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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 8 Mathematics Combined National and State Assessment, by Block and Item: 2019

​​​NAEP Technical DocumentationIRT Parameters for Items in the Algebra Subscale, Grade 8 Mathematics Combined National and State Assessment, by Block and Item: 2019

IRT parameters for items in the algebra subscale, grade 8 mathematics combined national and state assessment, by block and item: 2019
ItemNAEP IDabcdd
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.
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
2D2527MS0.56-2.75-0.350.35
6M2520010.63-2.17
10M4130010.660.940.19
13M4124MS0.780.73
Block M2
3M3674MS1.02-1.24
6M3848MS0.52-0.06-1.841.84
8M3815MS0.402.290.03-0.03
10M3837010.890.340.20
12M3861020.591.15-2.382.38
Block M3
6M2503011.25-0.71
9M3808MS0.64-0.320.57-0.57
12M4050MS0.531.091.02-1.02
14M4094012.511.570.20
Block M4
5M3521011.130.300.21
6M3523010.64-0.21-1.451.45
7M3507011.100.070.07
13M3525011.461.160.17
17M2369011.930.790.13
19M3515011.280.870.17
Block M5
3M2226011.14-0.330.08
5M2228011.500.290.07
8M2231010.57-0.59-1.981.98
11M1521010.780.900.19
15M2238010.47-0.21-0.540.54
19M2221011.272.230.20
Block M6
6M1710010.921.370.33
9M2336010.41-0.37-1.971.97
11M1647011.171.220.27
14M1652011.850.920.13
16M1049010.730.73
19M3488011.160.530.18
Block M7
7M2340010.71-2.33
10M2322010.96-0.210.20
12M2325011.821.230.08
14M1519010.820.460.07
18M2218010.930.410.21
19M1517011.37-0.020.21
21M2216011.511.020.18
Block M8
1M3863MS0.73-1.00
3M3892MS0.48-0.89
6M3867011.090.52
9M3874MS0.941.11
12M3872MS0.890.17
Block M9
5M2496010.71-0.730.09
11M4201MS1.310.01
16M3798MS0.571.94-0.160.16
Block M10
5M2385010.54-0.180.17
7M2355010.98-0.78
13M2348011.27-0.430.18
15M2379010.600.36-0.040.04
17M1522011.250.570.15
18M2234010.271.080.13
Block M11
7M4063010.64-0.940.06
9M3795MS0.980.67
12M4068011.031.450.25
14M3845011.761.270.09
Block M12
1M3820MS0.53-2.01-1.481.48
3M2525010.52-1.330.17
8M4079010.91-0.260.47-0.47
14M3803MS1.041.61
Block M13
3M4103CL1.08-0.85
6M2213010.98-0.290.21
9M3502010.950.040.16
12M4140010.781.430.21
14M4118MS0.601.050.88-0.88
Block M14
2M4136MS0.65-1.26
5M2534010.50-0.790.08
8M2504010.62-0.600.10
10M4046010.660.330.13
16M3885MS1.081.42


Last updated 05 December 2023 (SK)