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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 Algebra Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2017

NAEP Technical DocumentationIRT Parameters for Items in the Algebra Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2017

IRT parameters for items in the algebra subscale, grade 8 mathematics combined national and state assessment, by block and item: 2017
Block	Item	NAEP ID	a_j	b_j	c_j	d_j1	d_j2	d_j3	d_j4
M1	4	M382801	1.15	0.31	0.09	†	†	†	†
	8	M3830MS	0.81	0.33	†	-0.76	0.76	†	†
	11	M384501	1.66	1.29	0.09	†	†	†	†
	13	M3855MS	0.60	1.71	†	-1.97	1.97	†	†
M2	3	M3674MS	1.00	-1.34	†	†	†	†	†
	6	M3848MS	0.52	-0.07	†	-1.86	1.86	†	†
	8	M3815MS	0.67	1.56	†	†	†	†	†
	10	M383701	0.93	0.43	0.22	†	†	†	†
	12	M386102	0.55	1.13	†	-2.46	2.46	†	†
M3	4	M3825MS	0.84	0.05	†	†	†	†	†
	6	M3851MS	0.96	0.24	†	†	†	†	†
	11	M384202	0.49	1.50	†	-5.82	5.82	†	†
M4	5	M352101	1.05	0.28	0.20	†	†	†	†
	6	M352301	0.62	-0.26	†	-1.54	1.54	†	†
	7	M350701	1.15	0.09	0.11	†	†	†	†
	13	M352501	1.44	1.19	0.18	†	†	†	†
	17	M236901	1.83	0.76	0.12	†	†	†	†
	19	M351501	1.25	0.80	0.17	†	†	†	†
M5	3	M222601	1.07	-0.40	0.06	†	†	†	†
	5	M222801	1.46	0.24	0.06	†	†	†	†
	8	M223101	0.55	-0.59	†	-2.06	2.06	†	†
	11	M152101	0.70	0.89	0.18	†	†	†	†
	15	M223801	0.46	-0.24	†	-0.55	0.55	†	†
	19	M222101	1.24	2.22	0.20	†	†	†	†
M6	6	M171001	0.84	1.48	0.34	†	†	†	†
	9	M233601	0.42	-0.34	†	-1.92	1.92	†	†
	11	M164701	1.17	1.26	0.27	†	†	†	†
	14	M165201	1.71	0.92	0.12	†	†	†	†
	16	M104901	0.71	0.71	†	†	†	†	†
	19	M348801	1.13	0.58	0.19	†	†	†	†
M7	7	M234001	0.69	-2.35	†	†	†	†	†
	10	M232201	0.99	-0.13	0.24	†	†	†	†
	12	M232501	1.90	1.23	0.08	†	†	†	†
	14	M151901	0.83	0.41	0.07	†	†	†	†
	18	M221801	0.84	0.27	0.17	†	†	†	†
	19	M151701	1.18	-0.13	0.17	†	†	†	†
	21	M221601	1.41	0.95	0.18	†	†	†	†
M8	1	M3863MS	0.64	-1.02	†	†	†	†	†
	3	M3892MS	0.46	-0.92	†	†	†	†	†
	6	M386701	1.04	0.52	†	†	†	†	†
	9	M3874MS	0.92	1.12	†	†	†	†	†
	12	M3872MS	0.93	0.16	†	†	†	†	†
M9	7	M355301	0.33	-1.25	†	-2.29	2.29	†	†
	11	M355601	1.47	0.86	0.18	†	†	†	†
	13	M356901	1.35	0.93	†	†	†	†	†
	15	M238901	1.45	-0.23	0.12	†	†	†	†
	17	M350201	0.91	0.04	0.14	†	†	†	†
	19	M221301	0.88	-0.44	0.14	†	†	†	†
M10	5	M238501	0.52	-0.29	0.14	†	†	†	†
	7	M235501	0.96	-0.83	†	†	†	†	†
	13	M234801	1.11	-0.57	0.14	†	†	†	†
	15	M237901	0.59	0.35	†	0.01	-0.01	†	†
	17	M152201	1.23	0.59	0.17	†	†	†	†
	18	M223401	0.25	1.11	0.13	†	†	†	†
† Not applicable; c parameters are not estimated for the two-parameter logistic model or 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 assumed to be exactly zero and is not estimated 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), 2017 Mathematics Assessment.

Last updated 11 May 2022 (SK)

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