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. |
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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 |