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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → Item Response Theory Parameters → Mathematics Assessment Item Response Theory Parameters → IRT Parameters for Items in the Number Sense, Properties, and Operations Scale, by Block and Item, Grade 12 Mathematics National Main Assessment: 2005

NAEP Technical DocumentationIRT parameters for items in the number sense, properties, and operations scale, by block and item, grade 12 mathematics national main assessment: 2005
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
† Not applicable; c parameters are not estimated for 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 is the category threshold parameter for category i. The c parameter value is exactly zero 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), 2005 Mathematics Assessment.
M3 8 M094901 1.24 -0.30 0.13
9 M095001 0.63 -0.19 -0.67 0.67
14 M056801 1.50 0.94 0.00
M4 3 M071503 0.86 0.18 0.19
4 M071601 0.96 -0.12 0.20
9 M059001 1.14 0.15 0.14
14 M059601 1.54 1.10 0.10
M5 5 M021401 1.07 -0.26 0.00
7 M094501 0.78 0.02 0.19
11 M056601 1.33 1.00 0.13
12 M056501 1.61 1.13 0.20
M6 1 M130901 0.91 -1.15 0.21
4 M131301 0.72 0.43 0.23
M7 3 M076101 0.56 -1.73 0.88 -0.88
6 M073801 0.71 0.45 -1.30 1.30
M8 1 M012231 0.79 -2.50 0.18
2 M012431 0.62 -1.56 0.16
3 M073001 1.06 -1.07 0.16
5 M073101 0.62 -0.20 0.19
14 M092501 0.56 1.11 0.29
15 M071201 0.55 0.90 -0.89 0.89
21 M071401 0.34 1.60 -4.82 0.74 1.34 2.73
M9 1 M059201 1.02 -1.08 0.17
2 M052401 0.51 -0.31 0.00
7 M076201 0.61 0.05 0.25
12 M074001 1.32 0.41 0.02 -0.02
M10 2 M058601 0.83 -0.52 0.19
M11 1 M125901 1.15 0.74 0.16
3 M126301 1.12 -0.24 0.20
M12 3 M134601 1.55 0.98 0.00
13 M135301 1.78 0.55 0.22


Last updated 27 July 2009 (JL)

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