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Table of Contents | Search Technical Documentation | References
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 12 Mathematics National Assessment, by Block and Item: 2019
NAEP Technical DocumentationIRT Parameters for Items in the Number Properties and Operations Subscale, Grade 12 Mathematics National Assessment, by Block and Item: 2019
| 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. | ||||||||
| DBA = Digitally based assessment. 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 | ||||||||
| 3 | M423001 | 0.73 | 0.11 | 0.23 | ||||
| 13 | M4216CL | 0.57 | 1.27 | |||||
| Block M2 | ||||||||
| 3 | M426301 | 0.74 | 0.01 | 0.79 | -0.79 | |||
| 6 | M427801 | 1.92 | 0.57 | 0.26 | ||||
| Block M3 | ||||||||
| 3 | M304501 | 1.10 | 1.06 | 0.22 | ||||
| 15 | M177001 | 1.42 | 0.19 | 0.29 | ||||
| 18 | M4084CL | 0.27 | 1.58 | 3.30 | -0.21 | -3.09 | ||
| Block M4 | ||||||||
| 1 | M182901 | 1.41 | 2.05 | 0.28 | ||||
| 12 | M183901 | 1.14 | 0.45 | |||||
| Block M5 | ||||||||
| 6 | M184401 | 1.13 | 0.79 | 0.17 | ||||
| 13 | M197401 | 1.18 | 0.14 | 0.19 | ||||
| Block M6 | ||||||||
| 1 | M199701 | 1.17 | -0.88 | 0.21 | ||||
| 9 | M181801 | 1.25 | 1.36 | |||||
| Block M7 | ||||||||
| 2 | M430201 | 1.10 | -0.43 | 0.19 | ||||
| 10 | M433101 | 1.35 | 1.07 | |||||
| Block M8 | ||||||||
| 4 | M407501 | 1.08 | 0.28 | 0.26 | ||||
| 7 | M310401 | 1.48 | -0.18 | |||||
| Block M9 | ||||||||
| 6 | M194101 | 1.07 | 0.79 | 0.14 | ||||
| 12 | M073001 | 1.55 | -0.54 | 0.18 | ||||
| Block M10 | ||||||||
| 3 | M308401 | 1.29 | 0.55 | 0.17 | ||||
| 16 | M199001 | 1.10 | -0.67 | 0.19 | ||||
| Block M11 | ||||||||
| 2 | M181701 | 1.01 | -0.86 | 0.20 | ||||
| 8 | M302401 | 1.14 | 0.32 | 0.20 | ||||
| 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. | ||||||||
| PBA = Paper-based assessment. 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 | ||||||||
| 6 | M185901 | 1.55 | 1.95 | 0.18 | ||||
| 10 | M183901 | 1.34 | 0.20 | |||||
| Block M2 | ||||||||
| 3 | M304501 | 1.33 | 0.92 | 0.22 | ||||
| Block M3 | ||||||||
| 2 | M181701 | 0.76 | -1.67 | 0.19 | ||||
| 9 | M197401 | 1.46 | -0.03 | 0.18 | ||||
| Block M4 | ||||||||
| 5 | M177001 | 1.27 | -0.01 | 0.22 | ||||
| 12 | M197801 | 0.74 | 0.77 | 0.16 | ||||
| Block M5 | ||||||||
| 2 | M175701 | 1.46 | 0.69 | 0.24 | ||||
| 12 | M180301 | 1.26 | 1.98 | 0.06 | ||||
| Block M6 | ||||||||
| 1 | M182901 | 1.06 | 2.04 | 0.25 | ||||
| Block M7 | ||||||||
| 4 | M310401 | 1.26 | -0.41 | |||||
| Block M8 | ||||||||
| 3 | M193101 | 0.85 | 1.26 | |||||
| Block M9 | ||||||||
| 6 | M194101 | 0.98 | 0.87 | 0.14 | ||||
| Block M10 | ||||||||
| 1 | M199001 | 1.34 | -0.85 | 0.19 | ||||
| Block M11 | ||||||||
| 3 | M180601 | 1.14 | 0.89 | 0.20 | ||||
| 8 | M184401 | 1.47 | 0.59 | 0.23 | ||||
| Block M12 | ||||||||
| 1 | M199701 | 0.75 | -1.22 | 0.19 | ||||
| 9 | M181801 | 1.65 | 1.08 | |||||
| 14 | M178701 | 0.62 | 3.00 | 0.01 | -1.47 | 1.46 | ||
| Block M13 | ||||||||
| 1 | M302401 | 1.04 | 0.19 | 0.20 | ||||
| 8 | M301201 | 1.58 | 0.45 | 0.15 | ||||
| Block M14 | ||||||||
| 3 | M308401 | 1.36 | 0.55 | 0.17 | ||||
Last updated 05 December 2023 (SK)
