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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 Measurement and Geometry Scale, Grade 12 Mathematics National Main Assessment, by Item and Block: 2009

NAEP Technical DocumentationIRT parameters for items in the measurement and geometry 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 1 M192801 0.87 -1.59 0.19
7 M178001 1.02 1.30 -0.32 0.32
8 M196601 0.95 -0.23 0.19
M2 2 M175801 1.74 1.44 0.37
6 M196901 0.72 -0.19 0.16
10 M176801 0.83 1.54 0.12
12 M195001 1.03 1.46 -0.64 0.64
M3 4 M197301 0.62 -0.02 0.18
5 M197302 0.75 -0.04 0.14
6 M197303 1.33 1.65
7 M197304 1.37 1.39
10 M1975CL 0.85 1.38 1.49 -0.75 -1.08 0.33
M4 1 M184201 1.22 0.78
7 M174901 1.54 1.47 0.13
11 M174801 1.33 2.57 0.25 -0.25
13 M180101 1.91 2.03 0.15
M5 4 M194501 0.24 0.71 0.21
7 M185702 2.72 1.42 0.10
8 M185703 1.12 1.46 0.44 -1.64 0.63 0.56
11 M187701 0.73 0.79 -0.54 0.54
M6 6 M183401 1.41 1.83 -0.48 0.48
9 M175001 0.85 -0.30 0.26
10 M175002 0.88 1.63 -0.44 1.97 0.94 -2.47
13 M182201 2.91 2.15 0.21
M7 2 M191501 1.41 -0.44 0.16
4 M195501 0.82 0.02 0.20
7 M180201 0.76 2.30 -1.03 1.25 0.52 -0.75
11 M191201 2.01 1.11 0.18
13 M191401 0.71 0.97 0.28 -0.28
M8 2 M193801 0.93 -0.68 0.23
4 M198601 1.94 1.22 0.09
6 M188201 0.83 1.55 -0.95 0.97 -0.83 0.81
11 M1943CL 1.05 0.68 0.09 -0.09
13 M189001 0.59 1.55 1.81 -1.81
M9 1 M192701 0.87 0.52 0.19
5 M190501 0.98 0.90 0.13
8 M191901 0.92 1.16 0.04 -0.69 0.35 0.30
12 M198901 1.19 0.97 0.74 -0.74
M10 3 M178501 0.86 1.58 -1.37 1.37
6 M191701 0.81 0.49 0.26 -0.26
12 M199401 0.92 0.51 0.31
13 M1897CL 0.38 2.18 0.09 -0.28 -0.05 0.25
M11 2 M199501 1.23 0.77 0.28
9 M199601 1.08 0.23 0.22
11 M183801 1.06 1.84 0.15
14 M176601 1.20 1.15 0.16
M12 3 M186001 1.00 0.30
8 M200001 0.51 -0.35 0.18
11 M194001 0.70 1.95 -0.18 0.18
13 M185001 2.30 1.38 0.14
M13 1 M095501 0.92 0.62 0.20
2 M095601 1.10 0.34 0.08
3 M095101 1.64 0.83 0.19
4 M095301 0.73 0.79 -0.24 0.24
6 M056001 0.96 -1.03 0.10
10 M011331 1.24 0.01 0.16
M14 1 M071501 1.10 -1.09 0.15
2 M071502 0.61 0.20 -1.36 1.36
8 M058701 1.02 -1.39 0.21
12 M058901 0.74 -0.27
13 M056701 1.65 1.39 0.17
M15 1 M093901 0.86 0.18 0.09
2 M094001 0.84 -0.08 0.30
3 M094201 0.62 -0.17 0.32 0.09 -0.40
4 M094301 0.91 0.82 0.67 -0.67
6 M058501 0.63 -0.29 0.09
10 M094401 1.02 -0.75 0.16
14 M094101 1.87 1.99 0.29
16 M059501 1.23 1.76 0.28
M16 2 M127601 1.58 0.69 0.31
6 M131701 0.48 0.52 0.20
9 M133201 0.83 2.05 0.04
10 M127201 1.36 0.15 0.16
13 M021801 1.60 1.29
17 M092801 1.48 1.43 0.21
M17 1 M125801 0.84 -0.80 0.28
2 M131101 0.67 -0.05 0.24
5 M134501 1.20 0.92 0.14
9 M128101 0.89 -0.43 0.13
12 M133501 1.35 1.10 0.27
16 M073901 0.77 1.10 -1.43 1.43
M18 6 M073301 0.64 -0.59 0.14
7 M021001 0.65 -1.47
9 M020901 0.70 -0.99
11 M092401 0.87 -0.31 1.26 -1.26
12 M019201 1.66 0.78 0.18
19 M071301 1.07 1.61 0.11 -0.11
20 M076701 1.15 1.38 -0.03 0.03
M19 9 M011731 1.27 -0.08 0.22
10 M092301 0.71 0.25 0.36 -0.36
13 M071101 0.54 0.66 -1.48 1.48
15 M011931 2.68 1.61
18 M076801 0.79 1.56 -0.23 0.23
20 M092901 0.90 1.62 -0.02 0.02
M20 1 M055801 0.66 -1.56 0.21
4 M059101 0.94 -0.26 0.26
16 M053301 1.47 1.58
17 M059801 1.53 1.86
M21 2 M132801 0.92 -0.22 0.19
5 M131001 0.89 0.96 0.10
9 M126901 3.03 1.41 0.09
10 M129301 1.13 -0.31 0.19
14 M126201 0.91 -0.22 0.05
16 M126801 0.91 0.35 0.30
M22 1 M129101 0.75 0.55 0.20
4 M128601 1.01 -0.76 0.12
7 M132601 1.03 -1.11 0.20
8 M128401 1.08 -1.23 0.15
15 M135401 1.56 1.11 0.28
18 M135501 0.60 -0.06 1.40 0.01 -0.79 -0.62

Last updated 03 June 2016 (GF)