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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 Algebra and Functions Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2005

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

Block	Item	NAEP ID	aj	bj	cj	dj1	dj2
† 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, 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	10	M039701	0.97	0.70	0.18	†	†
	13	M066201	1.01	-0.28	0.18	†	†
M4	3	M067701	0.77	-0.80	0.13	†	†
	10	M066601	0.57	0.59	†	0.27	-0.27
	12	M068002	0.56	0.28	†	-0.28	0.28
M5	7	M019701	0.60	-0.85	0.00	†	†
	12	M066501	0.69	0.35	†	-0.45	0.45
M6	4	M135901	0.71	-0.94	0.15	†	†
	10	M136501	0.86	-0.29	0.00	†	†
	16	M137101	0.98	1.58	0.16	†	†
M7	4	M139101	0.57	-1.16	0.20	†	†
	12	M139901	1.28	1.71	0.11	†	†
M8	14	M087201	1.10	1.67	0.26	†	†
M9	5	M086801	0.58	-1.36	0.19	†	†
	17	M074401	0.62	0.63	0.14	†	†
M10	2	M137301	0.85	-1.05	0.21	†	†
	8	M137901	0.58	-0.72	0.14	†	†
	13	M138401	0.61	0.64	†	0.55	-0.55
M11	3	M095901	0.93	0.49	0.23	†	†
M12	6	M100201	0.66	-0.73	0.00	†	†
	12	M100801	0.97	0.52	0.39	†	†
	14	M101001	1.55	1.59	0.15	†	†

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