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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → Item Response Theory Parameters → Mathematics Assessment Item Response Theory Parameters → IRT Parameters for Items in the Number Sense, Properties, and Operations Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2005

NAEP Technical DocumentationIRT parameters for items in the number sense, properties, and operations scale, by block and item, grade 4 mathematics combined national and state main assessment: 2005

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 is 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), 2005 Mathematics Assessment.
M3	6	N277903	0.52	-1.81	0.00	†	†	†	†
	7	M039001	0.78	-1.78	0.09	†	†	†	†
	8	M047501	0.40	-1.48	0.07	†	†	†	†
	9	M074601	1.00	0.60	0.37	†	†	†	†
	11	M075001	0.80	0.97	†	-0.85	0.85	†	†
	16	M066401	0.77	1.29	0.19	†	†	†	†
	17	M020101	1.33	0.75	0.00	†	†	†	†
	18	M043501	0.46	2.11	†	-0.58	0.58	†	†
M4	1	M046001	0.65	-1.29	0.00	†	†	†	†
	5	M046901	0.90	-0.15	0.00	†	†	†	†
	8	M046801	1.00	0.31	0.00	†	†	†	†
	9	M067801	1.31	0.52	0.15	†	†	†	†
	11	M068001	0.67	0.17	†	†	†	†	†
M5	6	M085401	0.70	0.80	†	0.49	-0.65	0.16	†
	8	M020001	1.02	-0.53	0.00	†	†	†	†
	9	M046301	0.97	0.52	0.20	†	†	†	†
	11	M046501	0.99	1.16	0.37	†	†	†	†
	14	M066301	0.39	-0.35	†	-2.20	2.20	†	†
	15	M067901	0.67	0.30	†	-1.28	1.28	†	†
M6	3	M135801	0.82	-0.24	0.44	†	†	†	†
	5	M136001	0.75	-0.59	0.30	†	†	†	†
	6	M136101	1.08	1.10	0.18	†	†	†	†
	7	M136201	0.71	-0.67	0.16	†	†	†	†
	9	M136401	1.08	0.09	0.13	†	†	†	†
	12	M136701	0.75	1.39	0.17	†	†	†	†
M7	2	M138901	0.73	-0.98	0.03	†	†	†	†
	6	M139301	0.54	-1.23	0.00	†	†	†	†
	9	M139601	0.19	1.04	†	-5.13	5.13	†	†
	11	M139801	0.40	0.97	†	-0.12	0.12	†	†
	14	M140101	1.36	1.86	0.16	†	†	†	†
	15	M140201	1.28	1.57	0.19	†	†	†	†
	16	M140301	0.67	1.36	†	-0.22	0.64	-0.76	0.34
M8	1	M010131	0.37	-2.54	0.19	†	†	†	†
	4	M086701	1.16	-0.55	0.18	†	†	†	†
	5	M010631	0.21	-1.61	0.00	†	†	†	†
	7	M010831	0.77	0.46	0.21	†	†	†	†
	8	M010331	0.95	-0.16	0.32	†	†	†	†
	11	M087001	0.60	0.08	†	0.00	0.00	†	†
	17	M072401	0.63	0.46	†	0.11	-0.11	†	†
	19	M087301	0.60	1.47	†	0.39	-1.68	0.58	0.71
M9	2	M042601	0.86	-0.96	0.18	†	†	†	†
	4	M071901	0.77	-0.65	0.23	†	†	†	†
	6	M086601	0.54	-1.09	†	-0.54	0.54	†	†
	8	M090801	0.56	-0.36	0.08	†	†	†	†
	9	M066701	0.58	-0.60	†	-0.48	0.48	†	†
	11	M066801	0.47	-0.24	†	-2.77	2.77	†	†
	16	M043301	0.67	0.70	0.00	†	†	†	†
	18	M0402CL	0.96	1.35	0.00	†	†	†	†
M10	1	M137201	0.74	-0.52	0.13	†	†	†	†
	7	M137801	0.98	0.62	0.14	†	†	†	†
	11	M138201	0.67	0.49	0.00	†	†	†	†
	12	M138301	0.74	0.34	0.21	†	†	†	†
	15	M138601	1.56	1.18	0.05	†	†	†	†
M11	2	M095801	0.88	-1.58	0.06	†	†	†	†
	5	M096101	1.36	0.33	0.28	†	†	†	†
	7	M096401	1.15	-0.17	0.18	†	†	†	†
	9	M096701	0.97	-0.08	0.35	†	†	†	†
	11	M096901	1.12	1.37	0.22	†	†	†	†
	13	M097101	1.15	1.62	0.25	†	†	†	†
	15	M097301	1.27	0.14	0.18	†	†	†	†
	17	M097501	0.85	-1.20	0.15	†	†	†	†
M12	1	M099701	0.75	-1.61	0.14	†	†	†	†
	2	M099801	0.82	1.10	0.37	†	†	†	†
	3	M099901	1.35	0.90	0.42	†	†	†	†
	4	M100001	1.03	-1.09	0.03	†	†	†	†
	8	M100401	1.05	0.45	0.24	†	†	†	†
	9	M100501	0.91	-0.85	0.00	†	†	†	†
	15	M101101	1.46	1.08	0.17	†	†	†	†
	16	M101201	1.04	0.41	0.13	†	†	†	†
	18	M101501	0.77	-1.44	†	1.13	-1.13	†	†

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