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NAEP Technical DocumentationIRT parameters for items in the measurement scale, grade 4 mathematics combined national and state main assessment, by item and block: 2009

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2
† Not applicable; c parameters are not estimated for generalized partial credit models, and d parameters are not estimated for two-parameter or three-parameter logistic 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 represents 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), 2009 Mathematics Assessment.
M3	6	M145701	1.19	-0.17	0.15	†	†
	8	M145901	0.49	0.44	†	-0.96	0.96
	10	M146101	1.14	0.42	†	†	†
	13	M146401	0.75	0.94	†	0.48	-0.48
	14	M146501	1.12	0.88	0.04	†	†
M4	5	M147101	1.40	0.88	0.15	†	†
M5	5	M085601	1.09	1.22	0.28	†	†
	13	M047101	1.42	1.39	0.18	†	†
M6	1	M135601	0.78	-1.64	0.17	†	†
	8	M136301	0.68	-0.27	0.19	†	†
	11	M136601	0.71	0.14	†	0.27	-0.27
	13	M136801	0.91	0.44	0.16	†	†
M7	1	M154501	0.46	-3.22	0.20	†	†
	14	M157701	0.44	3.71	0.15	†	†
M8	3	M039101	0.47	-1.82	0.20	†	†
	9	M086901	0.78	0.80	0.31	†	†
	10	M090901	1.14	1.05	0.39	†	†
	15	M091201	0.60	0.42	†	-0.39	0.39
	16	M066001	1.03	0.72	0.17	†	†
	18	M091301	1.25	1.71	0.25	†	†
M9	1	M157901	0.78	-2.20	0.18	†	†
	7	M158701	1.10	1.24	0.07	†	†
	11	M160301	0.50	0.91	0.09	†	†
M10	3	M137401	1.03	-0.37	0.16	†	†
	6	M137701	0.81	0.17	0.46	†	†
	9	M138001	0.69	-0.16	0.25	†	†
	14	M138501	1.38	1.20	0.20	†	†
M11	2	M156301	0.53	-2.23	0.17	†	†
	7	M158301	0.88	0.57	0.19	†	†
	11	M161901	0.42	-1.23	†	0.43	-0.43
M12	1	M148201	0.84	-2.09	0.17	†	†
	8	M148901	0.86	-0.34	0.15	†	†

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