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NAEP Analysis and ScalingEstimation of NAEP Score ScalesNAEP Assessment IRT ParametersScience Assessment IRT Parameters → IRT Parameters for Items in the Univariate Scale, Grade 8 Science National Assessment, by Block and Item: 2019

​​​NAEP Technical DocumentationIRT Parameters for Items in the Univariate Scale, Grade 8 Science National Assessment, by Block and Item: 2019

IRT parameters for items in the univariate scale, grade 8 science 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, 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.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Science Assessment.
Block S2
1 K2132MS 0.40 -0.82
2 K210401 0.59 0.27 0.23
3 K2080MS 0.27 -3.12 -6.10 6.10
4 K211001 0.85 0.24 0.34
5 K209501 0.43 1.64 -0.28 0.28
6 K2095MS 0.61 -0.58
7 K209701 0.93 1.27 0.24
8 K166201 1.15 0.23 0.18
9 K1663CL 0.69 1.29 -0.54 1.38 -0.84
10 K208901 0.82 -0.37 0.22
11 K213101 0.69 0.51 0.30
12 K210701 0.75 0.92 0.07 0.48 -0.55
13 K2083MS 0.66 0.05
14 K165801 0.45 -0.26 0.25
15 K207201 1.27 -0.39 0.26
16 K210101 2.18 0.44 0.30
17 K211201 0.80 0.93 0.28
Block S3
1 K114201 0.50 -0.14 0.36
2 K114101 0.83 1.43 0.28
3 K113901 0.52 -0.26 1.12 -1.12
4 K114001 1.10 0.33 0.30
5 K114002 1.00 0.65 0.22
6 K113401 0.46 0.65 0.10 -0.24 1.64 -1.49
7 K113201 0.47 -0.90 1.50 -1.50
8 K113102 0.63 0.71 0.28
10 K113602 1.13 1.82 0.33
11 K113603 0.70 0.85 0.17
12 K113001 0.80 -0.50 0.30
13 K113801 0.65 0.04 0.31
14 K113701 0.54 1.33 0.78 0.64 -0.21 -1.21
15 K134201 0.54 -0.23 0.44 -0.63 0.18
16 K113301 0.67 0.60 0.33
17 K113501 0.80 0.29 0.27
Block S4
1 K117801 1.22 -0.73 0.39
2 K114601 0.48 0.14 0.00 0.13 0.03 -0.16
3 K122201 1.38 1.02 0.34
4 K122301 0.73 0.43 0.19
5 K122302 0.79 -0.02 0.31
6 K122303 0.69 1.88 0.23
7 K122304 1.21 0.68 0.23
8 K116701 1.33 1.04 0.28
9 K122901 0.90 -0.10 0.27
10 K118901 1.04 -0.89 0.32
11 K122402 0.71 1.32 0.83 -0.83
12 K123001 0.51 -0.29 0.26
13 K122801 0.70 1.09 0.44 -0.44
14 K122001 1.22 0.53 0.24
15 K122602 0.51 0.16
16 K125201 0.31 0.08 -0.58 0.83 -1.32 1.08
17 K122501 0.56 0.54 0.25
18 K121801 0.90 1.55 0.21
Block S5
1 K120701 1.30 0.39 0.50
2 K120601 2.05 1.30 0.27
3 K154501 0.94 0.14 0.21
4 K121701 0.56 2.06 0.30
5 K121301 0.69 1.80 -0.23 0.20 0.02
6 K117601 0.92 1.66 0.34
7 K120801 1.49 0.94 0.20
8 K120802 0.55 0.75 0.50 -0.50
9 K124102 0.42 0.57 -1.21 1.88 -0.67
10 K154601 0.57 0.20 0.75 -0.75
11 K120901 1.09 0.30 0.19
12 K1214CL 1.48 1.25
15 K154701 0.83 1.00 2.67 -1.06 -1.61
16 K154801 0.84 -0.89 0.21
17 K121201 1.15 -0.19 0.26
18 K120501 1.31 -0.35 0.36
Block S6
1 K125101 0.30 -2.13 0.29
