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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 Number Sense, Properties, and Operations Scale, by Block and Item, Grade 4 Mathematics State Assessment (Accommodations Not Permitted [R2]): 2000
IRT parameters for the number sense, properties, and operations 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
M3 1 M039001 0.76 -1.55 0.14 † † †
3A M039201 0.82 -0.24 0.00 † † †
10 M039901 0.81 1.72 0.13 † † †
13A M040201 0.94 1.45 0.00 † † †
M4 1 M017401 0.39 -2.90 0.16 † † †
4 M017701 1.03 0.52 0.18 † † †
6 M017901 1.22 0.52 0.10 † † †
9 M018201 1.04 1.17 0.12 † † †
11 M018401 1.33 0.77 0.22 † † †
12 M018501 2.67 2.07 0.25 † † †
13 M018601 0.93 2.21 0.16 † † †
M5 2 M066101 0.71 -1.10 0.07 † † †
5 M066401 0.72 1.46 0.16 † † †
8A M066701 0.65 -0.23 0.00 -0.33 0.33 †
9A M066801 0.46 -0.01 0.00 -2.63 2.63 †
M6 4A M020001 1.09 -0.31 0.00 † † †
5A M020101 1.03 1.13 0.00 † † †
9A M020501 0.72 0.97 0.00 † † †
10A N277903 0.52 -1.69 0.00 † † †
M7 3 M067801 1.32 1.00 0.16 † † †
5A M068001 0.70 0.67 0.00 † † †
6A M068002 0.64 0.53 0.00 -0.05 0.05 †
M8 2A M010131 0.33 -2.94 0.19 † † †
3A M010231 0.54 -1.00 0.13 † † †
5A M010431 0.66 0.02 0.16 † † †
6A M010531 0.44 1.55 0.09 † † †
7A M010631 0.27 -2.15 0.00 † † †
9A M010831 1.01 0.06 0.13 † † †
12A N202831 0.79 -0.58 0.27 † † †
13A M011131 0.83 0.13 0.22 † † †
14A N240031 1.37 0.32 0.11 † † †
M9 2 M090601 0.74 -0.46 0.25 † † †
3 M090701 0.87 -0.70 0.18 † † †
4 M090801 0.65 -0.40 0.08 † † †
M11 1A M046001 0.57 -1.11 0.00 † † †
4 M046301 1.09 0.65 0.21 † † †
6 M046501 0.75 1.19 0.29 † † †
9A M046801 1.11 0.60 0.00 † † †
10A M046901 0.94 0.25 0.00 † † †
16 M047501 0.50 -0.88 0.17 † † †
M12 3A M086601 0.51 -0.75 0.00 -0.63 0.63 †
4A M086701 1.34 -0.28 0.22 † † †
7A M087001 0.62 0.36 0.00 -0.09 0.09 †
8A M087101 0.72 1.55 0.24 † † †
10A M087301 0.66 1.59 0.00 0.42 -1.24 0.39
M13 1 M042601 0.88 -0.62 0.19 † † †
4 M042901 0.58 0.75 0.19 † † †
5 M043001 0.82 -0.67 0.36 † † †
8A M043301 0.69 0.78 0.00 † † †
M14 1A M071901 0.68 -0.16 0.14 † † †
2A M072001 0.70 0.01 0.25 † † †
7A M072401 0.68 0.50 0.00 0.18 -0.18 †
8A M072501 0.76 1.38 0.00 0.02 -0.02 †
9A M072601 0.51 1.51 0.00 -1.21 1.21 †
M15 5 M074601 0.93 0.87 0.33 † † †
6A M074701 0.83 -0.53 0.00 † † †
9A M075001 0.70 1.21 0.00 -1.13 1.13 †
10A M075101 0.53 0.45 0.00 1.99 -0.54 -1.09
† 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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