NAEP Analysis and Scaling - IRT Parameters for the Algebra and Functions Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2003

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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment Item Response Theory Parameters → Mathematics Assessment Item Response Theory Parameters → IRT Parameters for the Algebra and Functions Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2003

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: 2003
Block	Item	NAEP ID	a_j	b_j	c_j	d_j1	d_j2	d_j3	d_j4
M3	10	M039701	1.10	0.84	0.22	†	†	†	†
	13	M066201	0.99	-0.27	0.17	†	†	†	†
	18	M043501	0.32	1.10	†	1.02	0.00	-0.05	-0.98
M4	3	M067701	0.87	-0.67	0.15	†	†	†	†
M4	10	M066601	0.57	0.69	†	0.34	-0.34	†	†
M5	7	M019701	0.63	-0.70	0.00	†	†	†	†
	12	M066501	0.66	0.45	†	-0.47	0.47	†	†
	14	M066301	0.42	-0.32	†	-2.26	2.26	†	†
	15	M067901	0.70	0.42	†	-1.28	1.28	†	†
M6	8	M020401	0.44	-0.09	0.00	†	†	†	†
	13	M018301	1.05	0.65	0.09	†	†	†	†
	20	M018701	1.43	1.64	0.17	†	†	†	†
M7	5	M072201	0.78	-0.80	0.00	†	†	†	†
	6	M072202	0.84	0.48	†	-0.25	0.25	†	†
	20	M072701	0.38	1.27	†	0.36	-0.23	-0.12	†
M8	8	M010331	0.99	0.13	0.39	†	†	†	†
M8	14	M087201	0.95	1.66	0.23	†	†	†	†
M9	5	M086801	0.56	-1.17	0.24	†	†	†	†
M9	17	M074401	0.67	0.79	0.17	†	†	†	†
M10	8	M091001	0.67	-1.15	0.07	†	†	†	†
M10	10	M091101	0.36	-0.35	†	-0.23	0.23	†	†
M11	3	M095901	0.92	0.60	0.23	†	†	†	†
M12	6	M100201	0.63	-0.62	0.00	†	†	†	†
	12	M100801	0.93	0.56	0.38	†	†	†	†
	14	M101001	1.37	1.77	0.15	†	†	†	†
	17	M101401	0.71	-0.68	0.00	†	†	†	†
† Not applicable; c parameters are not estimated for generalized partial credit models. NOTE: For item j, a_j represents the discriminatory power of the item, b_j represents a location parameter related to item difficulty, c_j represents the guessing parameter, and d_ji 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, d_ji 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), 2003 Mathematics Assessment.

Last updated 16 February 2009 (GF)

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