86	†	-0.73	0.73	†	†
	17	M095401	0.38	-0.12	†	-1.09	1.09	†	†
M4	10	M092701	0.80	-0.09	0.23	†	†	†	†
	11	M053201	1.18	0.57	0.23	†	†	†	†
	16	M019401	1.48	1.66	0.24	†	†	†	†
	17	M019501	1.93	1.60	0.11	†	†	†	†
M5	13	M056101	1.10	0.63	0.24	†	†	†	†
	17	M0717CL	2.01	1.80	0.00	†	†	†	†
	19	M094701	0.41	0.65	†	1.71	-0.96	-0.15	-0.60
M6	8	M131501	1.86	1.56	0.04	†	†	†	†
	11	M056301	1.04	-0.07	0.11	†	†	†	†
	12	M128501	1.76	1.41	0.18	†	†	†	†
	14	M130401	1.02	0.90	0.16	†	†	†	†
	16	M071001	0.97	1.24	†	-0.05	0.05	†	†
M7	4	M130801	0.83	-0.28	0.14	†	†	†	†
	7	M129501	0.92	0.74	0.18	†	†	†	†
	11	M134901	0.89	0.26	0.18	†	†	†	†
	13	M133301	0.86	0.45	0.14	†	†	†	†
	14	M134701	2.31	1.39	0.18	†	†	†	†
	15	M129601	0.89	0.62	0.18	†	†	†	†
	18	M074101	0.47	0.93	†	-0.43	-0.14	0.57	†
M8	10	M052501	0.72	-0.09	0.23	†	†	†	†
	17	M021601	2.82	2.09	0.00	†	†	†	†
	18	M021602	1.78	1.72	0.00	†	†	†	†
M9	4	M0707CL	0.64	-0.45	†	0.86	-0.37	-0.48	†
	14	M076401	1.36	1.31	0.30	†	†	†	†
	16	M012031	0.95	0.73	0.00	†	†	†	†
	17	M076501	0.77	1.72	0.15	†	†	†	†
	19	M057101	2.42	1.97	0.00	†	†	†	†
M10	5	M021701	1.40	0.13	0.00	†	†	†	†
	6	M021702	1.00	-0.31	0.00	†	†	†	†
	7	M092101	0.81	0.33	0.18	†	†	†	†
	8	M056401	0.84	0.24	0.26	†	†	†	†
	9	M011431	1.22	0.25	0.19	†	†	†	†
	10	M059401	1.75	0.98	0.23	†	†	†	†
	13	M056201	0.94	0.54	0.25	†	†	†	†
	14	M011531	2.19	1.01	0.09	†	†	†	†
	15	M059301	1.21	0.81	0.17	†	†	†	†
	18	M053401	0.22	1.12	†	2.25	-1.77	1.01	-1.49
M11	4	M127701	1.00	-0.59	0.17	†	†	†	†
	8	M126101	0.59	0.19	0.23	†	†	†	†
	11	M128701	1.24	1.25	0.23	†	†	†	†
	13	M131201	1.15	1.36	0.00	†	†	†	†
	15	M132301	1.66	1.01	0.10	†	†	†	†
	17	M128901	1.48	1.69	0.26	†	†	†	†
M12	5	M127501	0.90	0.45	0.15	†	†	†	†
	6	M133101	1.00	0.87	0.21	†	†	†	†
	11	M127101	1.29	0.82	0.27	†	†	†	†
	12	M133801	0.51	0.82	†	-1.28	1.28	†	†
	14	M127001	1.25	1.04	0.14	†	†	†	†
	17	M130101	2.46	1.24	0.15	†	†	†	†
† Not applicable; c parameters are not estimated for generalized partial credit models. 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. For item j, dji may not sum to zero because of rounding. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2005 Mathematics Assessment.

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