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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 Main Assessment, by Item and Block: 2009

NAEP Technical DocumentationIRT parameters for items in the number sense, properties, and operations scale, grade 4 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 M145201 0.92 -0.36 0.27
3 M145401 0.83 -0.31 0.16
7 M145801 1.02 0.08 0.20
9 M146001 0.63 1.62 0.33
12 M146301 0.65 0.60 -1.67 1.67
M4 6 M147201 0.49 -1.24 0.39
8 M147401 0.71 -1.08 0.06
9 M147501 1.07 -0.53 0.23
11 M147701 1.45 1.00 0.17
13 M147901 1.33 0.66 0.15
14 M148001 2.01 1.60 0.17
15 M148101 0.49 1.81 -0.14 0.14
M5 6 M085401 0.71 0.72 0.44 -0.67 0.23
8 M020001 0.92 -0.66
9 M046301 1.07 0.44 0.21
11 M046501 1.13 1.05 0.43
14 M066301 0.40 -0.41 -2.17 2.17
15 M067901 0.70 0.15 -1.16 1.16
M6 3 M135801 0.92 -0.21 0.49
5 M136001 0.66 -0.91 0.26
6 M136101 1.42 0.96 0.20
7 M136201 0.67 -0.83 0.11
9 M136401 1.11 0.04 0.15
12 M136701 0.73 1.19 0.15
M7 3 M156701 0.81 0.11
4 M157101 0.95 0.75 0.23
7 M157301 0.86 0.58
11 M160701 0.47 0.01 -1.92 1.92
12 M160001 0.40 0.23 0.08
13 M162401 0.58 0.82 -0.44 0.44
M8 1 M010131 0.34 -2.65 0.20
4 M086701 1.22 -0.60 0.20
5 M010631 0.18 -1.95
7 M010831 0.88 0.62 0.26
8 M010331 0.90 -0.25 0.31
11 M087001 0.62 -0.08 0.12 -0.12
17 M072401 0.64 0.40 0.18 -0.18
19 M087301 0.65 1.34 0.43 -1.28 0.02 0.84
M9 2 M159501 1.03 0.04 0.11
4 M161201 0.49 -1.43 -0.36 0.36
5 M154401 0.76 -1.20 0.09
8 M155501 0.76 -0.89 0.09
12 M157601 0.65 1.15 -0.51 0.51
16 M155101 0.55 0.80 2.02 -0.86 -0.68 -0.49
M10 1 M137201 0.74 -0.64 0.08
7 M137801 1.11 0.50 0.15
11 M138201 0.72 0.40
12 M138301 0.72 0.07 0.17
15 M138601 1.63 0.95 0.05
M11 1 M158001 1.04 0.32 0.32
3 M161101 0.96 -0.63 0.17
6 M161601 0.48 -0.29 0.30 -0.30
8 M159701 0.60 -1.77 0.14
10 M155201 0.71 -0.74 0.35
15 M162201 0.85 1.83 -0.52 0.52
M12 6 M148701 0.83 0.48 0.17
10 M149101 0.83 0.65 0.12
11 M149201 0.52 1.18 -1.31 1.31
12 M149301 0.79 0.89
13 M149401 0.64 0.62 0.14

Last updated 03 June 2016 (GF)