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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 Permitted [R3]): 2000
NAEP Technical DocumentationIRT parameters for the algebra and functions scale, by block and item, grade 8 mathematics state assessment (accommodations permitted [R3]): 2000
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 1 M093001 1.00 1.11 0.22 † † † †
4 M093301 1.18 0.59 0.12 † † † †
6A M093501 0.67 0.80 0.00 0.32 -0.32 † †
8 M093701 1.00 1.96 0.14 † † † †
M4 10 M018301 0.93 -0.70 0.10 † † † †
14 M018701 1.45 0.18 0.26 † † † †
15 M018801 1.00 0.38 0.26 † † † †
20 M019301 1.53 0.93 0.20 † † † †
M5 1 M067001 1.13 0.53 0.29 † † † †
3 M066201 0.85 -1.37 0.11 † † † †
4A M066301 0.69 -1.90 0.00 † † † †
6A M066501 0.54 -0.57 0.00 -0.23 0.23 † †
7A M066601 0.37 -0.86 0.00 -0.58 0.58 † †
8 M067202 2.31 1.01 0.50 † † † †
8A M067201 0.51 1.03 0.00 -1.57 1.57 † †
9 M067301 1.16 0.43 0.15 † † † †
10 M067401 0.96 1.18 0.15 † † † †
M6 1A M019701 0.47 -2.11 0.00 † † † †
8A M020401 0.61 -0.57 0.00 † † † †
14A M021201 0.87 0.35 0.00 † † † †
M7 1 M068101 0.89 -0.77 0.09 † † † †
2 M067701 0.75 -1.50 0.12 † † † †
4A M067901 0.68 -0.57 0.00 -1.37 1.37 † †
M8 1A M012231 0.51 -3.24 0.16 † † † †
11A M013231 0.98 1.48 0.13 † † † †
18A M013731 1.16 1.14 0.12 † † † †
M9 3 M052501 1.10 0.99 0.19 † † † †
M10 7 M086101 0.92 0.88 0.23 † † † †
8 M086201 1.17 0.76 0.23 † † † †
9A M086301 0.57 0.01 0.00 1.17 1.62 -1.36 †
M11 15 M047601 1.44 0.30 0.10 † † † †
16 M047701 1.36 1.38 0.26 † † † †
M12 5 M091701 1.20 -0.54 0.20 † † † †
7 M091801 1.05 0.75 0.11 † † † †
9A M092001 0.25 1.52 0.00 -0.95 -2.33 0.16 †
M13 6 M051701 1.47 0.47 0.22 † † † †
10A M052101 0.99 0.34 0.00 † † † †
M15 2A M075301 1.15 -0.23 0.00 1.29 -1.29 † †
4A M075501 1.40 0.20 0.15 † † † †
6E M0757CL 0.80 0.98 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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