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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 Data Analysis, Statistics, and Probability Scale, Grade 12 Mathematics National Main Assessment, by Item and Block: 2009

NAEP Technical DocumentationIRT parameters for items in the data analysis, statistics, and probability 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 2 M188701 1.08 -0.09 0.29 † † † †
4 M182401 2.11 1.31 0.18 † † † †
12 M1867CL 0.38 -0.34 † -0.08 1.40 -0.68 -0.64
14 M175901 0.72 3.41 † 1.03 -1.03 † †
M2 3 M196801 0.66 1.07 0.24 † † † †
4 M196802 0.67 0.19 † † † † †
8 M194801 0.45 -0.07 0.17 † † † †
M3 3 M197201 0.57 -0.27 0.21 † † † †
13 M195401 0.19 0.21 0.23 † † † †
M4 2 M1842CL 0.81 -1.35 † 1.19 -1.19 † †
3 M1843CL 0.83 1.34 † 0.06 -0.06 † †
4 M184207 0.70 1.86 † -0.16 0.16 † †
9 M179101 0.72 0.27 0.20 † † † †
M5 1 M183001 0.97 -0.64 0.18 † † † †
5 M183201 1.05 0.75 0.23 † † † †
10 M188101 0.96 0.03 0.17 † † † †
M6 2 M198101 1.09 0.30 0.22 † † † †
8 M175601 0.58 -0.36 † -1.19 1.19 † †
11 M177201 1.39 0.37 0.25 † † † †
12 M177202 0.85 1.23 † † † † †
M7 1 M198301 0.75 -0.26 0.15 † † † †
9 M198501 0.63 -0.02 0.23 † † † †
12 M188301 1.28 1.49 † † † † †
M8 5 M189301 1.31 0.17 0.27 † † † †
8 M189501 0.60 0.83 0.20 † † † †
10 M187101 1.34 0.45 0.28 † † † †
12 M178601 1.31 0.34 0.10 † † † †
M9 3 M198701 0.68 0.19 † † † † †
4 M177601 0.97 1.44 0.31 † † † †
7 M181901 1.32 0.35 0.21 † † † †
11 M193601 1.76 -0.31 0.17 † † † †
M10 2 M189601 1.12 0.05 0.28 † † † †
4 M194201 0.86 -0.08 0.20 † † † †
5 M178401 1.18 0.00 0.18 † † † †
M11 5 M181201 0.64 -0.76 † † † † †
6 M181202 1.11 0.76 † 1.77 -1.77 † †
7 M181203 0.47 3.69 † † † † †
M12 4 M175301 0.81 -0.05 0.16 † † † †
5 M199901 0.93 0.35 0.19 † † † †
M13 7 M011631 0.55 -1.28 0.19 † † † †
11 M070901 0.98 0.59 0.11 † † † †
13 M094801 1.02 1.40 0.12 † † † †
M14 5 M071602 0.72 0.50 † 0.15 -0.15 † †
7 M0716CL 0.52 0.14 † -0.58 -0.23 0.53 0.28
15 M057001 1.50 1.40 † † † † †
18 M071801 0.29 -0.26 † -3.53 2.82 0.71 †
M15 8 M021501 1.28 -0.52 † † † † †
9 M021502 1.16 -1.08 † † † † †
15 M094601 1.88 2.11 0.05 † † † †
M16 3 M134301 0.76 0.29 0.22 † † † †
5 M129801 0.68 -1.33 0.21 † † † †
7 M130601 1.15 0.52 0.23 † † † †
15 M132201 0.97 1.18 † 0.50 -0.50 † †
M17 8 M134801 0.66 1.17 0.38 † † † †
10 M134001 0.71 -0.33 0.12 † † † †
17 M076901 0.43 1.93 † -2.35 2.35 † †
M18 4 M0732CL 0.55 -1.63 † 1.15 0.29 -0.56 -0.87
8 M092201 1.12 -0.37 0.13 † † † †
13 M092601 0.92 0.71 † -0.28 0.28 † †
16 M052801 2.10 2.09 0.23 † † † †
M19 3 M013131 0.62 0.13 † † † † †
8 M073701 1.12 0.00 0.32 † † † †
11 M076301 0.99 0.61 0.16 † † † †
M20 3 M070801 0.45 -0.06 † -0.31 0.31 † †
11 M059701 0.88 2.09 0.36 † † † †
12 M059702 0.68 1.30 † † † † †
M21 6 M126001 1.17 0.85 † † † † †
7 M131401 0.71 0.39 0.27 † † † †
12 M132001 0.62 -0.39 0.20 † † † †
18 M129001 0.71 0.56 † 1.57 -0.32 -0.34 -0.92
M22 2 M128801 0.48 0.94 0.22 † † † †
9 M130001 1.90 1.32 0.15 † † † †
10 M127901 0.51 -0.13 0.17 † † † †
16 M127301 0.72 3.40 0.11 † † † †
Last updated 03 June 2016 (GF)
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