Block | Item | NAEP ID | aj | bj | cj | dj1 | dj2 | dj3 | dj4 |
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† Not applicable; c parameters are not estimated for generalized partial credit models, and d parameters are not estimated for two-parameter or three-parameter logistic models. NOTE: For item j, aj represents the discriminatory power of the item, bj represents a location parameter related to item difficulty, cj represents the guessing parameter, and dji represents the category threshold parameter for category i. The c parameter value is exactly zero for items scaled with the two-parameter logistic model. For item j, dji may not sum to zero because of rounding. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2011 Mathematics Assessment. |
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MC | 1 | M149801 | 0.48 | -1.78 | 0.14 | † | † | † | † |
4 | M150101 | 0.95 | -0.29 | 0.40 | † | † | † | † | |
12 | M150901 | 0.86 | 0.56 | † | † | † | † | † | |
13 | M151001 | 0.86 | 0.29 | 0.21 | † | † | † | † | |
MD | 2 | M151401 | 0.91 | 0.93 | 0.08 | † | † | † | † |
4 | M151601 | 0.85 | 1.45 | † | -0.65 | 0.65 | † | † | |
12 | M152401 | 0.97 | 0.69 | 0.06 | † | † | † | † | |
ME | 1 | M221201 | 1.17 | 0.20 | 0.35 | † | † | † | † |
2 | M221202 | 1.49 | 0.49 | 0.35 | † | † | † | † | |
4 | M221204 | 0.65 | 0.92 | † | 1.36 | -1.36 | † | † | |
MF | 1 | M140401 | 1.14 | -0.74 | 0.11 | † | † | † | † |
5 | M140801 | 1.51 | 0.52 | 0.20 | † | † | † | † | |
7 | M141001 | 1.19 | -0.09 | 0.14 | † | † | † | † | |
MG | 1 | M163801 | 0.63 | -2.68 | 0.20 | † | † | † | † |
5 | M164401 | 1.23 | -0.88 | 0.07 | † | † | † | † | |
9 | M168701 | 0.54 | -0.07 | † | -0.84 | 0.84 | † | † | |
MH | 7 | M165101 | 0.93 | 1.13 | 0.16 | † | † | † | † |
10 | M120901 | 0.92 | 0.65 | 0.04 | † | † | † | † | |
MI | 9 | M166801 | 0.54 | 0.74 | 0.08 | † | † | † | † |
15 | M1657CL | 0.50 | 0.97 | † | -0.86 | 3.03 | -4.12 | 1.95 | |
MJ | 2 | M222501 | 0.84 | 0.02 | 0.19 | † | † | † | † |
9 | M223201 | 1.11 | 1.73 | 0.30 | † | † | † | † | |
MK | 5 | M121801 | 0.74 | 0.44 | 0.54 | † | † | † | † |
13 | M167301 | 1.40 | 0.93 | 0.17 | † | † | † | † | |
ML | 2 | M152801 | 0.62 | 0.02 | 0.13 | † | † | † | † |
11 | M153701 | 1.12 | 0.21 | 0.03 | † | † | † | † |