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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 State Assessment (Accommodations Not Permitted [R2]): 2000
NAEP Technical DocumentationIRT parameters algebra and functions scale, by block and item, grade 4 mathematics state assessment (accommodations not permitted [R2]): 2000
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 8 M039701 0.91 1.04 0.16
M4 10 M018301 1.39 0.84 0.12
14 M018701 1.48 1.93 0.17
M5 3 M066201 1.19 0.09 0.21
4A M066301 0.41 -0.30 0.00 -2.19 2.19
6A M066501 0.71 0.68 0.00 -0.36 0.36
7A M066601 0.69 0.75 0.00 0.24 -0.24
M6 1A M019701 0.55 -0.46 0.00
8A M020401 0.57 0.05 0.00
M7 2 M067701 0.93 -0.13 0.20
4A M067901 0.53 0.94 0.00 -1.93 1.93
M8 4A M010331 1.14 0.33 0.39
M9 6 M091001 0.66 -0.50 0.14
7A M091101 0.40 0.03 0.00 -0.23 0.23
M12 5A M086801 0.66 -0.41 0.20
9A M087201 1.33 1.93 0.25
M13 12A M043501 0.31 1.16 0.00 0.74 0.07 -0.08
M14 4A M072201 0.39 -0.57 0.00 -8.13 8.13
5A M072202 0.88 0.67 0.00 -0.17 0.17
10A M072701 0.34 1.81 0.00 0.27 0.02 -0.29
M15 3 M074401 0.85 0.82 0.28
† 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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