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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 | ||||||||
7 | M4196MS | 1.01 | -0.36 | |||||
9 | M3884MS | 1.11 | 0.12 | |||||
12 | M409501 | 1.09 | 1.43 | |||||
15 | M4197MS | 0.36 | 1.87 | 1.09 | -1.09 | |||
Block M2 | ||||||||
5 | M3809MS | 0.65 | -1.26 | |||||
9 | M3846MS | 0.47 | 0.70 | -0.23 | 0.23 | |||
13 | M3800MS | 0.57 | 1.73 | -0.17 | 0.17 | |||
Block M3 | ||||||||
2 | M251401 | 0.91 | -1.63 | |||||
5 | M405701 | 0.81 | -1.28 | 0.17 | ||||
Block M4 | ||||||||
9 | M352401 | 0.89 | 0.65 | 0.17 | ||||
11 | M355801 | 0.76 | 1.04 | 0.07 | ||||
Block M5 | ||||||||
4 | D2227MS | 0.96 | 0.11 | |||||
14 | M223701 | 2.04 | 1.52 | 0.18 | ||||
17 | M221501 | 0.74 | -1.05 | 0.17 | ||||
Block M6 | ||||||||
2 | M170901 | 1.09 | -0.01 | 0.21 | ||||
10 | M169101 | 0.87 | 2.03 | 0.31 | ||||
18 | M171201 | 1.21 | 1.37 | 0.19 | ||||
Block M7 | ||||||||
3 | M339501 | 1.35 | -0.06 | 0.22 | ||||
4 | M232001 | 0.76 | 0.57 | 0.12 | ||||
Block M8 | ||||||||
7 | M3887MS | 0.53 | 0.84 | -0.49 | 0.49 | |||
10 | M388201 | 0.50 | 1.24 | -4.34 | 4.34 | |||
13 | M3873CL | 0.75 | 1.67 | -0.01 | -0.04 | 0.05 | ||
Block M9 | ||||||||
3 | M249401 | 0.99 | -0.41 | 0.16 | ||||
9 | M4200MS | 0.80 | 1.59 | |||||
12 | M4202MS | 1.36 | 0.71 | |||||
14 | M413101 | 0.81 | 0.86 | 1.16 | -1.16 | |||
Block M10 | ||||||||
2 | M235901 | 1.37 | 0.60 | 0.10 | ||||
4 | M237101 | 1.64 | 1.14 | 0.25 | ||||
9 | M238301 | 0.77 | 0.39 | 0.04 | ||||
Block M11 | ||||||||
2 | M3896MS | 0.54 | -1.79 | |||||
5 | D2508MS | 0.47 | -1.72 | -0.10 | 0.10 | |||
10 | M247801 | 1.13 | -0.14 | |||||
13 | M405301 | 0.49 | 1.64 | 1.36 | -1.20 | -0.17 | ||
Block M12 | ||||||||
12 | M4078MS | 0.70 | 1.51 | -0.94 | 0.94 | |||
16 | M4041MS | 0.46 | 2.03 | 0.03 | -0.03 | |||
Block M13 | ||||||||
4 | M248401 | 1.17 | -0.46 | 0.14 | ||||
10 | M248101 | 1.05 | -0.26 | 0.12 | ||||
16 | M252801 | 1.89 | 0.64 | 0.12 | ||||
18 | M390101 | 0.91 | 1.07 | 0.06 | ||||
Block M14 | ||||||||
3 | M251801 | 1.37 | -0.54 | 0.10 | ||||
9 | M3843MS | 0.40 | 0.09 | -2.27 | 2.27 | |||
11 | M3864MS | 1.45 | 0.16 |