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Item | NAEP ID | a | b | c | 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 | ||||||||
12 | M147801 | 1.25 | 0.64 | 0.09 | ||||
15 | M3758CL | 0.45 | 1.17 | 0.68 | -1.47 | 0.79 | ||
Block M2 | ||||||||
6 | M374901 | 0.74 | -1.56 | |||||
10 | M4004MS | 0.96 | 0.75 | |||||
Block M3 | ||||||||
9 | M3730MS | 0.35 | 1.20 | -1.32 | 1.32 | |||
12 | M369501 | 1.10 | 2.17 | 0.12 | ||||
Block M4 | ||||||||
6 | M340301 | 0.87 | 0.81 | 0.22 | ||||
18 | M230501 | 1.97 | 0.93 | 0.41 | ||||
Block M5 | ||||||||
6 | M231001 | 0.56 | 0.27 | 0.21 | ||||
10 | M225001 | 0.72 | 0.61 | 0.52 | -0.52 | |||
15 | M147601 | 0.49 | 2.07 | 0.18 | ||||
Block M6 | ||||||||
7 | M220301 | 0.91 | -0.12 | 0.07 | ||||
10 | M220601 | 0.49 | 3.47 | 0.21 | ||||
17 | M147301 | 0.67 | 0.29 | 0.47 | ||||
Block M7 | ||||||||
11 | M154901 | 0.05 | 3.46 | 0.13 | ||||
13 | M162301 | 0.70 | 0.87 | 0.09 | ||||
18 | M218701 | 1.15 | -0.75 | 0.13 | ||||
Block M8 | ||||||||
6 | M378001 | 0.58 | 2.07 | 0.14 | ||||
Block M9 | ||||||||
7 | M3708MS | 0.57 | -0.08 | -0.08 | 0.08 | |||
17 | M377201 | 1.42 | 2.82 | |||||
Block M10 | ||||||||
8 | D2188MS | 0.77 | -0.85 | |||||
14 | M240301 | 0.77 | -1.75 | 0.11 | ||||
18 | M344901 | 1.10 | 0.86 | 0.33 | ||||
Block M11 | ||||||||
4 | M3737MS | 0.73 | -2.59 | |||||
9 | M244801 | 2.07 | -0.77 | 0.12 | ||||
Block M12 | ||||||||
5 | D2252MS | 1.06 | -0.88 | |||||
9 | M392301 | 1.08 | -0.45 | |||||
Block M13 | ||||||||
2 | M246801 | 0.97 | -1.65 | 0.21 | ||||
14 | M3766MS | 0.33 | 1.70 | -3.93 | 3.93 | |||
Block M14 | ||||||||
9 | M243501 | 1.32 | -0.55 | 0.10 |