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

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

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
† 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.
M3	5	M074501	0.49	0.18	†	0.57	-0.57	†	†
	12	M019901	0.72	-1.05	0.00	†	†	†	†
	15	M046201	0.86	0.02	0.21	†	†	†	†
M4	2	M046101	0.61	-1.77	0.22	†	†	†	†
	4	M046701	0.71	0.86	0.18	†	†	†	†
	13	M068003	0.48	0.73	†	-1.76	1.76	†	†
	14	M068004	0.26	0.92	†	-0.38	1.14	-0.49	-0.27
M5	1	M085201	0.70	-1.10	0.17	†	†	†	†
	2	M085301	0.74	-0.61	0.15	†	†	†	†
	3	M085701	0.55	-0.42	†	0.57	-0.57	†	†
	4	M085901	0.43	2.15	0.00	†	†	†	†
M6	2	M135701	0.59	-2.82	0.21	†	†	†	†
M7	1	M138801	0.65	-2.23	0.19	†	†	†	†
	10	M139701	0.77	0.00	0.21	†	†	†	†
M8	2	N214331	0.86	-2.61	0.18	†	†	†	†
	12	M039801	0.75	1.52	0.32	†	†	†	†
M9	15	M0434CL	0.67	0.92	†	0.35	0.84	-1.19	†
M10	10	M138101	0.44	-0.08	0.17	†	†	†	†
	16	M138701	0.32	0.23	†	0.72	-4.22	2.09	1.41
M11	8	M096601	0.67	-2.03	0.12	†	†	†	†
	12	M097001	1.80	1.42	0.29	†	†	†	†
	18	M097601	1.08	0.83	0.38	†	†	†	†
M12	13	M100901	0.80	0.34	0.18	†	†	†	†
	17	M101401	0.82	-0.68	0.00	†	†	†	†

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