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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 8 Mathematics Combined National and State Main Assessment: 2005

NAEP Technical DocumentationIRT parameters for items in the number sense, properties, and operations scale, by block and item, grade 8 mathematics combined national and state 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.
# Rounds to zero.
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 M066401 0.68 -0.33 0.15 † † † †
9 M020101 1.33 -0.72 0.00 † † † †
15 M093701 1.22 1.81 0.17 † † † †
16 M086001 1.05 1.00 0.22 † † † †
17 M051901 1.60 0.61 0.08 † † † †
M4 1 M046001 0.55 -2.53 0.00 † † † †
5 M046901 0.86 -1.84 0.00 † † † †
8 M046801 0.65 -1.34 0.00 † † † †
9 M067801 0.86 -1.61 0.06 † † † †
18 M053001 0.79 1.91 0.00 † † † †
M5 7 M020001 0.69 -0.55 0.00 † † † †
8 M046301 0.99 -0.97 0.31 † † † †
10 M046501 1.03 -0.14 0.37 † † † †
13 M066301 0.31 -1.88 † -3.27 3.27 † †
14 M067901 0.76 -0.65 † -1.26 1.26 † †
16 M051501 0.97 1.21 0.18 † † † †
M6 8 M141101 0.87 -0.66 0.10 † † † †
10 M141301 0.58 0.79 † -1.22 1.22 † †
15 M141801 1.28 0.83 0.17 † † † †
M7 3 M143801 0.89 -0.44 0.14 † † † †
5 M144001 0.75 0.66 0.35 † † † †
7 M144201 1.00 0.24 0.00 † † † †
8 M144301 1.18 0.25 0.15 † † † †
M8 1 M012231 0.51 -3.36 0.17 † † † †
3 M073001 1.29 -0.11 0.16 † † † †
5 M073101 0.92 0.77 0.37 † † † †
14 M012431 0.78 -0.08 0.10 † † † †
15 M091901 0.58 0.15 0.19 † † † †
19 M073601 0.55 1.14 † -0.15 -0.23 0.08 0.31
M9 1 M013431 0.94 -0.24 0.11 † † † †
6 M091501 1.22 0.48 0.18 † † † †
7 M091601 1.05 0.13 0.22 † † † †
9 M052401 0.70 0.38 0.00 † † † †
12 M013631 1.43 0.26 0.06 † † † †
15 M013531 0.92 1.03 0.11 † † † †
M10 4 M142301 0.94 # 0.34 † † † †
5 M142401 0.97 -0.14 0.32 † † † †
13 M143201 0.95 0.08 0.00 † † † †
M11 1 M105601 0.94 0.05 0.18 † † † †
3 M105901 0.67 -1.82 0.27 † † † †
5 M106101 0.83 -1.11 0.17 † † † †
9 M106501 1.12 -0.32 0.23 † † † †
19 M107601 1.50 0.59 0.07 † † † †
M12 1 M109801 0.96 -0.37 0.16 † † † †
11 M110901 1.48 1.09 0.13 † † † †
12 M111001 0.83 0.85 0.17 † † † †
18 M111801 0.53 -0.28 † -0.44 0.44 † †
Last updated 27 July 2009 (JL)

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