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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 8 Mathematics State Assessment (Accommodations Not Permitted [R2]): 2000
NAEP Technical DocumentationIRT parameters for the algebra and functions scale, by block and item, grade 8 mathematics state assessment (accommodations not permitted [R2]): 2000
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 1 M093001 0.97 1.09 0.22 † † † †
4 M093301 1.16 0.57 0.13 † † † †
6A M093501 0.65 0.77 0.00 0.34 -0.34 † †
8 M093701 0.87 1.99 0.12 † † † †
M4 10 M018301 0.90 -0.77 0.10 † † † †
14 M018701 1.47 0.16 0.27 † † † †
15 M018801 0.98 0.36 0.27 † † † †
20 M019301 1.50 0.91 0.19 † † † †
M5 1 M067001 1.07 0.49 0.28 † † † †
3 M066201 0.83 -1.51 0.08 † † † †
4A M066301 0.68 -1.99 0.00 † † † †
6A M066501 0.52 -0.65 0.00 -0.24 0.24 † †
7A M066601 0.36 -0.94 0.00 -0.66 0.66 † †
8 M067202 2.22 0.98 0.49 † † † †
8A M067201 0.51 1.00 0.00 -1.57 1.57 † †
9 M067301 1.12 0.40 0.16 † † † †
10 M067401 0.90 1.16 0.14 † † † †
M6 1A M019701 0.45 -2.22 0.00 † † † †
8A M020401 0.61 -0.63 0.00 † † † †
14A M021201 0.83 0.31 0.00 † † † †
M7 1 M068101 0.86 -0.81 0.09 † † † †
2 M067701 0.73 -1.66 0.10 † † † †
4A M067901 0.68 -0.61 0.00 -1.36 1.36 † †
M8 1A M012231 0.49 -3.44 0.17 † † † †
11A M013231 1.02 1.47 0.14 † † † †
18A M013731 1.14 1.14 0.13 † † † †
M9 3 M052501 0.96 0.92 0.16 † † † †
M10 7 M086101 0.90 0.83 0.22 † † † †
8 M086201 1.13 0.72 0.23 † † † †
9A M086301 0.56 -0.02 0.00 1.19 1.65 -1.36 †
M11 15 M047601 1.39 0.27 0.11 † † † †
16 M047701 1.36 1.38 0.26 † † † †
M12 5 M091701 1.16 -0.61 0.22 † † † †
7 M091801 1.07 0.74 0.13 † † † †
9A M092001 0.24 1.52 0.00 -0.94 -2.46 0.20 †
M13 6 M051701 1.40 0.43 0.21 † † † †
10A M052101 0.96 0.29 0.00 † † † †
M15 2A M075301 1.12 -0.29 0.00 1.33 -1.33 † †
4A M075501 1.36 0.17 0.17 † † † †
6E M0757CL 0.78 0.96 0.00 † † † †
† 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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