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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → IRT Parameters for the Mathematics Assessments → IRT Parameters for Items in the Number Sense, Properties, and Operations Scale, Grade 12 Mathematics National Main Assessment, by Item and Block: 2009

NAEP Technical DocumentationIRT parameters for items in the number sense, properties, and operations scale, grade 12 mathematics national main assessment, by item and block: 2009
Block1 Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
1 Common blocks M13-M22 were previously named M3-M12 in 2005.
† Not applicable; c parameters are not estimated for generalized partial credit models, and d parameters are not estimated for two-parameter or three-parameter logistic 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 represents 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), 2009 Mathematics Assessment.
M1 6 M185901 1.74 1.48 0.16 † † † †
10 M183901 1.63 0.30 † † † † †
M2 1 M196701 0.61 0.02 0.28 † † † †
M3 2 M181701 0.65 -1.85 0.22 † † † †
9 M197401 1.61 0.15 0.30 † † † †
M4 5 M177001 1.18 -0.19 0.27 † † † †
12 M197801 1.60 0.69 0.25 † † † †
M5 2 M175701 1.33 0.73 0.25 † † † †
12 M180301 1.78 1.55 0.06 † † † †
M6 1 M182901 1.76 1.44 0.25 † † † †
M7 5 M180801 1.27 0.28 0.16 † † † †
M8 3 M193101 1.02 1.00 † † † † †
M9 6 M194101 1.54 0.55 0.16 † † † †
M10 1 M199001 0.96 -1.09 0.25 † † † †
M11 3 M180601 2.40 0.81 0.22 † † † †
8 M184401 2.09 0.64 0.23 † † † †
M12 1 M199701 0.74 -1.30 0.23 † † † †
9 M181801 2.44 0.91 † † † † †
14 M178701 0.71 2.42 † -0.05 -0.86 0.91 †
M13 8 M094901 1.18 -0.41 0.10 † † † †
9 M095001 0.63 -0.23 † -0.48 0.48 † †
14 M056801 1.67 0.89 † † † † †
M14 3 M071503 0.98 0.27 0.22 † † † †
4 M071601 1.09 0.00 0.26 † † † †
9 M059001 1.14 0.24 0.18 † † † †
14 M059601 1.78 1.04 0.10 † † † †
M15 5 M021401 1.17 -0.24 † † † † †
7 M094501 0.84 0.14 0.22 † † † †
11 M056601 1.38 0.95 0.11 † † † †
12 M056501 1.76 1.20 0.22 † † † †
M16 1 M130901 0.94 -1.04 0.29 † † † †
4 M131301 0.92 0.59 0.27 † † † †
M17 3 M076101 0.53 -1.83 † 0.95 -0.95 † †
6 M073801 0.82 0.41 † -1.07 1.07 † †
M18 1 M012231 0.77 -2.68 0.19 † † † †
2 M012431 0.62 -1.44 0.15 † † † †
3 M073001 1.05 -1.07 0.17 † † † †
5 M073101 0.72 -0.03 0.27 † † † †
14 M092501 0.71 1.29 0.35 † † † †
15 M071201 0.58 0.89 † -0.86 0.86 † †
21 M071401 0.36 1.52 † -4.65 1.11 0.30 3.24
M19 1 M059201 0.97 -1.09 0.21 † † † †
2 M052401 0.56 -0.36 † † † † †
7 M076201 0.87 0.27 0.35 † † † †
12 M074001 1.41 0.39 † 0.05 -0.05 † †
M20 2 M058601 1.11 -0.24 0.28 † † † †
M21 1 M125901 1.33 0.81 0.21 † † † †
3 M126301 1.05 -0.16 0.25 † † † †
M22 3 M134601 1.75 0.94 † † † † †
13 M135301 1.56 0.60 0.25 † † † †
Last updated 03 June 2016 (GF)
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