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Item | NAEP ID | a | b | c | d | d | ||
---|---|---|---|---|---|---|---|---|
Not applicable; c parameters are not estimated for the two-parameter logistic or generalized partial credit models, and d parameters are not estimated for the two-parameter or three-parameter logistic models. | ||||||||
For item j, a represents the discriminatory power of the item, b represents a location parameter related to item difficulty, c represents the guessing parameter, and d represents the category threshold parameter for category i. The c parameter value is assumed to be exactly zero and is not estimated for items scaled with the two-parameter logistic model. For item j, d may not sum to zero because of rounding. | ||||||||
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment. | ||||||||
Block M1 | ||||||||
2 | D2527MS | 0.56 | -2.75 | -0.35 | 0.35 | |||
6 | M252001 | 0.63 | -2.17 | |||||
10 | M413001 | 0.66 | 0.94 | 0.19 | ||||
13 | M4124MS | 0.78 | 0.73 | |||||
Block M2 | ||||||||
3 | M3674MS | 1.02 | -1.24 | |||||
6 | M3848MS | 0.52 | -0.06 | -1.84 | 1.84 | |||
8 | M3815MS | 0.40 | 2.29 | 0.03 | -0.03 | |||
10 | M383701 | 0.89 | 0.34 | 0.20 | ||||
12 | M386102 | 0.59 | 1.15 | -2.38 | 2.38 | |||
Block M3 | ||||||||
6 | M250301 | 1.25 | -0.71 | |||||
9 | M3808MS | 0.64 | -0.32 | 0.57 | -0.57 | |||
12 | M4050MS | 0.53 | 1.09 | 1.02 | -1.02 | |||
14 | M409401 | 2.51 | 1.57 | 0.20 | ||||
Block M4 | ||||||||
5 | M352101 | 1.13 | 0.30 | 0.21 | ||||
6 | M352301 | 0.64 | -0.21 | -1.45 | 1.45 | |||
7 | M350701 | 1.10 | 0.07 | 0.07 | ||||
13 | M352501 | 1.46 | 1.16 | 0.17 | ||||
17 | M236901 | 1.93 | 0.79 | 0.13 | ||||
19 | M351501 | 1.28 | 0.87 | 0.17 | ||||
Block M5 | ||||||||
3 | M222601 | 1.14 | -0.33 | 0.08 | ||||
5 | M222801 | 1.50 | 0.29 | 0.07 | ||||
8 | M223101 | 0.57 | -0.59 | -1.98 | 1.98 | |||
11 | M152101 | 0.78 | 0.90 | 0.19 | ||||
15 | M223801 | 0.47 | -0.21 | -0.54 | 0.54 | |||
19 | M222101 | 1.27 | 2.23 | 0.20 | ||||
Block M6 | ||||||||
6 | M171001 | 0.92 | 1.37 | 0.33 | ||||
9 | M233601 | 0.41 | -0.37 | -1.97 | 1.97 | |||
11 | M164701 | 1.17 | 1.22 | 0.27 | ||||
14 | M165201 | 1.85 | 0.92 | 0.13 | ||||
16 | M104901 | 0.73 | 0.73 | |||||
19 | M348801 | 1.16 | 0.53 | 0.18 | ||||
Block M7 | ||||||||
7 | M234001 | 0.71 | -2.33 | |||||
10 | M232201 | 0.96 | -0.21 | 0.20 | ||||
12 | M232501 | 1.82 | 1.23 | 0.08 | ||||
14 | M151901 | 0.82 | 0.46 | 0.07 | ||||
18 | M221801 | 0.93 | 0.41 | 0.21 | ||||
19 | M151701 | 1.37 | -0.02 | 0.21 | ||||
21 | M221601 | 1.51 | 1.02 | 0.18 | ||||
Block M8 | ||||||||
1 | M3863MS | 0.73 | -1.00 | |||||
3 | M3892MS | 0.48 | -0.89 | |||||
6 | M386701 | 1.09 | 0.52 | |||||
9 | M3874MS | 0.94 | 1.11 | |||||
12 | M3872MS | 0.89 | 0.17 | |||||
Block M9 | ||||||||
5 | M249601 | 0.71 | -0.73 | 0.09 | ||||
11 | M4201MS | 1.31 | 0.01 | |||||
16 | M3798MS | 0.57 | 1.94 | -0.16 | 0.16 | |||
Block M10 | ||||||||
5 | M238501 | 0.54 | -0.18 | 0.17 | ||||
7 | M235501 | 0.98 | -0.78 | |||||
13 | M234801 | 1.27 | -0.43 | 0.18 | ||||
15 | M237901 | 0.60 | 0.36 | -0.04 | 0.04 | |||
17 | M152201 | 1.25 | 0.57 | 0.15 | ||||
18 | M223401 | 0.27 | 1.08 | 0.13 | ||||
Block M11 | ||||||||
7 | M406301 | 0.64 | -0.94 | 0.06 | ||||
9 | M3795MS | 0.98 | 0.67 | |||||
12 | M406801 | 1.03 | 1.45 | 0.25 | ||||
14 | M384501 | 1.76 | 1.27 | 0.09 | ||||
Block M12 | ||||||||
1 | M3820MS | 0.53 | -2.01 | -1.48 | 1.48 | |||
3 | M252501 | 0.52 | -1.33 | 0.17 | ||||
8 | M407901 | 0.91 | -0.26 | 0.47 | -0.47 | |||
14 | M3803MS | 1.04 | 1.61 | |||||
Block M13 | ||||||||
3 | M4103CL | 1.08 | -0.85 | |||||
6 | M221301 | 0.98 | -0.29 | 0.21 | ||||
9 | M350201 | 0.95 | 0.04 | 0.16 | ||||
12 | M414001 | 0.78 | 1.43 | 0.21 | ||||
14 | M4118MS | 0.60 | 1.05 | 0.88 | -0.88 | |||
Block M14 | ||||||||
2 | M4136MS | 0.65 | -1.26 | |||||
5 | M253401 | 0.50 | -0.79 | 0.08 | ||||
8 | M250401 | 0.62 | -0.60 | 0.10 | ||||
10 | M404601 | 0.66 | 0.33 | 0.13 | ||||
16 | M3885MS | 1.08 | 1.42 |