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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 Geometry and Spatial Sense Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2003

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: 2003

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	4	M074901	0.65	0.50	†	0.09	-0.09	†	†
	5	M074501	0.51	0.26	†	0.60	-0.60	†	†
	12	M019901	0.70	-1.07	0.00	†	†	†	†
	15	M046201	0.82	0.10	0.19	†	†	†	†
M4	2	M046101	0.74	-0.99	0.46	†	†	†	†
	4	M046701	0.82	0.97	0.21	†	†	†	†
	13	M068003	0.48	0.71	†	-1.80	1.80	†	†
	14	M068004	0.26	0.94	†	-0.60	1.25	-0.59	-0.06
M5	1	M085201	0.66	-1.22	0.09	†	†	†	†
	2	M085301	0.88	-0.43	0.18	†	†	†	†
	3	M085701	0.50	-0.38	†	0.54	-0.54	†	†
	4	M085901	0.39	2.33	0.00	†	†	†	†
	6	M085401	0.56	0.83	†	0.40	-0.83	0.43	†
M6	5	M017601	0.34	0.03	0.41	†	†	†	†
	7	M046401	0.80	-0.47	0.19	†	†	†	†
	14	M018001	0.81	1.29	0.20	†	†	†	†
	21	M019801	0.65	0.96	0.00	†	†	†	†
M7	19	M020701	0.75	1.08	0.00	†	†	†	†
M8	2	N214331	0.89	-2.48	0.18	†	†	†	†
	12	M039801	0.87	1.65	0.36	†	†	†	†
M9	15	M0434CL	0.63	1.02	†	0.31	0.90	-1.22	†
M10	2	M047401	0.72	-2.66	0.21	†	†	†	†
	14	M011231	1.96	2.05	0.28	†	†	†	†
M11	8	M096601	0.70	-1.81	0.15	†	†	†	†
	12	M097001	2.08	1.47	0.28	†	†	†	†
	18	M097601	1.19	0.88	0.38	†	†	†	†
M12	13	M100901	0.78	0.47	0.18	†	†	†	†
† 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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