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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 8 Mathematics National Main 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 national main assessment (accommodations not permitted [R2]): 2000
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 2 M093101 0.82 0.08 0.18
M4 1 M017401 0.20 -6.29 0.26
4 M017701 1.03 -0.80 0.25
6 M017901 1.42 -0.70 0.27
9 M018201 0.58 -0.73 0.12
11 M018401 1.07 -0.86 0.30
12 M018501 1.52 0.49 0.25
13 M018601 0.87 0.87 0.15
M5 5 M066401 0.59 -0.19 0.20
M6 4 M020001 0.69 -0.42 0.00
5 M020101 1.14 -0.52 0.00
9 M020501 0.82 -0.38 0.00
M7 3 M067801 0.82 -1.32 0.20
M8 3 M012431 0.91 -0.27 0.10
4 M012531 0.75 0.49 0.10
8 M012931 1.25 0.85 0.22
12 N202831 0.68 -2.09 0.24
13 M011131 0.66 -1.33 0.26
15 M013431 1.43 0.12 0.21
16 M013531 1.03 1.10 0.12
17 M013631 1.33 0.54 0.05
M9 2 M052401 0.89 0.79 0.00
7 M052901 0.67 -0.07 0.00
8 M053001 0.96 1.09 0.00
M10 6 M086001 1.02 1.06 0.21
M11 1 M046001 0.36 -3.24 0.00
4 M046301 0.96 -1.21 0.26
6 M046501 0.97 -0.29 0.29
9 M046801 0.59 -1.33 0.00
10 M046901 0.98 -1.59 0.00
M12 1 M091501 1.19 0.47 0.18
3 M091601 0.89 0.10 0.17
8 M091901 0.50 -0.13 0.15
M13 1 M051201 0.51 -1.69 0.00
4 M051501 1.07 1.57 0.23
5 M051601 0.68 -0.96 0.00
8 M051901 1.59 0.59 0.08
M14 3 M073001 1.38 0.02 0.18
4 M073101 0.87 0.91 0.36
7 M073402 1.95 1.60 0.17
9 M073601 0.53 1.17 0.00 -0.17 -0.42 0.59
9 M073602 0.72 1.20 0.48
M15 8 M075901 0.65 0.92 0.20
† 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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