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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment Item Response Theory Parameters → Mathematics Assessment Item Response Theory Parameters → IRT Parameters for the Number Sense, Properties, and Operations Scale, by Block and Item, Grade 8 Mathematics Combined National and State Main Assessment: 2003
NAEP Technical DocumentationIRT parameters for items in the number sense, properties, and operations scale, by block and item, grade 8 mathematics combined national and state main assessment: 2003
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 8 M066401 0.72 -0.41 0.14 † † † †
9 M020101 1.27 -0.67 0.00 † † † †
16 M086001 0.93 1.03 0.19 † † † †
17 M051901 1.84 0.59 0.08 † † † †
M4 1 M046001 0.51 -2.83 0.00 † † † †
5 M046901 0.88 -1.82 0.00 † † † †
8 M046801 0.65 -1.36 0.00 † † † †
9 M067801 0.87 -1.65 0.06 † † † †
18 M053001 0.73 1.97 0.00 † † † †
M5 7 M020001 0.72 -0.49 0.00 † † † †
8 M046301 0.89 -1.07 0.28 † † † †
10 M046501 0.92 -0.23 0.33 † † † †
16 M051501 1.20 1.22 0.20 † † † †
M6 1 M017401 0.25 -5.16 0.19 † † † †
2 N202831 0.75 -2.58 0.25 † † † †
7 M018201 0.52 -1.21 0.03 † † † †
9 M017701 1.00 -1.01 0.16 † † † †
11 M018401 1.11 -1.03 0.24 † † † †
12 M017901 1.15 -0.93 0.15 † † † †
16 M020501 0.72 -0.62 0.00 † † † †
17 M018501 1.64 0.34 0.26 † † † †
19 M018601 0.78 0.90 0.12 † † † †
M7 2 M011131 0.79 -1.00 0.43 † † † †
6 M0734CL 0.26 1.49 † -5.51 5.51 † †
9 M012531 0.72 0.49 0.16 † † † †
11 M012931 1.28 0.57 0.22 † † † †
16 M075901 0.53 0.95 0.14 † † † †
M8 3 M073001 1.36 -0.10 0.14 † † † †
5 M073101 0.93 0.76 0.36 † † † †
14 M012431 0.81 -0.07 0.12 † † † †
15 M091901 0.56 0.05 0.19 † † † †
19 M073601 0.58 1.13 † -0.13 -0.24 0.38 -0.01
M9 1 M013431 0.96 -0.31 0.09 † † † †
6 M091501 1.38 0.46 0.19 † † † †
7 M091601 1.12 0.21 0.24 † † † †
9 M052401 0.65 0.36 0.00 † † † †
12 M013631 1.59 0.29 0.06 † † † †
15 M013531 0.70 1.05 0.08 † † † †
M10 1 M051201 0.64 -1.23 0.00 † † † †
2 M051601 0.87 -0.73 0.00 † † † †
5 M052901 0.68 -0.08 0.00 † † † †
10 M093101 1.05 0.07 0.19 † † † †
M11 1 M105601 0.93 -0.03 0.16 † † † †
3 M105901 0.65 -1.94 0.20 † † † †
5 M106101 0.81 -1.13 0.16 † † † †
9 M106501 1.15 -0.26 0.26 † † † †
19 M107601 1.56 0.56 0.07 † † † †
M12 1 M109801 0.96 -0.38 0.14 † † † †
11 M110901 1.34 1.12 0.12 † † † †
12 M111001 0.76 0.85 0.16 † † † †
18 M111801 0.52 -0.26 † -0.46 0.46 † †
† Not applicable; c parameters are not estimated for generalized partial credit models.
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. For item j, dji may not sum to zero because of rounding.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2003 Mathematics Assessment.
Last updated 16 February 2009 (GF)

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