NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → IRT Parameters for the Mathematics Long-Term Trend Assessments → IRT Parameters for Single Overall Scale, Age 17 Mathematics Long-Term Trend Assessment, by Item and Block: 2012

NAEP Technical DocumentationIRT parameters for single overall scale, age 17 mathematics long-term trend assessment, by item and block: 2012

Block	Item	NAEP ID	aj	bj	cj
† Not applicable; c parameters are not estimated for generalized partial credit models. NOTE: For item j, aj represents the discriminatory power of the item, bj represents a location parameter related to item difficulty, and cj represents the guessing parameter. The c parameter value is exactly zero for items scaled with the two-parameter logistic model. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2012 Mathematics Long-Term Trend  Assessment.
MA	1	N306801	1.32	-0.09	0.37
	2	N306901	0.88	-0.41	0.10
	3	N307001	1.42	-0.06	0.13
	4	N307101	1.04	-1.18	0.23
	5	N307201	1.16	-0.95	0.20
	6	N307301	0.82	-0.86	†
	7	N307401	0.51	-1.73	0.22
	8	N307501	1.24	-0.63	0.25
	9	N307601	0.86	-1.30	0.22
	10	N307701	1.56	0.83	†
	11	N307801	1.45	-1.05	0.25
	12	N307901	1.84	-0.03	0.27
	13	N308001	1.50	-0.35	0.20
	14	N308101	0.98	0.79	†
	15	N300801	1.42	-0.92	0.17
	16	N300901	1.39	-0.56	0.18
	17	N301001	1.05	-0.11	0.17
	18	N301101	0.63	-1.49	0.26
	19	N301201	1.00	-0.86	0.33
	20	N308201	1.41	-0.13	0.11
	21	N308301	1.16	-0.33	0.16
	22	N308401	2.25	0.88	0.14
	23	N308501	0.80	-0.50	†
MA	1	N336201	1.58	-0.84	0.32
	2	N337401	1.11	-0.98	0.29
	3	N338701	1.09	0.02	0.21
	4	N339501	0.91	-1.03	0.21
	5	N337501	1.53	0.73	†
	6	N339001	1.32	0.74	0.06
	7	N332401	1.06	-2.35	†
	8	N338401	0.94	-1.44	0.21
	9	N336701	1.20	0.13	†
	10	N338101	0.86	-1.25	0.27
	11	N339201	1.13	0.03	0.11
	12	N337801	1.11	0.80	†
	13	N332301	1.07	-0.79	0.29
	14	N334401	1.03	0.30	0.29
	15	N338001	0.83	-0.49	0.18
	16	N334501	0.93	-0.27	0.28
	17	N339601	1.55	1.08	0.13
	18	N340001	1.02	0.32	0.31
	19	N339101	1.40	0.37	†
	20	N330101	0.74	-1.19	0.21
	21	N330102	0.99	-0.34	0.32
	22	N336401	0.85	0.19	0.39
	23	N338301	1.23	0.50	0.15
	24	N338901	0.75	-0.91	0.27
MB	1	N308601	1.09	-0.07	0.28
	2	N308701Z	0.31	-2.04	0.20
	3	N308801	1.31	-0.07	0.32
	4	N308901	1.18	-1.28	†
	5	N309001	0.83	-0.56	0.32
	6	N309101	0.75	-1.82	0.27
	7	N309201	0.70	-2.03	0.24
	8	N309301	0.81	-0.55	†
	9	N309401	0.56	-1.35	0.11
	10	N309501	0.79	-1.21	0.17
	11	N309601	1.48	-0.63	0.15
	12	N309701	1.55	1.01	0.21
	13	N309801	1.41	-0.61	0.28
	14	N309901	1.20	1.19	†
	15	N302701	0.85	-1.08	0.17
	16	N302801	0.99	-0.84	0.50
	17	N302901	1.02	-2.11	†
	18	N303001	1.31	1.83	0.35
	19	N303101	0.98	-0.48	0.25
	20	N310001	1.97	0.86	0.23
	21	N310101	0.81	-0.80	0.37
	22	N310201	0.87	-0.65	†
	23	N310301	0.36	-0.21	0.16
MC	1	N326501	1.17	-1.53	0.19
	2	N326601	0.74	-2.67	†
	3	N326701	1.62	-0.48	0.26
	4	N326801	0.80	-0.98	†
	5	N326901	0.95	-0.09	0.09
