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

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2	dj3	dj4
† 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	11	M146201	0.88	1.23	0.15	†	†	†	†
	15	M146601	0.38	0.30	†	-0.55	1.18	-0.44	-0.18
M4	2	M146801	0.47	-0.76	†	†	†	†	†
M5	7	M019701	0.62	-0.89	†	†	†	†	†
	12	M066501	0.68	0.19	†	-0.45	0.45	†	†
M6	4	M135901	0.67	-1.12	0.09	†	†	†	†
	10	M136501	0.96	-0.39	†	†	†	†	†
	16	M137101	0.79	1.67	0.15	†	†	†	†
M7	5	M160201	1.05	0.19	0.15	†	†	†	†
	8	M157001	0.49	-1.12	†	0.59	-0.59	†	†
	15	M159401	0.65	1.08	†	-0.48	-0.21	0.69	†
M8	14	M087201	0.60	1.88	0.21	†	†	†	†
M9	9	M162001	0.57	-0.75	†	0.15	-0.15	†	†
	14	M159301	1.33	1.07	0.05	†	†	†	†
M10	2	M137301	0.96	-1.31	0.09	†	†	†	†
	8	M137901	0.56	-1.00	0.07	†	†	†	†
	13	M138401	0.68	0.68	†	0.81	-0.81	†	†
M11	5	M156601	0.66	0.29	0.12	†	†	†	†
	9	M156201	0.34	-0.49	0.16	†	†	†	†
	16	M1610CL	0.23	1.07	†	-0.74	-1.28	-1.11	3.13
M12	3	M148401	0.60	-2.46	0.12	†	†	†	†
	7	M148801	1.04	0.50	0.16	†	†	†	†
	15	M149601	1.02	1.83	0.26	†	†	†	†

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