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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Assessment IRT Parameters → IRT Parameters for the Algebra and Functions Scale, by Block and Item, Grade 4 Mathematics National Main Assessment (Accommodations Permitted [R3]): 2000
NAEP Technical DocumentationIRT parameters for the algebra and functions scale, by block and item, grade 4 mathematics national main assessment (accommodations permitted [R3]): 2000
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 8 M039701 1.17 1.16 0.24
M4 10 M018301 0.96 0.90 0.12
M5 14 M018701 1.30 2.04 0.17
M6 3 M066201 1.00 0.02 0.25
M7 4 M066301 0.41 -0.35 0.00 -2.37 2.37
M8 6 M066501 0.61 0.74 0.00 -0.45 0.45
M9 7 M066601 0.53 0.86 0.00 0.12 -0.12
M10 1 M019701 0.54 -0.56 0.00
M11 8 M020401 0.61 0.06 0.00
M12 2 M067701 0.89 -0.20 0.20
M13 4 M067901 0.54 0.91 0.00 -1.90 1.90
M14 4 M010331 0.70 -0.15 0.24
M15 12 M043501 0.30 1.06 0.00 0.97 -0.18 0.06 -0.86
M16 4 M072201 0.44 -0.58 0.00 -5.88 5.88
M17 5 M072202 0.75 0.59 0.00 -0.22 0.22
M18 10 M072701 0.35 1.72 0.00 0.20 0.11 -0.30
M19 3 M074401 0.74 0.54 0.21
M20 6 M091001 0.71 -0.53 0.15
M21 7 M091101 0.40 -0.13 0.00 -0.25 0.25
M22 5 M086801 0.89 -0.40 0.16
M23 9 M087201 0.60 2.46 0.23
† Not applicable; the number of item parameters estimated depends upon the IRT model used for scaling.
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 or the generalized partial credit model.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2000 Mathematics Assessment.

Last updated 14 July 2008 (KL)

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