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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 National Main Assessment (Accommodations Permitted [R3]): 2000
NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations scale, by block and item, grade 4 mathematics national main assessment (accommodations permitted [R3]): 2000
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 1 M039001 0.85 -1.62 0.16
3 M039201 0.75 -0.43 0.00
10 M039901 0.89 1.60 0.14
13 M040201 0.92 1.49 0.00
M4 1 M017401 0.32 -3.73 0.18
4 M017701 0.94 0.42 0.12
6 M017901 1.38 0.55 0.12
9 M018201 1.01 1.15 0.14
11 M018401 1.54 0.70 0.22
12 M018501 1.51 2.54 0.24
13 M018601 0.89 2.10 0.16
M5 2 M066101 0.70 -1.06 0.16
5 M066401 0.58 1.26 0.14
8 M066701 0.59 -0.29 0.00 -0.31 0.31
9 M066801 0.45 -0.04 0.00 -2.49 2.49
M6 4 M020001 1.11 -0.31 0.00
5 M020101 1.05 1.12 0.00
9 M020501 0.72 0.92 0.00
10 N277903 0.48 -1.83 0.00
M7 3 M067801 1.29 0.91 0.15
5 M068001 0.73 0.58 0.00
6 M068002 0.66 0.47 0.00 -0.17 0.17
M8 2 M010131 0.37 -2.72 0.19
3 M010231 0.54 -0.98 0.15
5 M010431 0.68 0.09 0.18
6 M010531 0.52 1.65 0.16
7 M010631 0.27 -2.13 0.00
9 M010831 1.02 0.11 0.18
12 N202831 0.75 -0.80 0.19
13 M011131 0.77 -0.10 0.18
14 N240031 1.51 0.27 0.13
M9 2 M090601 0.69 -0.59 0.22
3 M090701 0.74 -0.83 0.16
4 M090801 0.67 -0.29 0.13
M11 1 M046001 0.56 -1.26 0.00
4 M046301 1.30 0.62 0.25
6 M046501 0.62 1.28 0.26
9 M046801 1.08 0.49 0.00
10 M046901 0.89 0.26 0.00
16 M047501 0.47 -1.01 0.15
M12 3 M086601 0.52 -0.79 0.00 -0.61 0.61
4 M086701 1.12 -0.53 0.13
7 M087001 0.58 0.31 0.00 -0.08 0.08
8 M087101 1.43 1.29 0.26
10 M087301 0.57 1.57 0.00 0.18 -1.37 0.52 0.67
M13 1 M042601 0.75 -0.75 0.15
4 M042901 0.57 0.75 0.23
5 M043001 0.67 -1.03 0.22
8 M043301 0.67 0.76 0.00
M14 1 M071901 0.62 -0.21 0.16
2 M072001 0.59 -0.39 0.15
7 M072401 0.74 0.37 0.00 0.25 -0.25
8 M072501 0.73 1.38 0.00 -0.03 0.03
9 M072601 0.48 1.55 0.00 -1.21 1.21
M15 5 M074601 0.75 0.64 0.28
6 M074701 0.89 -0.55 0.00
9 M075001 0.69 1.23 0.00 -1.11 1.11
10 M075101 0.53 0.45 0.00 2.03 -0.43 -1.12 -0.49
† 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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