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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 Measurement Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2005

NAEP Technical DocumentationIRT parameters for items in the measurement scale, by block and item, grade 4 mathematics combined national and state main assessment: 2005

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2
† Not applicable; c parameters are not estimated for generalized partial credit models, and d parameters are not estimated for two-parameter or three-parameter logistic 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.
M3	1	M074201	1.02	-0.34	0.10	†	†
	2	M074301	0.51	0.48	0.00	†	†
	3	M074801	0.69	0.17	†	0.09	-0.09
	4	M074901	0.67	0.34	†	0.03	-0.03
M4	6	M047201	0.75	0.47	0.11	†	†
M5	5	M085601	0.95	1.62	0.26	†	†
	13	M047101	1.57	1.51	0.18	†	†
M6	1	M135601	0.84	-1.46	0.20	†	†
	8	M136301	0.67	-0.26	0.16	†	†
	11	M136601	0.67	0.22	†	0.24	-0.24
	13	M136801	0.86	0.49	0.13	†	†
M7	3	M139001	0.72	-1.07	0.16	†	†
	5	M139201	0.61	0.13	0.31	†	†
	8	M139501	0.39	0.50	0.13	†	†
	13	M140001	0.68	1.40	†	0.61	-0.61
M8	3	M039101	0.45	-1.84	0.15	†	†
	9	M086901	0.74	0.84	0.33	†	†
	10	M090901	1.10	1.19	0.40	†	†
	15	M091201	0.59	0.57	†	-0.34	0.34
	16	M066001	0.86	0.73	0.13	†	†
	18	M091301	1.08	1.82	0.23	†	†
M9	1	M042801	0.77	-1.78	0.20	†	†
	7	M039501	0.73	-0.46	0.07	†	†
	12	M067601	0.58	0.97	0.10	†	†
	19	M039601	0.62	0.49	0.13	†	†
M10	3	M137401	1.02	-0.30	0.12	†	†
	6	M137701	0.74	0.04	0.42	†	†
	9	M138001	0.62	-0.24	0.21	†	†
	14	M138501	0.99	1.42	0.19	†	†
M11	1	M095701	0.54	-0.93	0.19	†	†
	10	M096801	0.44	1.38	0.08	†	†
	14	M097201	0.75	0.01	†	-0.15	0.15
M12	5	M100101	0.81	-0.98	0.14	†	†
	7	M100301	1.29	0.74	0.30	†	†

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