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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 Algebra Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2022
NAEP Technical DocumentationIRT Parameters for Items in the Algebra Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2022
| 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), 2022 Mathematics Assessment. | ||||||||
| Block M1 | ||||||||
| 2 | D2527MS | 0.593 | -2.528 | -0.178 | 0.178 | |||
| 6 | M252001 | 0.712 | -1.952 | |||||
| 10 | M413001 | 0.777 | 1.042 | 0.209 | ||||
| 13 | M4124MS | 0.802 | 0.814 | |||||
| Block M2 | ||||||||
| 3 | M3674MS | 1.114 | -0.981 | |||||
| 6 | M3848MS | 0.529 | 0.039 | -1.735 | 1.735 | |||
| 8 | M3815MS | 0.403 | 2.251 | 0.010 | -0.010 | |||
| 10 | M383701 | 0.844 | 0.331 | 0.176 | ||||
| 12 | M386102 | 0.623 | 1.192 | -2.349 | 2.349 | |||
| Block M3 | ||||||||
| 6 | M250301 | 1.319 | -0.541 | |||||
| 9 | M3808MS | 0.656 | -0.216 | 0.564 | -0.564 | |||
| 12 | M4050MS | 0.506 | 1.211 | 1.088 | -1.088 | |||
| 14 | M409401 | 2.301 | 1.636 | 0.198 | ||||
| Block M4 | ||||||||
| 5 | M352101 | 1.201 | 0.406 | 0.213 | ||||
| 6 | M352301 | 0.656 | -0.112 | -1.430 | 1.430 | |||
| 7 | M350701 | 1.156 | 0.206 | 0.064 | ||||
| 13 | M352501 | 1.364 | 1.175 | 0.158 | ||||
| 17 | M236901 | 2.145 | 0.941 | 0.130 | ||||
| 19 | M351501 | 1.438 | 1.060 | 0.155 | ||||
| Block M5 | ||||||||
| 3 | M222601 | 1.352 | -0.074 | 0.127 | ||||
| 5 | M222801 | 1.497 | 0.451 | 0.076 | ||||
| 8 | M223101 | 0.564 | -0.544 | -2.007 | 2.007 | |||
| 11 | M152101 | 0.955 | 1.012 | 0.199 | ||||
| 15 | M223801 | 0.475 | -0.087 | -0.550 | 0.550 | |||
| 19 | M222101 | 1.377 | 2.335 | 0.218 | ||||
| Block M6 | ||||||||
| 6 | M171001 | 0.896 | 1.460 | 0.315 | ||||
| 9 | M233601 | 0.394 | -0.316 | -2.176 | 2.176 | |||
| 11 | M164701 | 1.230 | 1.254 | 0.274 | ||||
| 14 | M165201 | 1.802 | 0.997 | 0.132 | ||||
| 16 | M104901 | 0.759 | 0.789 | |||||
| 19 | M348801 | 1.136 | 0.535 | 0.151 | ||||
| Block M7 | ||||||||
| 7 | M234001 | 0.746 | -2.170 | |||||
| 10 | M232201 | 0.896 | -0.270 | 0.150 | ||||
| 12 | M232501 | 1.698 | 1.329 | 0.063 | ||||
| 14 | M151901 | 0.793 | 0.529 | 0.073 | ||||
| 18 | M221801 | 1.020 | 0.607 | 0.238 | ||||
| 19 | M151701 | 1.652 | 0.175 | 0.246 | ||||
| 21 | M221601 | 1.583 | 1.208 | 0.178 | ||||
| Block M8 | ||||||||
| 1 | M3863MS | 0.857 | -0.863 | |||||
| 3 | M3892MS | 0.499 | -0.849 | |||||
| 6 | M386701 | 1.224 | 0.642 | |||||
| 9 | M3874MS | 0.983 | 1.171 | |||||
| 12 | M3872MS | 0.792 | 0.236 | |||||
| Block M9 | ||||||||
| 5 | M249601 | 0.741 | -0.590 | 0.101 | ||||
| 11 | M4201MS | 1.326 | 0.098 | |||||
| 16 | M3798MS | 0.524 | 2.132 | -0.229 | 0.229 | |||
| Block M10 | ||||||||
| 5 | M238501 | 0.584 | -0.044 | 0.207 | ||||
| 7 | M235501 | 1.036 | -0.665 | |||||
| 13 | M234801 | 1.318 | -0.272 | 0.159 | ||||
| 15 | M237901 | 0.578 | 0.461 | -0.089 | 0.089 | |||
| 17 | M152201 | 1.288 | 0.620 | 0.133 | ||||
| 18 | M223401 | 0.291 | 1.062 | 0.119 | ||||
| Block M11 | ||||||||
| 7 | M406301 | 0.679 | -0.820 | 0.053 | ||||
| 9 | M3795MS | 0.962 | 0.751 | |||||
| 12 | M406801 | 1.103 | 1.461 | 0.243 | ||||
| 14 | M384501 | 1.672 | 1.348 | 0.096 | ||||
| Block M12 | ||||||||
| 1 | M3820MS | 0.590 | -1.719 | -1.310 | 1.310 | |||
| 3 | M252501 | 0.574 | -1.103 | 0.157 | ||||
| 8 | M407901 | 0.940 | -0.166 | 0.462 | -0.462 | |||
| 14 | M3803MS | 1.010 | 1.690 | |||||
| Block M13 | ||||||||
| 3 | M4103CL | 1.030 | -0.809 | |||||
| 6 | M221301 | 1.044 | -0.184 | 0.211 | ||||
| 9 | M350201 | 1.010 | 0.075 | 0.164 | ||||
| 12 | M414001 | 0.682 | 1.531 | 0.204 | ||||
| 14 | M4118MS | 0.587 | 1.133 | 0.952 | -0.952 | |||
| Block M14 | ||||||||
| 2 | M4136MS | 0.696 | -1.110 | |||||
| 5 | M253401 | 0.529 | -0.692 | 0.058 | ||||
| 8 | M250401 | 0.614 | -0.585 | 0.076 | ||||
| 10 | M404601 | 0.693 | 0.483 | 0.148 | ||||
| 16 | M3885MS | 1.098 | 1.459 | |||||
Last updated 24 July 2024 (SK)