	6	N327001	1.19	-0.20	0.09
	7	N327101	1.46	-0.03	†
	8	N327201	1.17	-0.78	0.29
	9	N327301	0.86	-1.47	0.20
	10	N327302	0.52	-1.54	0.19
	11	N327401	1.01	-0.99	0.22
	12	N327501	1.12	-1.23	0.39
	13	N327601	1.14	0.38	0.25
	14	N327701	1.68	0.86	0.17
	15	N325101	0.78	-1.42	0.16
	16	N325201	0.41	-1.08	0.20
	17	N325301	0.82	-2.15	†
	18	N325401	1.14	-0.68	0.36
	19	N325501	1.69	0.36	0.09
	20	N325601	0.53	-1.88	†
	21	N325701	1.93	0.69	†
	22	N327801	1.21	-0.49	0.25
	23	N327901	1.19	-0.58	0.33
	24	N328001	0.59	2.17	0.22
	25	N328101	0.63	-0.94	0.26
	26	N328201	1.07	0.14	0.26
	27	N328301	0.91	0.79	0.10
	28	N328401	0.74	1.52	0.30
	29	N328501	0.45	0.72	0.16
MD	1	N314301	0.83	-3.10	0.24
	2	N314901	0.52	-1.57	0.22
	3	N320701	0.54	-2.10	0.23
	4	N320801	0.74	-1.56	0.28
	5	N320802	0.67	-1.45	0.31
	6	N315801	1.00	-1.39	0.12
	7	N320901	0.88	-1.61	0.30
	8	N314101	1.18	-0.90	0.23
	9	N317701	1.16	-1.01	0.24
	10	N317901	0.68	-1.84	0.18
	11	N318001	0.60	-2.14	0.15
	12	N318301	0.49	-1.57	0.13
	13	N318101	1.22	1.10	0.39
	14	N318201	0.49	-1.52	0.12
	15	N318401	0.70	-0.03	0.09
	16	N321001	0.82	-0.50	†
	17	N321101	1.12	-0.38	†
	18	N321201	1.15	-0.86	0.25
	19	N315901	0.87	-1.31	0.16
	20	N316201	0.92	-1.20	0.21
	21	N311701	0.55	-1.68	0.26
	22	N311702	1.19	1.24	0.20
	23	N315501	0.82	-0.68	†
	24	N315401	1.61	-0.30	0.36
	25	N317801	1.58	-0.29	0.15
	26	N316101	0.88	-0.59	0.27
	27	N321301	0.84	-1.10	0.11
	28	N317401	1.00	-0.58	0.27
	29	N321401	1.31	0.18	†
	30	N318601	1.48	-0.16	0.20
	31	N321501Y	1.91	1.29	0.29
	32	N321601	1.90	1.31	0.27
	33	N321701	1.89	0.14	0.21
	34	N321801	1.44	0.82	0.07
	35	N321901	0.84	1.50	†
ME	1	N303601	1.47	-1.14	0.26
	2	N303701	1.09	-1.10	0.37
	3	N303801	0.99	-0.36	†
	4	N303901	1.42	-1.01	0.13
	5	N304001	0.79	-0.69	0.08
	6	N304101	0.86	-0.53	†
	7	N304201	0.74	-2.20	†
	8	N304301	1.35	-0.28	0.12
	9	N288201	1.43	-0.86	0.29
	10	N304401	1.70	0.52	0.10
	11	N304501	0.88	-1.26	0.13
	12	N304601	1.30	0.53	†
	13	N304701	0.66	0.31	0.17
	14	N304801	0.81	-0.65	0.35
	15	N297101	1.04	-0.37	0.11
	16	N297201	1.45	-0.40	0.19
	17	N297301	1.40	-0.15	0.12
	18	N297401	1.32	0.46	0.15
	19	N297501	1.48	0.36	0.30
	20	N297601	2.58	0.14	0.38
	21	N304901	1.18	0.81	†
	22	N305001	0.76	-0.49	0.32
	23	N305101	0.80	0.78	0.37
MF	1	N305201	0.94	-0.74	0.16
	2	N305301	1.19	-0.70	0.38
	3	N305401	1.27	-1.41	0.17
	4	N305501	0.90	-0.06	†
	5	N305601	1.03	-0.53	0.28
	6	N305701	1.30	-0.40	0.24
	7	N305801	0.60	-2.18	†
	8	N305901	1.49	0.79	0.24
	9	N290301	1.93	-0.64	0.11
	10	N306001	0.67	-1.81	0.26
	11	N306101	1.37	0.72	0.27
	12	N306201	1.15	0.51	†
	13	N306301	0.54	-0.12	0.12
	14	N306401	0.91	-0.33	†
	15	N298901	1.95	0.51	0.34
	16	N299001	0.82	-1.07	†
	17	N299101	0.71	-3.46	0.19
	18	N299201	1.06	-0.97	0.17
	19	N299301	2.37	-0.22	0.11
	21	N306501	1.12	-0.13	0.24
	22	N306601	0.92	-0.84	0.32
	23	N306701	1.95	1.12	0.35

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