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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Assessment IRT Parameters → IRT Parameters for Items in the Number Properties and Operations Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2022
NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2022
| 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), 2022 Mathematics Assessment. | ||||||||
| Block M1 | ||||||||
| 3 | M381901 | 0.799 | -0.902 | |||||
| 5 | M250701 | 0.876 | -1.133 | 0.097 | ||||
| 8 | M405801 | 0.914 | -0.259 | |||||
| Block M2 | ||||||||
| 1 | M385401 | 1.247 | 0.311 | 0.222 | ||||
| 4 | M3840CL | 0.641 | 0.127 | 0.906 | -0.284 | -0.622 | ||
| 15 | M379901 | 0.775 | 1.741 | |||||
| Block M3 | ||||||||
| 1 | M249101 | 0.914 | -1.677 | 0.098 | ||||
| 3 | M4105MS | 0.530 | -1.264 | |||||
| 11 | M406701 | 0.399 | 0.990 | -2.028 | 2.028 | |||
| 13 | M4198MS | 0.682 | 2.228 | |||||
| Block M4 | ||||||||
| 1 | M351601 | 1.047 | 0.369 | 0.128 | ||||
| 3 | M353201 | 0.771 | 0.529 | 0.110 | ||||
| 10 | M352001 | 0.775 | 0.475 | 0.033 | ||||
| 12 | M232101 | 0.847 | 1.501 | |||||
| 15 | M222301 | 0.865 | 0.797 | 1.157 | -1.157 | |||
| Block M5 | ||||||||
| 1 | M222401 | 0.784 | -1.104 | 0.046 | ||||
| 12 | M223501 | 0.756 | -0.423 | 0.266 | ||||
| 16 | M348601 | 1.210 | 1.016 | 0.052 | ||||
| 18 | M236001 | 1.241 | 0.315 | 0.134 | ||||
| Block M6 | ||||||||
| 1 | M163105 | 0.603 | 0.085 | -1.428 | 1.428 | |||
| 3 | M122701 | 0.535 | 0.329 | 0.281 | ||||
| 4 | M119601 | 0.495 | 0.077 | 0.080 | ||||
| 7 | M169201 | 1.693 | 0.019 | 0.248 | ||||
| 17 | M237801 | 1.024 | 0.365 | 0.139 | ||||
| 20 | M350501 | 0.945 | 1.517 | 0.245 | ||||
| Block M7 | ||||||||
| 1 | M232901 | 1.041 | -1.378 | 0.129 | ||||
| 5 | D2335MS | 0.900 | 0.055 | |||||
| 9 | M231901 | 1.380 | 0.448 | 0.184 | ||||
| 15 | M152001 | 1.210 | 0.998 | 0.113 | ||||
| 17 | M221701 | 0.345 | 0.318 | |||||
| Block M8 | ||||||||
| 8 | M3881MS | 0.490 | 2.061 | |||||
| 11 | M3875MS | 0.594 | 1.596 | -0.695 | 0.695 | |||
| Block M9 | ||||||||
| 2 | M4092MS | 0.296 | -0.582 | |||||
| 8 | M3870MS | 0.538 | -0.137 | -0.668 | 0.668 | |||
| 10 | M252601 | 1.207 | 0.319 | 0.135 | ||||
| Block M10 | ||||||||
| 1 | M238701 | 1.435 | -0.139 | 0.158 | ||||
| 6 | M236601 | 1.318 | -0.174 | 0.220 | ||||
| 10 | M238101 | 0.861 | -0.023 | 0.218 | ||||
| 12 | M234702 | 0.926 | 0.231 | 0.067 | -0.067 | |||
| 16 | M234501 | 1.363 | -0.061 | 0.070 | ||||
| Block M11 | ||||||||
| 3 | M251701 | 0.507 | -1.354 | |||||
| 11 | M3836MS | 1.203 | 0.165 | |||||
| 15 | M407001 | 2.212 | 2.305 | 0.255 | ||||
| Block M12 | ||||||||
| 2 | M404201 | 0.854 | -1.098 | 0.140 | ||||
| 7 | M247701 | 0.790 | -1.041 | 0.131 | ||||
| 10 | M407201 | 1.256 | -0.140 | 0.215 | ||||
| 13 | M3876MS | 0.827 | 0.215 | |||||
| 15 | M3831CL | 0.541 | 3.239 | 2.882 | 0.688 | -2.440 | -1.130 | |
| Block M13 | ||||||||
| 7 | M3890MS | 1.678 | -0.308 | |||||
| 11 | M4049MS | 0.848 | 1.168 | |||||
| 13 | M3889MS | 0.767 | 1.110 | 0.090 | -0.090 | |||
| 15 | M414701 | 0.513 | 1.675 | 0.030 | -0.030 | |||
| Block M14 | ||||||||
| 1 | M250001 | 1.382 | -0.978 | 0.128 | ||||
| 4 | M252201 | 0.758 | -0.950 | |||||
| 12 | M3897MS | 0.818 | 0.473 | |||||
| 14 | M4100CL | 0.525 | 2.121 | -0.655 | 1.337 | -0.682 | ||
Last updated 24 July 2024 (SK)