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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Assessment IRT Parameters → Mathematics Assessment IRT Parameters → IRT Parameters for Items in the Algebra Subscale, Grade 12 Mathematics Combined National and State Assessment, By Item and Block: 2013
NAEP Technical DocumentationIRT parameters for items in the algebra subscale, grade 12 mathematics combined national and state assessment, by item and block: 2013
Block Item NAEP ID aj bj cj dj1 dj2 dj3  dj4 
† Not applicable; c parameters are not estimated for the two-parameter logistic model or 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 assumed to be exactly zero and is not estimated 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), 2013 Mathematics Assessment.
MA 3 M183601 0.60 0.79 † 0.71 -0.71 † †
5 M196501 0.81 0.58 .35 † † † †
9 M176401 1.17 1.71 .22 † † † †
11 M186101 2.31 0.79 .24 † † † †
13 M185801 2.01 1.68 .12 † † † †
MB 5 M305201 1.60 1.08 .17 † † † †
7 M302901 0.96 0.46 † 0.25 -0.25 † †
9 M306601 0.88 0.82 .10 † † † †
11 M3059CL 0.53 1.58 † 1.74 -3.58 3.02 -1.18
14 M307501 0.62 1.20 † -0.14 0.14 † †
MC 1 M197101 1.23 0.67 .12 † † † †
8 M193401 0.91 1.40 † 0.03 -0.03 † †
11 M175101 0.35 4.62 .14 † † † †
12 M183301 1.31 1.64 .18 † † † †
14 M179201 1.57 1.78 † 0.40 -0.40 † †
MD 6 M190401 0.95 -0.52 .15 † † † †
8 M197601 0.91 0.99 † 0.37 -0.37 † †
10 M197701 1.72 1.25 .22 † † † †
14 M197901 1.13 -0.02 .05 † † † †
ME 3 M177301 0.96 0.62 † 0.03 -0.03 † †
9 M182601 1.11 0.54 .22 † † † †
13 M185201 0.77 -0.56 † † † † †
14 M198001 1.31 1.06 .21 † † † †
MF 3 M198201 2.51 -0.33 .41 † † † †
4 M198202 1.35 0.22 .06 † † † †
5 M198203 3.45 -0.16 .35 † † † †
7 M176701 0.77 1.49 .10 † † † †
14 M174701 1.27 1.25 .15 † † † †
MG 3 M311001 0.50 0.25 .23 † † † †
7 M307701 1.60 -0.26 .19 † † † †
9 M311501 0.81 1.35 .22 † † † †
12 M309601 0.78 1.56 .30 † † † †
MH 1 M187601 1.27 -0.36 .11 † † † †
7 M188401 2.33 1.16 .15 † † † †
9 M188001 0.74 0.12 † -0.70 0.70 † †
MI 2 M192901 1.11 -0.64 .18 † † † †
9 M192301 1.35 0.18 .30 † † † †
10 M198801 0.96 0.49 .26 † † † †
13 M185501 1.52 0.51 .28 † † † †
MJ 7 M199101 2.74 1.16 .17 † † † †
8 M199201 0.57 1.21 † -3.61 3.61 † †
9 M190901 0.62 0.82 .08 † † † †
10 M199301 1.61 1.86 .28 † † † †
11 M190801 0.92 0.95 † 1.27 -1.27 † †
MK 1 M184301 0.99 -1.22 .21 † † † †
4 M180701 1.29 -0.02 .15 † † † †
10 M1765CL 0.56 0.76 † 0.72 -0.04 -0.43 -0.25
12 M189201 1.07 0.83 .21 † † † †
13 M183101 2.12 1.51 † † † † †
ML 2 M199801 0.92 0.89 .17 † † † †
6 M182101 1.01 1.77 .32 † † † †
7 M182102 1.32 1.63 .07 † † † †
10 M200101 0.88 0.26 .13 † † † †
12 M177901 1.16 1.61 .36 † † † †
MM 2 M306201 0.31 -0.21 .24 † † † †
6 M301101 0.96 0.77 .18 † † † †
10 M301601 1.29 1.20 .29 † † † †
13 M302101 0.67 2.35 † -0.23 -0.87 1.10 †
14 M303001 1.18 1.23 .14 † † † †
MN 2 M308801 0.91 0.31 .20 † † † †
4 M309801 0.94 -0.42 .15 † † † †
10 M311301 1.29 1.93 .22 † † † †
Last updated 21 May 2017 (DC)
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