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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Assessment IRT Parameters → IRT Parameters for the Geometry and Spatial Sense Scale, by Block and Item, Grade 8 Mathematics National Main Assessment (Accommodations Not Permitted [R2]): 2000

NAEP Technical DocumentationIRT parameters for the geometry and spatial sense scale, by block and item, grade 8 mathematics national main assessment (accommodations not permitted [R2]): 2000

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
M3	5	M093401	1.00	0.58	0.18	†	†	†	†
M4	3	M017601	0.49	-1.55	0.26	†	†	†	†
	7	M018001	0.67	-0.33	0.22	†	†	†	†
	17	M019001	1.11	0.74	0.21	†	†	†	†
	21	M019601	0.63	1.25	0.11	†	†	†	†
M6	0	M0213CL	0.57	-0.39	0.00	-0.42	0.42	†	†
	2	M019801	1.15	-0.77	0.00	†	†	†	†
	3	M019901	0.63	-1.83	0.00	†	†	†	†
	11	M020901	0.56	0.28	0.00	†	†	†	†
	12	M021001	0.93	-0.09	0.00	†	†	†	†
M7	5	M068003	0.58	-0.33	0.00	-1.88	1.88	†	†
	6	M068005	0.44	-0.56	0.00	-1.61	1.61	†	†
	7	M068006	0.46	0.58	0.00	-1.51	1.51	†	†
	8	M068007	0.63	0.27	0.09	†	†	†	†
	10	M068201	0.24	1.89	0.00	†	†	†	†
M8	6	M012731	0.40	1.76	0.12	†	†	†	†
	7	M012831	1.28	0.29	0.13	†	†	†	†
M9	4	M052601	0.69	0.57	0.16	†	†	†	†
M10	3	M085701	0.44	-0.39	0.00	†	†	†	†
	4	M085801	0.76	0.09	0.21	†	†	†	†
	5	M085901	0.50	0.06	0.00	0.97	-0.97	†	†
M11	2	M046101	0.93	-1.94	0.24	†	†	†	†
	3	M046201	1.06	-0.69	0.28	†	†	†	†
	5	M046401	0.94	-0.98	0.25	†	†	†	†
	8	M046701	1.33	0.00	0.28	†	†	†	†
	19	M048001	1.13	1.39	0.09	†	†	†	†
M12	4	M092401	0.62	1.39	0.00	1.92	-1.92	†	†
M13	7	M051801	0.91	1.70	0.25	†	†	†	†
	9	M052001	1.04	1.23	0.18	†	†	†	†
M15	7	M075801	0.86	1.01	0.00	0.28	-0.28	†	†
† Not applicable; the number of item parameters estimated depends upon the IRT model used for scaling. 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 or the generalized partial credit model. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2000 Mathematics Assessment.

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