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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment Item Response Theory Parameters → Mathematics Assessment Item Response Theory Parameters → IRT Parameters for the Data Analysis, Statistics, and Probability Scale, by Block and Item, Grade 8 Mathematics Combined National and State Main Assessment: 2003

NAEP Technical DocumentationIRT parameters for items in the data analysis, statistics, and probability scale, by block and item, grade 8 mathematics combined national and state main assessment: 2003

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	6	M047301	0.96	-2.07	0.00	†	†	†	†
M4	7	M046601	1.11	-1.09	0.00	†	†	†	†
	19	M047801	1.17	0.65	0.10	†	†	†	†
M5	9	M047001	0.94	-0.62	0.14	†	†	†	†
	18	M053101	0.63	1.39	†	0.10	0.30	-0.41	†
M6	3	M017801	1.00	-0.76	0.31	†	†	†	†
	6	M020201	0.40	-3.41	0.00	†	†	†	†
	25	M020801	0.86	1.43	0.00	†	†	†	†
	28	M018901	0.55	0.02	0.10	†	†	†	†
M7	8	M052701	1.33	0.72	0.22	†	†	†	†
	13	M013031	1.12	1.18	0.00	†	†	†	†
	14	M012631	1.80	0.43	0.27	†	†	†	†
	15	M021101	0.82	0.17	0.00	†	†	†	†
M8	4	M0732CL	0.39	-1.29	†	2.10	0.54	-0.88	-1.76
	8	M092201	1.24	0.40	0.18	†	†	†	†
	13	M092601	0.75	1.52	†	-0.49	0.49	†	†
	18	M052801	0.02	1.55	0.00	†	†	†	†
M9	3	M013131	0.67	0.97	0.00	†	†	†	†
	8	M073501	0.11	6.20	0.00	†	†	†	†
	11	M072901	0.50	-0.68	†	-0.53	0.53	†	†
	18	M093801	0.28	0.06	†	-3.41	2.69	0.72	†
M10	4	M051401	0.83	-1.17	0.05	†	†	†	†
	8	M067101	0.96	-0.74	0.12	†	†	†	†
	19	M067501	0.74	0.55	0.00	†	†	†	†
M11	10	M106601	0.69	-1.28	0.15	†	†	†	†
	14	M107001	1.26	0.52	0.33	†	†	†	†
	16	M107201	1.07	1.89	0.11	†	†	†	†
M12	6	M110401	0.66	0.39	0.06	†	†	†	†
	7	M110501	0.67	0.78	†	0.51	-0.51	†	†
	8	M110601	0.47	-2.43	0.11	†	†	†	†
† 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), 2003 Mathematics Assessment.

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