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HomeTDWNAEP Analysis and ScalingEstimation of NAEP Score ScalesItem Response Theory ParametersMathematics Assessment Item Response Theory ParametersIRT 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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