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 Measurement and Geometry Subscale, Grade 12 Mathematics National Assessment, by Item and Block: 2015
NAEP Technical DocumentationIRT Parameters for Items in the Measurement and Geometry Subscale, Grade 12 Mathematics National Assessment, by Item and Block: 2015
| Block | Item | NAEP ID | aj | bj | cj | dj1 | dj2 | dj3 | dj4 |
|---|---|---|---|---|---|---|---|---|---|
| M1 | 1 | M192801 | 0.78 | -1.71 | 0.19 | † | † | † | † |
| 7 | M178001 | 1.03 | 1.42 | † | -0.26 | 0.26 | † | † | |
| 8 | M196601 | 0.84 | -0.40 | 0.19 | † | † | † | † | |
| M2 | 1 | M303801 | 0.66 | -1.08 | 0.20 | † | † | † | † |
| 6 | M305301 | 0.47 | -1.80 | 0.20 | † | † | † | † | |
| 10 | M304201 | 1.02 | 1.11 | 0.32 | † | † | † | † | |
| 13 | M305101 | 1.41 | 0.95 | 0.17 | † | † | † | † | |
| M3 | 4 | M197301 | 0.67 | 0.05 | 0.16 | † | † | † | † |
| 5 | M197302 | 0.84 | -0.02 | 0.13 | † | † | † | † | |
| 6 | M197303 | 1.26 | 1.77 | † | † | † | † | † | |
| 7 | M197304 | 1.38 | 1.37 | † | † | † | † | † | |
| 10 | M1975CL | 0.66 | 1.52 | † | 1.65 | -1.12 | -1.08 | 0.55 | |
| M4 | 1 | M184201 | 1.15 | 0.74 | † | † | † | † | † |
| 7 | M174901 | 1.58 | 1.48 | 0.12 | † | † | † | † | |
| 11 | M174801 | 1.39 | 2.48 | † | 0.14 | -0.14 | † | † | |
| 13 | M180101 | 2.26 | 1.86 | 0.14 | † | † | † | † | |
| M5 | 4 | M194501 | 0.29 | -0.17 | 0.20 | † | † | † | † |
| 6 | M185701Z | 3.29 | 1.54 | 0.34 | † | † | † | † | |
| 7 | M185702 | 4.05 | 1.39 | 0.10 | † | † | † | † | |
| 8 | M185703 | 1.14 | 1.48 | † | 0.43 | -1.32 | 0.00 | 0.89 | |
| 11 | M187701 | 0.65 | 0.72 | † | -0.52 | 0.52 | † | † | |
| M6 | 6 | M183401 | 1.09 | 1.94 | † | -0.68 | 0.68 | † | † |
| 9 | M175001 | 0.76 | -0.41 | 0.22 | † | † | † | † | |
| 10 | M175002 | 0.87 | 1.84 | † | -0.30 | 1.99 | 1.20 | -2.89 | |
| 13 | M182201 | 2.80 | 2.25 | 0.20 | † | † | † | † | |
| M7 | 2 | M310601 | 0.60 | 1.12 | 0.29 | † | † | † | † |
| 5 | M309101 | 1.44 | -0.19 | 0.14 | † | † | † | † | |
| 8 | M304001 | 0.52 | 0.08 | † | -3.28 | 3.28 | † | † | |
| 11 | M309901 | 0.85 | 1.65 | 0.28 | † | † | † | † | |
| M8 | 2 | M193801 | 0.92 | -0.81 | 0.21 | † | † | † | † |
| 4 | M198601 | 2.01 | 1.33 | 0.10 | † | † | † | † | |
| 6 | M188201 | 0.82 | 1.59 | † | -0.90 | 0.87 | -0.85 | 0.89 | |
| 11 | M1943CL | 1.13 | 0.75 | † | 0.10 | -0.10 | † | † | |
| 13 | M189001 | 0.65 | 1.72 | † | 1.85 | -1.85 | † | † | |
| M9 | 1 | M192701 | 0.84 | 0.59 | 0.19 | † | † | † | † |
| 5 | M190501 | 1.15 | 1.00 | 0.15 | † | † | † | † | |
| 8 | M191901 | 0.91 | 1.15 | † | 0.06 | -0.43 | 0.34 | 0.03 | |
| 12 | M198901 | 1.08 | 1.09 | † | 0.71 | -0.71 | † | † | |
| M10 | 3 | M178501 | 0.77 | 1.53 | † | -1.37 | 1.37 | † | † |
| 6 | M191701 | 0.70 | 0.52 | † | 0.31 | -0.31 | † | † | |
| 12 | M199401 | 1.01 | 0.42 | 0.29 | † | † | † | † | |
| 13 | M1897CL | 0.38 | 2.34 | † | 0.19 | -0.02 | -0.25 | 0.09 | |
| M11 | 2 | M199501 | 0.86 | 0.43 | 0.23 | † | † | † | † |
| 9 | M199601 | 0.75 | 0.01 | 0.19 | † | † | † | † | |
| 11 | M183801 | 0.73 | 2.12 | 0.19 | † | † | † | † | |
| 14 | M176601 | 1.31 | 1.13 | 0.19 | † | † | † | † | |
| M12 | 3 | M186001 | 0.91 | 0.19 | † | † | † | † | † |
| 8 | M200001 | 0.48 | -0.18 | 0.22 | † | † | † | † | |
| 11 | M194001 | 0.54 | 2.33 | † | -0.21 | 0.21 | † | † | |
| 13 | M185001 | 2.31 | 1.45 | 0.12 | † | † | † | † | |
| M13 | 4 | M305801 | 1.20 | -0.02 | 0.17 | † | † | † | † |
| 7 | M305501 | 1.08 | -0.24 | † | † | † | † | † | |
| 9 | M306501 | 1.08 | 0.08 | † | † | † | † | † | |
| 12 | M305701 | 1.15 | 0.81 | 0.18 | † | † | † | † | |
| M14 | 1 | M307801 | 0.58 | -0.79 | 0.20 | † | † | † | † |
| 5 | M308001 | 0.76 | 0.90 | † | † | † | † | † | |
| 7 | M308601 | 1.36 | -0.13 | 0.17 | † | † | † | † | |
| 9 | M310301 | 1.14 | 0.28 | 0.12 | † | † | † | † | |
| 13 | M308901 | 1.79 | 1.48 | 0.16 | † | † | † | † | |
| † Not applicable;
c parameters are not estimated for the two-parameter logistic model or 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 assumed to be exactly zero and is not estimated 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), 2015 Mathematics Assessment. | |||||||||
Last updated 17 November 2021 (ML)