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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: 2017
NAEP Technical DocumentationIRT Parameters for Items in the Algebra Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2017
| Block | Item | NAEP ID | aj | bj | cj | dj1 | dj2 | dj3 | dj4 |
|---|---|---|---|---|---|---|---|---|---|
| M1 | 4 | M382801 | 1.15 | 0.31 | 0.09 | † | † | † | † |
| 8 | M3830MS | 0.81 | 0.33 |
† | -0.76 | 0.76 | † | † | |
| 11 | M384501 | 1.66 | 1.29 | 0.09 |
† |
† | † | † | |
| 13 | M3855MS | 0.60 | 1.71 | † | -1.97 | 1.97 | † | † | |
| M2 | 3 | M3674MS | 1.00 | -1.34 | † | † | † | † | † |
| 6 | M3848MS | 0.52 | -0.07 | † | -1.86 | 1.86 | † | † | |
| 8 | M3815MS | 0.67 | 1.56 |
† | † | † | † | † | |
| 10 | M383701 | 0.93 | 0.43 | 0.22 |
† |
† | † | † | |
| 12 | M386102 | 0.55 | 1.13 | † | -2.46 | 2.46 | † | † | |
| M3 | 4 | M3825MS | 0.84 | 0.05 | † | † | † | † | † |
| 6 | M3851MS | 0.96 | 0.24 | † | † | † | † | † | |
| 11 | M384202 | 0.49 | 1.50 | † | -5.82 | 5.82 | † | † | |
| M4 | 5 | M352101 | 1.05 | 0.28 | 0.20 | † | † | † | † |
| 6 | M352301 | 0.62 | -0.26 |
† | -1.54 | 1.54 | † | † | |
| 7 | M350701 | 1.15 | 0.09 | 0.11 | † | † | † | † | |
| 13 | M352501 | 1.44 | 1.19 | 0.18 | † | † | † | † | |
| 17 | M236901 | 1.83 | 0.76 | 0.12 | † | † | † | † | |
| 19 | M351501 | 1.25 | 0.80 | 0.17 |
† |
† | † | † | |
| M5 | 3 | M222601 | 1.07 | -0.40 | 0.06 | † | † | † | † |
| 5 | M222801 | 1.46 | 0.24 | 0.06 | † | † | † | † | |
| 8 | M223101 | 0.55 | -0.59 |
† | -2.06 | 2.06 | † | † | |
| 11 | M152101 | 0.70 | 0.89 | 0.18 | † | † | † | † | |
| 15 | M223801 | 0.46 | -0.24 | † | -0.55 | 0.55 | † | † | |
| 19 | M222101 | 1.24 | 2.22 | 0.20 |
† |
† | † | † | |
| M6 | 6 | M171001 | 0.84 | 1.48 | 0.34 | † | † | † | † |
| 9 | M233601 | 0.42 | -0.34 |
† | -1.92 | 1.92 | † | † | |
| 11 | M164701 | 1.17 | 1.26 | 0.27 | † | † | † | † | |
| 14 | M165201 | 1.71 | 0.92 | 0.12 | † | † | † | † | |
| 16 | M104901 | 0.71 | 0.71 |
† | † | † | † | † | |
| 19 | M348801 | 1.13 | 0.58 | 0.19 |
† |
† | † | † | |
| M7 | 7 | M234001 | 0.69 | -2.35 | † | † | † | † | † |
| 10 | M232201 | 0.99 | -0.13 | 0.24 | † | † | † | † | |
| 12 | M232501 | 1.90 | 1.23 | 0.08 | † | † | † | † | |
| 14 | M151901 | 0.83 | 0.41 | 0.07 | † | † | † | † | |
| 18 | M221801 | 0.84 | 0.27 | 0.17 | † | † | † | † | |
| 19 | M151701 | 1.18 | -0.13 | 0.17 | † | † | † | † | |
| 21 | M221601 | 1.41 | 0.95 | 0.18 | † | † | † | † | |
| M8 | 1 | M3863MS | 0.64 | -1.02 | † | † | † | † | † |
| 3 | M3892MS | 0.46 | -0.92 | † | † | † | † | † | |
| 6 | M386701 | 1.04 | 0.52 | † | † | † | † | † | |
| 9 | M3874MS | 0.92 | 1.12 | † | † | † | † | † | |
| 12 | M3872MS | 0.93 | 0.16 | † | † | † | † | † | |
| M9 | 7 | M355301 | 0.33 | -1.25 |
† | -2.29 | 2.29 | † | † |
| 11 | M355601 | 1.47 | 0.86 | 0.18 | † | † | † | † | |
| 13 | M356901 | 1.35 | 0.93 |
† | † | † | † | † | |
| 15 | M238901 | 1.45 | -0.23 | 0.12 | † | † | † | † | |
| 17 | M350201 | 0.91 | 0.04 | 0.14 | † | † | † | † | |
| 19 | M221301 | 0.88 | -0.44 | 0.14 |
† |
† | † | † | |
| M10 | 5 | M238501 | 0.52 | -0.29 | 0.14 | † | † | † | † |
| 7 | M235501 | 0.96 | -0.83 | † | † | † | † | † | |
| 13 | M234801 | 1.11 | -0.57 | 0.14 | † | † | † | † | |
| 15 | M237901 | 0.59 | 0.35 |
† | 0.01 | -0.01 | † | † | |
| 17 | M152201 | 1.23 | 0.59 | 0.17 | † | † | † | † | |
| 18 | M223401 | 0.25 | 1.11 | 0.13 |
† |
† | † | † | |
|
† 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), 2017 Mathematics Assessment. | |||||||||
Last updated 11 May 2022 (SK)