NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Long-Term Trend Assessment IRT Parameters → IRT Parameters, Age 17 Mathematics Long-Term Trend Assessment, by Item and Block: 2008

NAEP Technical DocumentationIRT parameters, age 17 mathematics long-term trend assessment, by item and block: 2008

Block	Item	NAEP ID	aj	bj	cj
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. 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), 2008 Mathematics Long-Term Trend Assessment.
M1	1	N306801	1.31	-0.10	0.36
	2	N306901	0.81	-0.46	0.10
	3	N307001	1.38	-0.03	0.11
	4	N307101	1.01	-1.23	0.22
	5	N307201	1.16	-0.93	0.17
	6	N307301	0.77	-0.91	†
	7	N307401	0.49	-1.85	0.17
	8	N307501	1.26	-0.56	0.27
	9	N307601	0.86	-1.30	0.21
	10	N307701	1.52	0.86	†
	11	N307801	1.37	-1.07	0.27
	12	N307901	1.80	-0.04	0.26
	13	N308001	1.49	-0.33	0.15
	14	N308101	0.91	0.80	†
	15	N300801	1.35	-0.97	0.14
	16	N300901	1.45	-0.52	0.18
	17	N301001	1.04	-0.11	0.19
	18	N301101	0.65	-1.47	0.24
	19	N301201	0.90	-0.98	0.31
	20	N308201	1.40	-0.11	0.10
	21	N308301	1.13	-0.37	0.13
	22	N308401	2.20	0.91	0.15
	23	N308501	0.82	-0.42	†
M2	1	N308601	1.15	-0.12	0.28
	3	N308801	1.33	-0.12	0.31
	4	N308901	1.10	-1.36	†
	5	N309001	0.85	-0.46	0.36
	6	N309101	0.73	-2.00	0.22
	7	N309201	0.74	-1.98	0.22
	8	N309301	0.73	-0.72	†
	9	N309401	0.53	-1.37	0.11
	10	N309501	0.74	-1.32	0.15
	11	N309601	1.54	-0.60	0.17
	12	N309701	1.42	1.08	0.19
	13	N309801	1.32	-0.64	0.27
	14	N309901	1.12	1.21	†
	15	N302701	0.91	-1.18	0.18
	16	N302801	0.92	-0.97	0.42
	17	N302901	0.90	-2.13	†
	18	N303001	1.17	1.77	0.34
	19	N303101	0.94	-0.49	0.25
	20	N310001	1.96	0.87	0.21
	21	N310101	0.80	-0.82	0.33
	22	N310201	0.90	-0.64	†
	23	N310301	0.36	-0.32	0.14
M3	1	N326501	1.18	-1.46	0.19
	2	N326601	0.79	-2.55	†
	3	N326701	1.51	-0.50	0.25
	4	N326801	0.82	-0.96	†
	5	N326901	0.95	-0.15	0.09
	6	N327001	1.19	-0.11	0.07
	7	N327101	1.41	-0.03	†
	8	N327201	1.15	-0.80	0.27
	9	N327301	0.89	-1.42	0.21
	10	N327302	0.56	-1.50	0.20
	11	N327401	1.08	-0.94	0.25
	12	N327501	1.21	-1.24	0.33
	13	N327601	1.09	0.37	0.24
	14	N327701	1.85	0.84	0.15
	15	N325101	0.75	-1.30	0.17
	16	N325201	0.45	-1.09	0.21
	17	N325301	0.78	-2.08	†
	18	N325401	0.99	-0.80	0.33
	19	N325501	1.65	0.36	0.09
	20	N325601	0.53	-1.93	†
	21	N325701	1.77	0.71	†
	22	N327801	1.13	-0.49	0.22
	23	N327901	1.15	-0.65	0.31
	24	N328001	0.60	2.32	0.24
