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Item | NAEP ID | a | b | c | d | d | 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 | ||||||||
1 | M252301 | 0.70 | -2.38 | 0.19 | ||||
14 | M3816CL | 0.50 | 0.77 | 0.78 | 0.18 | -3.52 | 2.56 | |
Block M2 | ||||||||
2 | M383501 | 0.71 | 0.55 | 0.18 | ||||
7 | M382902 | 0.46 | 0.44 | 0.45 | -0.45 | |||
14 | M3810MS | 1.19 | 0.11 | |||||
Block M3 | ||||||||
8 | M3797MS | 0.38 | -0.54 | -1.55 | 1.55 | |||
10 | M251601 | 1.19 | 0.22 | 0.10 | ||||
15 | M4086CL | 0.73 | 1.25 | 0.48 | 0.35 | -0.83 | ||
Block M4 | ||||||||
2 | M3519CL | 0.72 | -0.06 | -0.49 | 0.49 | |||
4 | M353001 | 0.64 | 0.61 | 0.29 | ||||
Block M5 | ||||||||
2 | M222501 | 0.97 | 0.07 | 0.16 | ||||
9 | M223201 | 0.83 | 1.76 | 0.27 | ||||
20 | M234601 | 1.07 | 0.02 | 0.09 | ||||
Block M6 | ||||||||
5 | M121801 | 0.79 | 0.60 | 0.48 | ||||
13 | M167301 | 1.47 | 0.76 | 0.20 | ||||
Block M7 | ||||||||
2 | M231401 | 0.84 | 0.80 | 0.46 | ||||
6 | M233101 | 1.07 | -0.47 | 0.19 | ||||
13 | M339601 | 0.66 | 0.32 | 0.16 | ||||
20 | M152401 | 1.14 | 0.77 | 0.07 | ||||
Block M8 | ||||||||
4 | M3878MS | 1.18 | -0.22 | |||||
14 | M3899MS | 0.33 | 5.22 | |||||
Block M9 | ||||||||
1 | M253101 | 1.05 | -1.71 | 0.21 | ||||
6 | M4199MS | 0.57 | -0.18 | |||||
15 | M413701 | 1.01 | 3.51 | |||||
17 | M411901 | 0.94 | 2.03 | -0.32 | 0.32 | |||
Block M10 | ||||||||
8 | M237601 | 1.02 | -0.44 | 0.24 | ||||
20 | M236401 | 0.94 | -0.75 | 0.19 | ||||
Block M11 | ||||||||
4 | M3850MS | 0.62 | -1.90 | 0.45 | -0.45 | |||
6 | M4043MS | 0.42 | -1.16 | -0.70 | 0.70 | |||
Block M12 | ||||||||
4 | M248501 | 0.60 | -1.96 | |||||
6 | M249201 | 1.59 | -0.74 | 0.15 | ||||
9 | M4029MS | 0.86 | -0.11 | |||||
Block M13 | ||||||||
1 | M412101 | 0.85 | -1.34 | 0.14 | ||||
8 | M408701 | 1.08 | -0.20 | 0.15 | ||||
17 | M412301 | 0.82 | 2.47 | -0.77 | 0.77 | |||
Block M14 | ||||||||
6 | M251201 | 0.87 | -0.81 | |||||
13 | M407701 | 0.48 | 1.04 | 0.29 |