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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → IRT Parameters for the Mathematics Assessments → IRT Parameters for Items in the Measurement Scale, Grade 8 Mathematics Combined National and State Main Assessment, by Item and Block: 2009

NAEP Technical DocumentationIRT parameters for items in the measurement scale, grade 8 mathematics combined national and state main assessment, by item and block: 2009
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 represents 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), 2009 Mathematics Assessment.
M3 1 M149801 0.48 -1.72 0.14 † † † †
4 M150101 0.83 -0.60 0.24 † † † †
12 M150901 0.88 0.55 † † † † †
13 M151001 0.93 0.35 0.23 † † † †
M4 2 M151401 0.79 0.89 0.06 † † † †
4 M151601 0.87 1.47 † -0.56 0.56 † †
12 M152401 0.98 0.78 0.06 † † † †
M5 12 M047101 0.98 0.08 0.15 † † † †
17 M047901 1.16 1.33 † † † † †
4 M085501 1.12 0.56 0.17 † † † †
3 M085601 1.00 -0.43 0.26 † † † †
M6 1 M140401 1.13 -0.72 0.11 † † † †
5 M140801 1.41 0.52 0.20 † † † †
7 M141001 1.22 -0.09 0.14 † † † †
M7 1 M163801 0.64 -2.65 0.16 † † † †
5 M164401 1.23 -0.83 0.08 † † † †
9 M168701 0.53 -0.08 † -0.83 0.83 † †
M8 10 M120901 0.91 0.64 0.04 † † † †
7 M165101 0.82 1.17 0.15 † † † †
M9 15 M1657CL 0.51 0.97 † -0.87 3.08 -4.11 1.91
9 M166801 0.50 0.71 0.06 † † † †
M10 2 M142101 0.83 -0.42 0.22 † † † †
6 M142501 1.32 1.52 0.11 † † † †
12 M143101 0.80 0.33 0.18 † † † †
M11 5 M121801 0.55 0.17 0.49 † † † †
13 M167301 1.15 0.94 0.15 † † † †
M12 2 M152801 0.61 -0.04 0.10 † † † †
11 M153701 1.08 0.23 0.02 † † † †

Last updated 03 June 2016 (GF)