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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment Item Response Theory Parameters → Mathematics Assessment Item Response Theory Parameters → IRT Parameters for the Measurement Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2003
NAEP Technical DocumentationIRT parameters for items in the measurement scale, by block and item, grade 4 mathematics combined national and state main assessment: 2003
Block Item NAEP ID aj bj cj dj1 dj2
M3 1 M074201 0.99 -0.30 0.09 † †
2 M074301 0.49 0.59 0.00 † †
3 M074801 0.69 0.21 † 0.12 -0.12
M4 6 M047201 1.02 0.76 0.21 † †
M5 5 M085601 1.46 1.78 0.29 † †
13 M047101 1.64 1.62 0.19 † †
M6 4 M017501 0.55 -1.66 0.14 † †
10 M018101 0.90 0.33 0.11 † †
18 M020301 1.06 1.22 0.00 † †
M7 2 M072101 0.66 -1.92 0.21 † †
7 M039401 0.56 -0.64 0.11 † †
13 M010731 0.95 0.61 0.22 † †
17 M010931 1.21 0.91 0.21 † †
M8 3 M039101 0.45 -1.70 0.14 † †
9 M086901 0.79 1.08 0.37 † †
10 M090901 1.58 1.22 0.44 † †
15 M091201 0.61 0.60 † -0.39 0.39
16 M066001 0.83 0.79 0.15 † †
18 M091301 1.47 1.75 0.24 † †
M9 1 M042801 0.85 -1.60 0.24 † †
7 M039501 0.82 -0.29 0.11 † †
12 M067601 0.59 1.05 0.10 † †
19 M039601 0.68 0.51 0.16 † †
M10 1 M090501 0.71 -0.61 0.12 † †
4 M042701 0.72 -1.54 0.20 † †
12 M086401 0.75 1.55 0.38 † †
13 M039301 0.73 0.45 0.00 † †
M11 1 M095701 0.54 -0.87 0.20 † †
10 M096801 0.50 1.50 0.11 † †
14 M097201 0.71 0.06 † -0.21 0.21
M12 5 M100101 0.77 -0.95 0.14 † †
7 M100301 1.20 0.72 0.29 † †
† Not applicable; c parameters are not estimated for generalized partial credit 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), 2003 Mathematics Assessment.
Last updated 16 February 2009 (GF)

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