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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 Number Sense, Properties, and Operations Scale, Grade 4 Mathematics Combined National and State Assessments, by Item and Block: 2011

NAEP Technical DocumentationIRT parameters for the number sense, properties, and operations scale, grade 4 mathematics combined national and state assessments, by item and block: 2011
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), 2011 Mathematics Assessment.
MC 1 M145201 0.91 -0.41 0.27 † † † †
3 M145401 0.83 -0.32 0.16 † † † †
7 M145801 1.03 0.06 0.21 † † † †
9 M146001 0.71 1.42 0.35 † † † †
12 M146301 0.65 0.56 † -1.63 1.63 † †
MD 6 M147201 0.47 -1.44 0.34 † † † †
8 M147401 0.76 -1.05 0.05 † † † †
9 M147501 1.10 -0.51 0.23 † † † †
11 M147701 1.39 1.02 0.17 † † † †
13 M147901 1.30 0.63 0.14 † † † †
14 M148001 2.04 1.56 0.17 † † † †
15 M148101 0.48 1.77 † -0.10 0.10 † †
ME 1 M218501 1.86 0.74 0.07 † † † †
2 M218502 1.73 0.84 † † † † †
3 M218503 2.53 0.43 0.15 † † † †
4 M2185CL 0.72 1.46 † 1.08 -1.38 0.30 †
10 M219101 0.74 0.05 0.24 † † † †
14 M219501 0.53 -0.02 † 0.07 -0.07 † †
MF 3 M135801 0.82 -0.40 0.45 † † † †
5 M136001 0.66 -1.02 0.27 † † † †
6 M136101 1.37 0.97 0.20 † † † †
7 M136201 0.66 -0.84 0.11 † † † †
9 M136401 1.10 0.01 0.14 † † † †
12 M136701 0.73 1.16 0.14 † † † †
MG 3 M156701 0.81 0.05 † † † † †
4 M157101 0.90 0.68 0.22 † † † †
7 M157301 0.85 0.60 † † † † †
11 M160701 0.47 -0.01 † -1.94 1.94 † †
12 M160001 0.40 0.15 0.06 † † † †
13 M162401 0.57 0.77 † -0.38 0.38 † †
MH 1 M010131 0.36 -2.44 0.19 † † † †
4 M086701 1.16 -0.63 0.19 † † † †
5 M010631 0.17 -2.12 † † † † †
7 M010831 0.93 0.70 0.30 † † † †
8 M010331 0.88 -0.38 0.27 † † † †
11 M087001 0.64 -0.10 † 0.15 -0.15 † †
17 M072401 0.66 0.40 † 0.22 -0.22 † †
19 M087301 0.62 1.34 † 0.42 -1.27 0.00 0.85
MI 2 M159501 1.02 0.03 0.10 † † † †
4 M161201 0.50 -1.43 † -0.41 0.41 † †
5 M154401 0.76 -1.30 0.05 † † † †
8 M155501 0.73 -1.00 0.05 † † † †
12 M157601 0.64 1.17 † -0.47 0.47 † †
16 M155101 0.54 0.80 † 2.02 -0.89 -0.70 -0.44
MJ 6 M220201 0.41 -1.69 0.25 † † † †
9 M220501 0.94 1.03 0.33 † † † †
11 M220701 0.35 -0.68 † -4.32 4.32 † †
12 M220801 1.37 1.34 0.06 † † † †
13 M220901 1.94 1.28 0.25 † † † †
14 M221001 0.85 0.06 0.28 † † † †
MK 1 M158001 1.17 0.36 0.33 † † † †
3 M161101 1.00 -0.67 0.18 † † † †
6 M161601 0.48 -0.28 † 0.33 -0.33 † †
8 M159701 0.60 -1.86 0.11 † † † †
10 M155201 0.68 -0.81 0.33 † † † †
15 M162201 0.89 1.77 † -0.48 0.48 † †
ML 6 M148701 0.80 0.35 0.17 † † † †
10 M149101 0.87 0.47 0.12 † † † †
11 M149201 0.53 1.09 † -1.20 1.20 † †
12 M149301 0.78 0.88 † † † † †
13 M149401 0.65 0.57 0.13 † † † †
Last updated 30 June 2014 (GF)
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