2 K124501 1.38 0.65 0.31
3 K124601 0.60 1.42 0.25
4 K123801 0.63 0.39 0.64 -0.30 -0.34
5 K123802 0.45 0.44 0.82 -0.82
6 K154901 0.73 1.23 0.25
7 K122101 0.53 1.28 0.86 1.09 -0.35 -1.59
8 K125001 0.84 1.24 0.33
9 K125002 0.90 0.64 0.31
10 K125003 0.48 -0.72
11 K155001 1.37 -0.44 0.31
12 K155101 1.55 1.45 0.25
13 K155201 1.08 0.24 0.25
14 K125401 0.38 1.78 1.91 -1.91
15 K125402 0.53 0.48 0.30 -0.30
16 K155301 1.41 0.63 0.36
17 K124401 0.94 0.38 0.35
Block S7
1 K2084MS 0.87 -1.58
2 K209201 0.57 0.49 0.35
3 K166801 0.68 0.70 0.20
4 K210801 0.56 1.11 0.24
5 K111301 1.26 1.03 0.26
6 K211701 0.98 0.21 0.16
7 K211702 0.50 1.68 -2.69 2.69
8 K207301 1.33 -1.11 0.32
9 K212601 1.44 0.30 0.31
10 K2076MS 0.60 -2.06
11 K2077MS 0.90 -0.18
12 K2078MS 0.68 -0.46
13 K1107CL 0.67 -0.14 1.50 -0.09 -1.41
14 K111201 0.97 0.16 0.20
15 K155401 0.98 0.52 0.24
16 K209101 1.15 -0.07 0.35
17 K212101 1.15 0.09 0.22
18 K212901 0.59 0.66 0.55 -0.55
Block S8
1 K112801 1.02 -0.34 0.30
2 K112501 0.41 0.39 0.26
3 K111901 0.60 1.48 0.31
4 K155501 1.24 0.45 0.21
5 K155502 1.36 0.49 0.20
6 K112401 0.61 1.22 -0.62 -2.11 2.73
7 K112001 1.38 0.37 0.20
8 K119701 1.16 0.56 0.28
9 K155601 0.37 2.24 -0.57 0.86 0.74 -1.03
10 K117201 0.47 -0.07 0.39
11 K117202 0.51 -0.12
12 K155751 0.57 1.15 0.34 -0.34
13 K155752 0.69 1.42 0.50 -0.50
14 K111601 0.60 0.45 0.24
15 K112901 0.60 1.43 0.23
16 K155801 1.24 -0.27 0.35
17 K112701 0.72 0.49 0.28
18 K155901 0.59 -0.18 0.23
Block S9
1 K2103MS 0.70 -0.42
2 K110101 1.06 1.27 0.35
3 K212801 1.24 0.70 0.18
4 K213501 0.66 0.75 0.28
5 K114501 1.63 1.38 0.18
6 K114802 0.54 0.45 -0.87 0.87
7 K114801 0.38 1.12 1.24 -0.12 -1.13
8 K170701 0.96 -0.23 0.35
9 K115101 0.80 -0.68 0.26
10 K210901 0.98 0.59 0.23
11 K2086MS 0.35 1.17 -0.39 0.39
12 K208605 0.76 0.63 0.86 -0.86
13 K110601 1.41 -0.69 0.18
14 K110602 0.94 0.25 0.20
15 K110603 1.17 1.30 0.29
16 K211501 1.57 0.61 0.34
18 K212201 1.15 0.17 0.26
Block S10
1 K168401 1.51 0.00 0.45
2 K170501 0.78 -1.02 0.19
3 K168301 1.30 0.73 0.20
4 K167801 0.83 0.61 0.30
5 K167901 0.85 0.43 0.24
6 K168801 0.59 -0.14 0.24
7 K166701 0.56 0.33 0.27
8 K169301 1.10 -0.05 0.24
9 K168201 0.55 0.25 0.20
10 K172101 0.99 -0.78
11 K166901 0.78 0.29 0.24
12 K165601 1.04 1.08 0.25
13 K167301 0.80 0.17 0.28
14 K167601 0.51 2.60 0.84 -0.84
15 K167701 1.05 -0.21
16 K167101 1.51 0.20 0.28
17 K170801 0.99 -0.18 0.29
18 K123901 0.64 0.63 1.31 0.66 -0.12 -1.85
Block S11
1 K165701 0.67 -1.13 0.31
2 K169201 0.64 0.74 0.16
3 K167501 0.39 -0.82 0.28
4 K169701 0.57 1.42 -0.07 0.07
5 K168101 0.93 -0.12 0.18
6 K169001 0.81 -0.32 0.16
7 K166501 0.97 0.54 0.21
8 K168701 0.62 1.18 1.05 -1.05
