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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 Data Analysis, Statistics, and Probability Scale, by Block and Item, Grade 4 Mathematics Combined National and State Main Assessment: 2005
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: 2005
Block Item NAEP ID aj bj cj dj1 dj2 dj3 dj4
M3 14 M047301 1.40 -0.88 0.00
M4 7 M046601 1.11 0.18 0.00
M5 10 M047001 1.85 1.14 0.22
M6 14 M136901 0.64 0.42 -0.10 0.10
15 M137001 0.61 1.19 0.22
M7 7 M139401 0.62 0.69 0.10
M8 6 M072301 0.57 -1.31 0.10
13 M040001 0.96 -0.14 0.00
M9 3 M043201 0.53 -1.57 0.00
10 M043101 1.12 -0.02 0.22
20 M091401 0.40 1.37 -2.34 2.73 0.05 -0.45
M10 4 M137501 1.35 -0.78 0.00
5 M137601 0.96 0.27 0.34
M11 4 M096001 0.76 0.53 0.00
6 M096301 0.99 -1.24 0.13
16 M097401 1.07 -0.10 1.41 -1.41
M12 10 M100601 0.81 -1.98 0.15
11 M100701 0.29 0.77 0.19
† 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), 2005 Mathematics Assessment.

Last updated 19 February 2009 (GF)

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