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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 Measurement Scale, by Block and Item, Grade 8 Mathematics Combined National and State Main Assessment: 2003

NAEP Technical DocumentationIRT parameters for items in the measurement 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	1	M075201	0.73	-0.30	0.31	†	†	†	†
	2	M075401	0.49	0.22	†	1.12	-1.12	†	†
	3	M075601	0.58	-0.03	†	-1.11	1.11	†	†
	18	M076001	0.48	1.39	†	-1.97	0.97	0.19	0.81
M4	6	M047201	0.82	-1.09	0.08	†	†	†	†
	14	M068008	0.40	1.99	†	0.19	-0.19	†	†
	17	M093601	0.88	1.50	†	1.39	-1.39	†	†
M5	3	M085601	1.26	0.05	0.34	†	†	†	†
	4	M085501	1.39	0.58	0.20	†	†	†	†
	12	M047101	1.07	0.20	0.16	†	†	†	†
	17	M047901	1.17	1.30	0.00	†	†	†	†
M6	4	M017501	0.27	-4.03	0.18	†	†	†	†
	10	M018101	0.46	-0.88	0.10	†	†	†	†
	18	M020301	1.06	-0.31	0.00	†	†	†	†
	22	M019101	1.30	1.55	0.13	†	†	†	†
	29	M052201	0.64	1.08	†	0.92	-0.50	-0.55	0.13
M7	1	M012331	0.91	-1.60	0.23	†	†	†	†
	4	M051301	0.44	-2.25	0.00	†	†	†	†
	5	M052301	2.21	0.64	0.26	†	†	†	†
M8	2	M013331	1.06	-0.96	0.40	†	†	†	†
	6	M073301	1.07	1.17	0.28	†	†	†	†
	12	M019201	1.59	1.41	0.15	†	†	†	†
M9	5	M072801	1.15	0.70	0.53	†	†	†	†
M10	14	M093201	0.40	1.42	0.12	†	†	†	†
M11	7	M106301	1.15	0.05	0.00	†	†	†	†
	12	M106801	0.59	-0.89	0.20	†	†	†	†
	17	M107401	1.60	1.84	0.14	†	†	†	†
M12	2	M110001	1.16	0.90	0.19	†	†	†	†
	5	M110301	0.97	-0.55	0.12	†	†	†	†
	15	M111401	0.89	0.67	0.19	†	†	†	†
† 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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