	25	N328101	0.61	-1.01	0.23
	26	N328201	0.95	0.12	0.22
	27	N328301	0.93	0.81	0.10
	28	N328401	0.71	1.56	0.29
	29	N328501	0.44	0.80	0.17
M4	1	N314301	0.89	-2.77	0.21
	2	N314901	0.55	-1.58	0.24
	3	N320701	0.57	-2.01	0.24
	4	N320801	0.84	-1.47	0.29
	5	N320802	0.73	-1.23	0.35
	6	N315801	1.07	-1.35	0.12
	7	N320901	0.88	-1.42	0.23
	8	N314101	1.19	-0.89	0.22
	9	N317701	1.15	-1.03	0.20
	10	N317901	0.67	-2.08	0.14
	11	N318001	0.60	-2.18	0.13
	12	N318301	0.45	-1.64	0.14
	13	N318101	0.99	1.10	0.38
	14	N318201	0.50	-1.49	0.11
	15	N318401	0.68	-0.10	0.10
	16	N321001	0.77	-0.64	†
	17	N321101	1.11	-0.33	†
	18	N321201	1.17	-1.00	0.23
	19	N315901	0.86	-1.34	0.14
	20	N316201	0.98	-1.15	0.19
	21	N311701	0.58	-1.59	0.27
	22	N311702	1.29	1.35	0.21
	23	N315501	0.81	-0.79	†
	24	N315401	1.73	-0.22	0.36
	25	N317801	1.55	-0.30	0.14
	26	N316101	0.87	-0.56	0.28
	27	N321301	0.85	-0.99	0.10
	28	N317401	1.08	-0.41	0.31
	29	N321401	1.36	0.19	†
	30	N318601	1.41	-0.17	0.16
	31	N321501	1.93	1.33	0.29
	32	N321601	1.95	1.36	0.27
	33	N321701	1.96	0.18	0.22
	34	N321801	1.30	0.84	0.06
	35	N321901	0.80	1.54	†
M5	1	N303601	1.43	-1.09	0.28
	2	N303701	1.20	-0.98	0.38
	3	N303801	0.98	-0.32	†
	4	N303901	1.35	-1.01	0.14
	5	N304001	0.72	-0.70	0.09
	6	N304101	0.78	-0.69	†
	7	N304201	0.74	-2.23	†
	8	N304301	1.32	-0.23	0.15
	9	N288201	1.52	-0.81	0.30
	10	N304401	1.65	0.52	0.10
	11	N304501	0.91	-1.20	0.11
	12	N304601	1.18	0.44	†
	13	N304701	0.68	0.27	0.17
	14	N304801	0.99	-0.45	0.40
	15	N297101	1.05	-0.31	0.11
	16	N297201	1.41	-0.37	0.17
	17	N297301	1.36	-0.12	0.10
	18	N297401	1.36	0.50	0.15
	19	N297501	1.29	0.31	0.30
	20	N297601	2.28	0.13	0.37
	21	N304901	1.07	0.79	†
	22	N305001	0.74	-0.51	0.30
	23	N305101	0.92	0.80	0.37
M6	1	N305201	0.88	-0.67	0.16
	2	N305301	1.08	-0.74	0.36
	3	N305401	1.28	-1.32	0.22
	4	N305501	0.90	-0.18	†
	5	N305601	1.00	-0.50	0.28
	6	N305701	1.23	-0.47	0.24
	7	N305801	0.65	-1.99	†
	8	N305901	1.47	0.85	0.24
	9	N290301	1.77	-0.63	0.12
	10	N306001	0.73	-1.93	0.19
	11	N306101	1.39	0.79	0.27
	12	N306201	1.03	0.52	†
	13	N306301	0.52	-0.02	0.12
	14	N306401	0.85	-0.40	†
	15	N298901	1.72	0.55	0.33
	16	N299001	0.78	-1.20	†
	17	N299101	0.75	-3.18	0.18
	18	N299201	1.13	-1.05	0.15
	19	N299301	2.26	-0.22	0.13
	21	N306501	1.10	-0.09	0.22
	22	N306601	0.86	-0.93	0.27
	23	N306701	1.72	1.21	0.34

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