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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Assessment IRT Parameters → IRT Parameters for Items in the Number Properties and Operations Subscale, Grade 4 Mathematics Combined National and State Assessment, by Block and Item: 2019

NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 4 Mathematics Combined National and State Assessment, by Block and Item: 2019

IRT parameters for items in the number properties and operations subscale, grade 4 mathematics combined national and state assessment, by block and item: 2019
Item	NAEP ID	a	b	c	d	d	d
Not applicable; c parameters are not estimated for the two-parameter logistic or generalized partial credit models, and d parameters are not estimated for the two-parameter or three-parameter logistic models.
For item j, a represents the discriminatory power of the item, b represents a location parameter related to item difficulty, c represents the guessing parameter, and d represents the category threshold parameter for category i. The c parameter value is assumed to be exactly zero and is not estimated for items scaled with the two-parameter logistic model. For item j, d may not sum to zero because of rounding.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment.
Block M1
1	M390401	0.46	-2.74	0.13
3	M245401	0.54	-1.32
5	M246101	1.08	-1.78	0.17
8	M243901	0.44	-1.78
10	M3748MS	0.52	-0.57		-1.03	1.03
13	M3945MS	0.52	1.38
17	M373101	0.62	1.12		-3.37	3.37
Block M2
2	M3762MS	0.85	-2.65
5	M147201	0.53	-2.09	0.18
7	M4188MS	0.71	-1.34
9	M341301	0.64	-1.43	0.12
11	M3733MS	0.72	-1.11
13	M240101	1.03	-0.58	0.25
Block M3
3	M3690MS	0.87	-1.39
5	M370401	0.72	-0.43
8	M3738MS	0.98	1.45
11	M3728MS	0.79	0.87		0.43	-0.43
Block M4
3	M147401	0.86	-0.63	0.10
5	M340901	0.82	0.11	0.16
8	M219101	1.11	0.26	0.26
10	M343201	0.59	0.85		0.79	-0.79
12	M229701	0.68	1.65	0.25
13	M343001	0.96	0.14
15	D3444MS	0.48	1.48		-6.00	6.00
20	M147701	1.82	1.25	0.19
Block M5
2	M225401	0.90	-0.03	0.21
5	M228601	0.87	-0.73	0.27
7	M225101	1.04	0.77	0.15
8	M229301	1.75	0.29	0.15
11	M338601	1.05	0.18	0.17
14	M338801	1.29	1.49
16	M338901	1.09	0.36	0.25
19	M147901	1.31	0.73	0.17
Block M6
6	M220201	0.62	-1.38	0.34
8	M220501	0.97	1.21	0.33
9	M219501	0.54	0.23		-0.33	0.33
11	M220701	0.27	-0.35		-4.43	4.43
12	M220801	1.80	1.22	0.07
13	M220901	1.95	1.19	0.28
16	M221001	1.05	0.19	0.26
20	M344201	0.92	0.14	0.17
Block M7
1	M158001	1.15	0.27	0.27
3	M161101	0.89	-0.93	0.17
6	D1616MS	0.91	0.45
8	M159701	0.88	-1.29	0.15
10	M155201	0.77	-0.79	0.29
15	M226701	1.56	1.67	0.26
17	M148001	1.83	1.37	0.17
Block M8
2	M375101	0.78	1.17
8	M375401	0.47	0.38
10	M376101	0.57	1.06		0.87	-0.87
12	M3785MS	0.61	1.45		0.57	-0.57
15	M377101	2.72	1.92	0.15
Block M9
1	M247301	0.77	-1.49	0.29
4	M3709MS	0.90	-1.15
6	M3921MS	0.78	-0.37
8	M230801	1.46	-0.39	0.29
10	M399901	0.85	0.62
12	M399001	0.69	0.74		0.71	-0.71
Block M10
1	M223901	0.86	-1.50	0.09
2	M339001	0.62	-1.29	0.11
7	M240801	0.93	0.37
9	M224801	0.88	-0.51	0.11
11	M339301	1.28	0.46	0.18
12	M228501	1.26	0.58	0.22
16	M240901	1.16	0.26	0.22
20	M147501	1.19	-0.42	0.23
Block M11
1	D2437MS	0.57	-2.52
3	M391901	0.69	-1.70
5	M243801	1.09	-1.41	0.11
7	M342701	1.26	-0.97	0.20
10	M3683MS	0.97	-0.81
12	M3702CL	0.75	0.91		0.87	-0.87
Block M12
1	M243101	1.00	-2.59	0.21
4	M244601	0.98	-1.79	0.10
6	M368101	0.75	-1.31	0.12
8	M229901	0.93	-0.81	0.27
11	M392401	1.06	-0.82	0.14
13	M3776MS	0.83	-1.08
16	M397901	1.05	1.62
Block M13
1	M399701	0.99	-1.84	0.14
5	M4001MS	1.07	-0.09
9	M401201	0.68	0.49
11	M247201	1.11	0.34	0.21
13	M4194MS	0.67	1.18
16	M3933CL	0.85	1.83		-0.16	-0.18	0.33
Block M14
1	M246401	0.68	-2.45	0.16
3	M398101	1.03	-0.47
8	M372001	1.58	0.11	0.18
10	M3789MS	0.72	0.22
12	M4023CL	0.73	0.92		-0.01	-0.58	0.59
15	M402601	1.25	1.21	0.26
17	M3983MS	0.79	1.40		-0.61	0.61

Last updated 05 December 2023 (SK)

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​​​NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 4 Mathematics Combined National and State Assessment, by Block and Item: 2019

NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 4 Mathematics Combined National and State Assessment, by Block and Item: 2019