NAEP Analysis and Scaling - IRT Parameters for the Number Sense, Properties, and Operations Scale, by Block and Item, Grade 4 Mathematics National Main Assessment (Accommodations Not Permitted [R2]): 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 National Main Assessment (Accommodations Not Permitted [R2]): 2000

NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations scale, by block and item, grade 4 mathematics national main assessment (accommodations not permitted [R2]): 2000
Block	Item	NAEP ID	a_j	b_j	c_j	d_j1	d_j2	d_j3	d_j4
M3	1	M039001	0.82	-1.61	0.19	†	†	†	†
	3	M039201	0.78	-0.36	0.00	†	†	†	†
	10	M039901	0.91	1.52	0.13	†	†	†	†
	13	M040201	0.91	1.46	0.00	†	†	†	†
M4	1	M017401	0.34	-3.52	0.20	†	†	†	†
	4	M017701	1.03	0.44	0.16	†	†	†	†
	6	M017901	1.34	0.48	0.11	†	†	†	†
	9	M018201	1.02	1.20	0.15	†	†	†	†
	11	M018401	1.50	0.73	0.24	†	†	†	†
	12	M018501	1.65	2.50	0.24	†	†	†	†
	13	M018601	0.92	2.13	0.17	†	†	†	†
M5	2	M066101	0.74	-1.05	0.17	†	†	†	†
	5	M066401	0.68	1.44	0.17	†	†	†	†
	8	M066701	0.63	-0.24	0.00	-0.32	0.32	†	†
	9	M066801	0.46	-0.01	0.00	-2.48	2.48	†	†
M6	4	M020001	1.14	-0.32	0.00	†	†	†	†
	5	M020101	1.04	1.10	0.00	†	†	†	†
	9	M020501	0.69	0.91	0.00	†	†	†	†
	10	N277903	0.48	-1.87	0.00	†	†	†	†
M7	3	M067801	1.35	0.94	0.16	†	†	†	†
	5	M068001	0.74	0.59	0.00	†	†	†	†
	6	M068002	0.67	0.46	0.00	-0.17	0.17	†	†
M8	2	M010131	0.40	-2.45	0.21	†	†	†	†
	3	M010231	0.62	-0.79	0.22	†	†	†	†
	5	M010431	0.65	0.04	0.16	†	†	†	†
	6	M010531	0.52	1.49	0.12	†	†	†	†
	7	M010631	0.24	-2.39	0.00	†	†	†	†
	9	M010831	1.00	0.08	0.15	†	†	†	†
	12	N202831	0.88	-0.53	0.30	†	†	†	†
	13	M011131	0.74	-0.08	0.14	†	†	†	†
	14	N240031	1.65	0.33	0.16	†	†	†	†
M9	2	M090601	0.68	-0.55	0.25	†	†	†	†
	3	M090701	0.83	-0.71	0.20	†	†	†	†
	4	M090801	0.67	-0.27	0.18	†	†	†	†
M11	1	M046001	0.62	-1.20	0.00	†	†	†	†
	4	M046301	1.28	0.55	0.23	†	†	†	†
	6	M046501	0.51	1.24	0.25	†	†	†	†
	9	M046801	1.01	0.52	0.00	†	†	†	†
	10	M046901	0.92	0.25	0.00	†	†	†	†
	16	M047501	0.55	-0.78	0.18	†	†	†	†
M12	3	M086601	0.51	-0.80	0.00	-0.68	0.68	†	†
	4	M086701	1.14	-0.54	0.12	†	†	†	†
	7	M087001	0.64	0.31	0.00	-0.04	0.04	†	†
	8	M087101	1.73	1.26	0.28	†	†	†	†
	10	M087301	0.59	1.54	0.00	0.18	-1.30	0.52	0.59
M13	1	M042601	0.76	-0.72	0.18	†	†	†	†
	4	M042901	0.55	0.53	0.18	†	†	†	†
	5	M043001	0.71	-0.95	0.22	†	†	†	†
	8	M043301	0.68	0.71	0.00	†	†	†	†
M14	1	M071901	0.75	0.10	0.21	†	†	†	†
	2	M072001	0.61	-0.37	0.15	†	†	†	†
	7	M072401	0.71	0.42	0.00	0.24	-0.24	†	†
	8	M072501	0.73	1.35	0.00	-0.10	0.10	†	†
	9	M072601	0.51	1.49	0.00	-1.21	1.21	†	†
M15	5	M074601	0.91	0.86	0.37	†	†	†	†
	6	M074701	0.93	-0.54	0.00	†	†	†	†
	9	M075001	0.74	1.20	0.00	-1.00	1.00	†	†
	10	M075101	0.57	0.47	0.00	1.91	-0.44	-1.01	-0.46
† 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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