NAEP Analysis and Scaling - IRT Parameters for the Number Sense, Properties, and Operations Scale, by Block and Item, Grade 4 Mathematics State Assessment (Accommodations Permitted [R3]): 2000

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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 Number Sense, Properties, and Operations Scale, by Block and Item, Grade 4 Mathematics State Assessment (Accommodations Permitted [R3]): 2000

NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations scale, by block and item, grade 4 mathematics state assessment (accommodations permitted [R3]): 2000
Block	Item	NAEP ID	a_j	b_j	c_j	d_j1	d_j2	d_j3	d_j4
M3	1	M039001	0.78	-1.43	0.15	†	†	†	†
	3A	M039201	0.83	-0.23	0.00	†	†	†	†
	10	M039901	0.86	1.77	0.15	†	†	†	†
	13A	M040201	0.94	1.47	0.00	†	†	†	†
M4	1	M017401	0.40	-2.78	0.15	†	†	†	†
	4	M017701	1.08	0.58	0.19	†	†	†	†
	6	M017901	1.29	0.55	0.10	†	†	†	†
	9	M018201	1.03	1.18	0.12	†	†	†	†
	11	M018401	1.29	0.79	0.21	†	†	†	†
	12	M018501	2.49	2.08	0.25	†	†	†	†
	13	M018601	0.96	2.21	0.16	†	†	†	†
M5	2	M066101	0.71	-1.04	0.08	†	†	†	†
	5	M066401	0.70	1.48	0.16	†	†	†	†
	8A	M066701	0.65	-0.20	0.00	-0.31	0.31	†	†
	9A	M066801	0.46	0.02	0.00	-2.66	2.66	†	†
M6	4A	M020001	1.09	-0.29	0.00	†	†	†	†
	5A	M020101	1.01	1.16	0.00	†	†	†	†
	9A	M020501	0.70	1.00	0.00	†	†	†	†
	10A	N277903	0.54	-1.57	0.00	†	†	†	†
M7	3	M067801	1.26	1.03	0.15	†	†	†	†
	5A	M068001	0.68	0.68	0.00	†	†	†	†
	6A	M068002	0.64	0.56	0.00	-0.06	0.06	†	†
M8	2A	M010131	0.32	-2.99	0.20	†	†	†	†
	3A	M010231	0.55	-0.97	0.11	†	†	†	†
	5A	M010431	0.65	0.01	0.15	†	†	†	†
	6A	M010531	0.42	1.62	0.10	†	†	†	†
	7A	M010631	0.27	-2.02	0.00	†	†	†	†
	9A	M010831	0.99	0.09	0.13	†	†	†	†
	12A	N202831	0.78	-0.64	0.21	†	†	†	†
	13A	M011131	0.86	0.20	0.24	†	†	†	†
	14A	N240031	1.40	0.36	0.12	†	†	†	†
M9	2	M090601	0.75	-0.46	0.22	†	†	†	†
	3	M090701	0.87	-0.66	0.16	†	†	†	†
	4	M090801	0.65	-0.37	0.07	†	†	†	†
M11	1A	M046001	0.61	-1.00	0.00	†	†	†	†
	4	M046301	0.99	0.62	0.18	†	†	†	†
	6	M046501	0.72	1.21	0.29	†	†	†	†
	9A	M046801	1.14	0.63	0.00	†	†	†	†
	10A	M046901	0.93	0.29	0.00	†	†	†	†
	16	M047501	0.52	-0.84	0.14	†	†	†	†
M12	3A	M086601	0.51	-0.73	0.00	-0.63	0.63	†	†
	4A	M086701	1.32	-0.27	0.21	†	†	†	†
	7A	M087001	0.63	0.38	0.00	-0.08	0.08	†	†
	8A	M087101	0.75	1.53	0.23	†	†	†	†
	10A	M087301	0.65	1.61	0.00	0.42	-1.24	0.40	†
M13	1	M042601	0.87	-0.60	0.19	†	†	†	†
	4	M042901	0.65	0.91	0.23	†	†	†	†
	5	M043001	0.82	-0.65	0.34	†	†	†	†
	8A	M043301	0.68	0.81	0.00	†	†	†	†
M14	1A	M071901	0.69	-0.12	0.14	†	†	†	†
	2A	M072001	0.68	0.05	0.26	†	†	†	†
	7A	M072401	0.68	0.52	0.00	0.18	-0.18	†	†
	8A	M072501	0.77	1.40	0.00	0.02	-0.02	†	†
	9A	M072601	0.51	1.53	0.00	-1.25	1.25	†	†
M15	5	M074601	0.91	0.90	0.33	†	†	†	†
	6A	M074701	0.85	-0.49	0.00	†	†	†	†
	9A	M075001	0.69	1.24	0.00	-1.16	1.16	†	†
	10A	M075101	0.53	0.47	0.00	2.01	-0.56	-1.08	†
† Not applicable; the number of item parameters estimated depends upon the IRT model used for scaling. NOTE: For item j, a_j represents the discriminatory power of the item, b_j represents a location parameter related to item difficulty, c_j represents the guessing parameter, and d_ji 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.

Last updated 14 July 2008 (KL)

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