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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 Algebra and Functions Scale, by Block and Item, Grade 8 Mathematics Combined National and State Main Assessment: 2005

NAEP Technical DocumentationIRT parameters for items in the algebra and functions 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.
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 5 M066201 0.77 -1.75 0.07
10 M067401 0.92 1.28 0.18
11 M086101 0.63 0.32 0.11
12 M047701 1.01 1.29 0.26
13 M067301 1.02 -0.03 0.16
M4 3 M067701 0.78 -2.01 0.06
10 M066601 0.34 -0.85 -0.38 0.38
11 M067201 0.59 1.22 0.22 -0.22
20 M086301 0.25 -1.84 -1.87 1.87
M5 6 M019701 0.56 -2.23 0.00
11 M066501 0.52 -0.96 -0.56 0.56
M6 2 M140501 1.56 -0.04 0.22
6 M140901 0.91 0.43 0.13
12 M141501 1.11 0.43 0.26
16 M141901 0.45 1.66 2.16 0.95 -0.94 -2.18
M7 1 M143601 1.01 -0.94 0.07
9 M144401 0.82 0.36 0.10
14 M144901 0.54 0.99 0.03 -0.03
15 M145001 1.55 0.36 0.19
M8 10 M052501 1.10 0.77 0.20
16 M067001 1.28 0.54 0.33
17 M051701 1.18 -0.09 0.13
M9 2 M0757CL 0.43 -1.21 2.38 -0.57 -1.81
4 M091701 1.15 -0.86 0.18
10 M075301 1.17 -0.29 1.18 -1.18
14 M013731 1.07 0.92 0.12
M10 1 M142001 0.64 0.62 0.48
7 M142601 1.11 -0.23 0.19
8 M142701 1.19 0.27 0.09
9 M142801 0.69 1.10 0.00
14 M143301 1.10 0.58 0.23
M11 2 M105801 0.52 -1.15 0.09
6 M106201 0.81 -0.45 0.29
11 M106701 1.38 1.47 0.12
15 M107101 0.57 0.62 0.14
18 M107501 0.71 -1.16 0.00
M12 3 M110101 1.20 0.70 0.18
10 M110801 0.18 2.43 0.05
13 M111201 0.34 -0.46 0.09
14 M111301 0.59 -1.84 0.15
17 M111601 1.45 0.53 0.28

Last updated 19 February 2009 (GF)

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