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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 Data Analysis, Statistics, and Probability Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2003
NAEP Technical DocumentationIRT parameters for items in the data analysis, statistics, and probability scale, by block and item, grade 4 mathematics combined national and state main assessment: 2003
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 14 M047301 1.23 -0.86 0.00 † † † †
M4 7 M046601 1.28 0.26 0.00 † † † †
M5 10 M047001 1.58 1.31 0.21 † † † †
M6 3 M017801 0.85 0.68 0.27 † † † †
6 M020201 0.60 -1.19 0.00 † † † †
M7 3 M086501 0.76 -1.01 0.25 † † † †
10 M040101 0.87 -0.02 0.32 † † † †
M8 6 M072301 0.61 -1.14 0.06 † † † †
13 M040001 0.93 0.00 0.00 † † † †
M9 3 M043201 0.52 -1.48 0.00 † † † †
10 M043101 0.95 0.00 0.21 † † † †
20 M091401 0.39 1.47 † -2.17 2.57 0.11 -0.51
M10 16 N250231 0.74 -0.47 0.08 † † † †
17 M066901 0.33 0.07 † -0.98 -3.09 2.44 1.64
M11 4 M096001 0.75 0.58 0.00 † † † †
6 M096301 1.02 -1.09 0.18 † † † †
16 M097401 1.11 0.01 † 1.39 -1.39 † †
M12 10 M100601 0.79 -1.87 0.18 † † † †
11 M100701 0.35 1.14 0.25 † † † †
† 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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