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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 National Main Assessment (Accommodations Not Permitted [R2]): 2000
NAEP Technical DocumentationIRT parameters for the algebra and functions scale, by block and item, grade 8 mathematics national main assessment (accommodations not permitted [R2]): 2000
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 1 M093001 0.70 1.07 0.20 † † † †
4 M093301 1.15 0.58 0.11 † † † †
6 M093501 0.62 0.90 0.00 0.35 -0.35 † †
8 M093701 0.89 1.99 0.11 † † † †
M4 10 M018301 0.86 -0.75 0.13 † † † †
14 M018701 1.48 0.10 0.24 † † † †
15 M018801 1.14 0.42 0.28 † † † †
20 M019301 1.29 0.80 0.17 † † † †
M5 1 M067001 1.07 0.55 0.31 † † † †
3 M066201 0.95 -1.24 0.19 † † † †
4 M066301 0.58 -2.37 0.00 † † † †
6 M066501 0.53 -0.63 0.00 -0.17 0.17 † †
7 M066601 0.34 -1.04 0.00 -0.76 0.76 † †
8 M067201 0.54 0.87 0.00 -1.62 1.62 † †
8 M067202 1.88 0.76 0.43 † † † †
9 M067301 0.97 0.35 0.11 † † † †
10 M067401 0.95 1.17 0.16 † † † †
M6 1 M019701 0.41 -2.46 0.00 † † † †
8 M020401 0.62 -0.55 0.00 † † † †
14 M021201 0.82 0.31 0.00 † † † †
M7 1 M068101 0.85 -0.79 0.15 † † † †
2 M067701 0.75 -1.66 0.14 † † † †
4 M067901 0.60 -0.64 0.00 -1.46 1.46 † †
M8 1 M012231 0.62 -3.04 0.17 † † † †
11 M013231 0.95 1.49 0.12 † † † †
18 M013731 1.12 1.19 0.13 † † † †
M9 3 M052501 0.81 0.90 0.11 † † † †
M10 7 M086101 0.70 0.74 0.21 † † † †
8 M086201 1.18 0.62 0.25 † † † †
9 M086301 0.49 0.01 0.00 1.16 1.85 -1.47 -1.54
M11 15 M047601 1.41 0.18 0.11 † † † †
16 M047701 0.97 1.53 0.25 † † † †
M12 5 M091701 1.18 -0.74 0.21 † † † †
7 M091801 1.11 0.72 0.14 † † † †
9 M092001 0.23 1.59 0.00 -0.93 -2.28 0.34 2.86
M13 6 M051701 1.68 0.35 0.22 † † † †
10 M052101 0.93 0.36 0.00 † † † †
M15 2 M075301 1.22 -0.28 0.00 1.27 -1.27 † †
4 M075501 1.37 0.18 0.16 † † † †
6 M0757CL 0.90 0.86 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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