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NAEP Analysis and ScalingEstimation of NAEP Score ScalesNAEP Assessment IRT ParametersMathematics Assessment IRT Parameters → IRT Parameters for Items in the Algebra Subscale, Grade 12 Mathematics National Assessment, by Block and Item: 2019

​​​NAEP Technical DocumentationIRT Parameters for Items in the Algebra Subscale, Grade 12 Mathematics National Assessment, by Block and Item: 2019

IRT parameters for items in the algebra subscale, grade 12 mathematics DBA national assessment, by block and item: 2019
Item NAEP ID a b c d d d d
Not applicable; c parameters are not estimated for the two-parameter logistic or generalized partial credit models, and d parameters are not estimated for the two-parameter or three-parameter logistic models.
DBA = Digitally based assessment. For item j, a represents the discriminatory power of the item, b represents a location parameter related to item difficulty, c represents the guessing parameter, and d 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, d may not sum to zero because of rounding.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment.
Block M1
1 M427501 1.10 -0.44 0.16
5 M4203MS 0.96 -0.76
9 M425101 1.17 1.20 0.74 -0.74
11 M427101 0.86 1.07 0.17
14 M428801 0.54 2.24 -0.22 -0.06 0.71 -0.43
Block M2
2 M422301 1.66 0.31 0.30
5 M4233MS 1.23 0.46
8 M420701 1.65 0.52 0.24
10 M4253MS 0.63 0.90 -1.93 1.93
13 M4226CL 1.20 1.85 -0.30 0.30
Block M3
5 M305201 1.66 1.23 0.17
7 M302901 1.09 0.52 0.20 -0.20
9 M306601 1.43 0.74 0.16
11 M056401 1.18 0.58 0.27
14 M185201 0.97 -0.18
Block M4
3 M198201 1.17 -0.65 0.22
4 M198202 0.97 0.26 0.18
5 M198203 1.46 -0.69 0.20
7 M176701 0.88 1.16 0.11
14 M174701 2.38 1.16 0.19
18 M4260MS 0.49 1.75 -0.35 0.35
Block M5
2 M180701 1.69 0.24 0.15
8 M197901 1.28 0.19 0.08
10 M189201 1.06 1.03 0.20
11 M183101 2.61 1.53
17 M4217CL 0.76 2.23 -1.20 1.49 -0.33 0.04
Block M6
2 M199801 0.65 1.33 0.18
6 M182101 0.37 1.84 0.25
7 M182102 1.29 1.90 0.09
10 M200101 1.28 0.56 0.22
12 M177901 1.30 1.45 0.36
17 M4242CL 0.66 2.53 -0.50 0.08 0.42
Block M7
1 M434301 1.44 -0.55 0.24
4 M4321MS 0.88 0.25
7 M4303MS 1.20 0.24
11 M4333MS 0.69 0.87
15 M4317MS 0.62 2.66
Block M8
1 M429001 1.54 -0.35 0.20
5 M432701 1.20 0.13
8 M4293MS 0.89 -0.11
11 M429701 1.22 0.42 0.21
Block M9
2 M192901 1.46 -0.83 0.19
9 M192301 1.80 0.31 0.28
10 M198801 1.16 0.65 0.21
13 M185501 1.07 -0.07 0.22
15 M311001 0.43 0.97 0.26
17 M188001 0.67 0.55 -4.96 4.96
Block M10
2 M308801 1.09 0.33 0.15
4 M309801 0.84 -0.02 0.20
10 M311301 1.19 2.11 0.21
12 M190401 1.25 -0.08 0.17
14 M130801 1.10 -0.14 0.11
Block M11
1 M196501 0.53 -0.03 0.21
4 M185801 1.77 1.61 0.11
7 M186101 3.17 1.00 0.25
10 M177301 1.12 0.62 0.12 -0.12
13 M197101 1.71 0.82 0.16
15 M183601 1.79 1.24
17 M175101 0.95 3.18 0.23
19 M197601 0.86 0.87 0.67 -0.67


IRT parameters for items in the algebra subscale, grade 12 mathematics PBA national assessment, by block and item: 2019
ItemNAEP IDabcdddd
Not applicable; c parameters are not estimated for the two-parameter logistic or generalized partial credit models, and d parameters are not estimated for the two-parameter or three-parameter logistic models.
PBA = Paper-based assessment. For item j, a represents the discriminatory power of the item, b represents a location parameter related to item difficulty, c represents the guessing parameter, and d 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, d may not sum to zero because of rounding.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Mathematics Assessment.
Block M1
3M1836010.580.780.68-0.68
5M1965010.590.330.27
9M1764011.401.490.23
11M1861011.870.840.23
13M1858012.401.640.13
Block M2
5M3052011.181.040.16
7M3029010.920.430.16-0.16
9M3066010.990.750.13
11M3059CL0.471.631.66-3.372.52-0.80
14M3075010.521.41-0.180.18
Block M3
1M1971011.330.710.12
8M1934010.831.51-0.120.12
11M1751010.593.690.17
12M1833010.731.770.15
14M1792011.421.890.43-0.43
Block M4
6M1904011.11-0.290.16
8M1976010.910.620.51-0.51
10M1977011.231.310.18
14M1979011.280.140.06
Block M5
3M1773011.010.610.12-0.12
9M1826010.990.560.23
13M1852010.80-0.38
14M1980011.610.980.22
Block M6
3M1982011.85-0.590.31
4M1982021.340.190.09
5M1982032.34-0.390.27
7M1767011.041.420.15
14M1747011.511.370.16
Block M7
3M3110010.480.300.25
7M3077011.56-0.290.17
9M3115011.011.380.26
12M3096011.281.640.34
Block M8
1M1876011.57-0.200.15
7M1884012.071.090.15
9M1880010.810.25-0.450.45
Block M9
2M1929011.31-0.460.22
9M1923011.100.030.21
10M1988010.860.490.21
13M1855011.24-0.020.20
Block M10
7M1991011.911.250.19
8M1992010.521.36-4.614.61
9M1909010.581.080.10
10M1993011.681.850.28
11M1908010.891.021.17-1.17
Block M11
1M1843010.94-1.270.19
4M1807011.13-0.060.14
10M1765CL0.530.850.72-0.06-0.55-0.11
12M1892010.981.040.25
13M1831011.761.58
Block M12
2M1998011.090.910.19
6M1821010.451.760.24
7M1821021.471.710.07
10M2001011.110.470.19
12M1779010.611.660.32
Block M13
2M3062010.27-0.420.22
6M3011011.240.750.18
10M3016011.181.400.25
13M3021010.822.200.13-0.730.60
14M3030011.301.410.18
Block M14
2M3088010.790.280.14
4M3098011.02-0.330.19
10M3113012.441.740.22


Last updated 05 December 2023 (SK)