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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 | ||||||||
4 | M248201 | 0.56 | -1.85 | 0.16 | ||||
11 | M3841MS | 0.90 | 1.05 | |||||
Block M2 | ||||||||
11 | M3801MS | 0.43 | 0.70 | |||||
Block M3 | ||||||||
4 | M4047MS | 0.22 | -2.23 | |||||
7 | M4088MS | 0.56 | -1.07 | -1.01 | 1.01 | |||
Block M4 | ||||||||
8 | M349701 | 1.06 | 0.99 | 0.23 | ||||
14 | M352201 | 0.82 | 0.26 | 0.16 | ||||
16 | M349401 | 1.09 | 1.23 | 0.16 | ||||
18 | M222201 | 0.53 | 1.71 | 0.12 | ||||
Block M5 | ||||||||
6 | M222901 | 1.27 | 0.28 | 0.15 | ||||
10 | M223301 | 0.48 | 1.30 | 0.09 | -0.09 | |||
13 | M223601 | 1.15 | 0.82 | 0.15 | ||||
21 | M152301 | 0.40 | 2.19 | 0.11 | ||||
Block M6 | ||||||||
8 | M171101 | 1.52 | 0.59 | 0.14 | ||||
12 | M151801 | 0.64 | -0.78 | 0.12 | ||||
15 | M167901 | 0.57 | 1.63 | -1.04 | 1.04 | |||
Block M7 | ||||||||
8 | M236201 | 0.89 | -0.66 | 0.15 | ||||
11 | M231501 | 0.61 | 0.74 | |||||
16 | M221901 | 0.93 | 0.86 | 0.21 | ||||
Block M8 | ||||||||
2 | M388300 | 0.94 | -0.17 | 1.91 | -1.91 | |||
5 | M386901 | 1.50 | 0.62 | 0.17 | ||||
Block M9 | ||||||||
4 | M253301 | 0.81 | -0.21 | 0.09 | -0.09 | |||
7 | M414301 | 1.16 | -0.10 | 0.19 | ||||
13 | M351301 | 1.46 | 0.97 | 0.17 | ||||
Block M10 | ||||||||
3 | M235301 | 0.90 | 1.14 | 0.22 | ||||
11 | M236801 | 1.25 | 0.61 | 0.25 | ||||
14 | M351001 | 0.63 | 0.29 | 0.19 | ||||
19 | M239001 | 1.18 | -0.52 | 0.70 | -0.70 | |||
Block M11 | ||||||||
1 | M252901 | 1.32 | -1.49 | 0.17 | ||||
8 | M250201 | 0.99 | -1.49 | |||||
Block M12 | ||||||||
5 | D2490MS | 0.83 | -1.71 | |||||
11 | M384402 | 0.62 | 2.06 | 1.56 | -1.56 | |||
Block M13 | ||||||||
2 | M407401 | 0.49 | -1.54 | 0.14 | ||||
5 | M3893MS | 0.51 | -0.88 | -0.90 | 0.90 | |||
Block M14 | ||||||||
7 | M3866MS | 0.62 | -0.55 | 0.76 | -0.76 | |||
15 | M4113MS | 0.11 | 11.74 |