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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, Grade 8 Mathematics State Assessment (Accommodations Not Permitted [R2]): 2000
NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations 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 2 M093101 1.21 0.31 0.25
M4 1 M017401 0.24 -5.28 0.23
4 M017701 0.88 -1.08 0.14
6 M017901 1.13 -0.93 0.11
9 M018201 0.56 -0.71 0.08
11 M018401 1.18 -0.74 0.30
12 M018501 1.99 0.51 0.25
13 M018601 0.70 1.00 0.13
M5 5 M066401 0.74 -0.06 0.21
M6 4A M020001 0.70 -0.29 0.00
5A M020101 1.29 -0.42 0.00
9A M020501 0.79 -0.38 0.00
M7 3 M067801 0.85 -1.28 0.21
M8 3A M012431 0.90 -0.18 0.15
4A M012531 0.78 0.53 0.11
8A M012931 1.17 0.81 0.23
12A N202831 0.77 -1.74 0.33
13A M011131 0.65 -1.27 0.25
15A M013431 1.18 0.02 0.17
16A M013531 1.11 1.13 0.12
17A M013631 1.71 0.51 0.07
M9 2A M052401 0.88 0.88 0.00
7A M052901 0.72 0.01 0.00
8A M053001 0.89 1.28 0.00
M10 6 M086001 1.35 1.16 0.22
M11 1A M046001 0.42 -2.71 0.00
4 M046301 1.03 -1.03 0.22
6 M046501 1.02 -0.18 0.33
9A M046801 0.61 -1.18 0.00
10A M046901 0.94 -1.54 0.00
M12 1 M091501 1.35 0.59 0.19
3 M091601 1.05 0.38 0.23
8 M091901 0.47 -0.02 0.15
M13 1A M051201 0.54 -1.47 0.00
4 M051501 1.05 1.49 0.22
5A M051601 0.82 -0.65 0.00
8 M051901 1.75 0.66 0.09
M14 3A M073001 1.47 0.09 0.20
4A M073101 1.12 0.95 0.40
7 M073402 2.58 1.41 0.18
9 M073602 0.80 1.01 0.47
9A M073601 0.53 1.14 0.00 -0.33 -0.39 0.72
M15 8A M075901 0.65 1.07 0.19
† 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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