9 K166101 0.87 1.44 1.38 -1.38
11 K167401 0.84 -0.62 0.26
12 K167001 0.79 -0.31 0.30
13 K171201 1.61 -0.17 0.29
14 K171301 0.68 0.59 -0.54 0.54
15 K171401 1.43 0.52 0.39
16 K170601 0.90 1.23 0.28
17 K110501 0.76 0.74 1.09 -1.09
Block S12
1 K118001 0.92 -0.40 0.31
2 K156801 1.35 0.68 0.17
3 K156901 1.67 1.48 0.27
4 K118601 1.04 0.87 0.23
5 K124001 1.00 0.44 0.29
6 K116901 0.54 -0.45 -0.01 0.01
7 K123301 0.65 0.81 -0.12 0.12
8 K157001 0.87 -0.05
9 K119505 0.93 0.33
11 K123401 0.70 0.50 0.33 -0.22 -0.11
12 K112601 0.66 2.09 0.69 -0.09 0.18 -0.77
13 K118801 0.58 1.13 0.21
14 K157101 0.86 1.28 0.34
15 K115601 0.84 0.26 0.25
Block H1
1 K1913CL 0.39 -0.47 -1.29 1.29
2 K191401 1.13 0.77
3 K1917CL 0.80 -2.49 2.60 -2.60
4 K1918CL 0.93 0.93 0.21 -0.21
Block I1
1 K1871MS 0.93 0.70
2 K1872MS 0.96 0.66
3 K187302 0.84 0.26 0.27
4 K187402 0.75 -0.97 0.26
5 K187501 0.42 0.03 1.33 1.14 -2.47
6 K1876MS 0.34 1.61
7 K1877MS 0.49 -0.23
8 K187801 0.47 0.62 -0.11 0.11
9 K1879MS 0.45 -1.56 -1.23 1.23
10 K188001 0.45 -0.41 -0.57 0.57
11 K188101 0.66 1.09
Block I4
1 K1896CL 0.45 0.66 1.94 -1.94
2 K189702 0.64 0.95 0.25
3 K189902 0.53 1.38 -0.41 0.41
4 K190001 0.42 0.52 0.06 -0.06
5 K190101 0.62 0.16 0.02 -0.02
6 K190203 0.70 0.48 0.66 -0.66


IRT parameters for items in the univariate scale, grade 8 science 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, 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.
U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Science Assessment.
Block S3
1K1142010.51-0.450.36
2K1141011.081.200.30
3K1139010.50-0.251.00-1.00
4K1140010.880.030.30
5K1140020.810.530.21
6K1134010.410.64-0.08-0.132.04-1.84
7K1132010.38-1.121.61-1.61
8K1131020.720.640.30
10K1136020.951.860.38
11K1136030.540.920.19
12K1130010.95-0.470.32
13K1138010.610.020.31
14K1137010.501.100.660.65-0.26-1.05
15K1342010.47-0.15-0.23-0.270.49
16K1133010.590.520.31
17K1135010.550.210.28
Block S4
1K1178011.20-0.940.35
2K1146010.490.09-0.190.310.04-0.16
3K1222011.670.890.35
4K1223010.710.350.21
5K1223020.870.130.40
6K1223030.831.620.28
7K1223041.290.680.21
8K1167011.220.810.29
9K1229010.79-0.350.21
10K1189010.88-1.120.27
11K1224020.561.470.98-0.98
12K1230010.870.470.28
13K1228010.700.980.40-0.40
14K1220011.280.510.24
15K1226020.441.34-0.040.04
16K1252010.330.24-0.040.65-1.721.10
17K1225010.480.450.24
18K1218011.071.490.23
Block S5
1K1207011.000.110.44
2K1206011.431.460.31
3K1545011.080.110.25
4K1217010.512.050.30
5K1213010.581.85-0.320.120.21
6K1176011.151.550.37
7K1208011.150.940.22
8K1208020.311.69-0.390.39
9K1185010.540.951.29-0.05-1.24
10K1546010.430.180.65-0.65
11K1209011.060.410.20
12K1214010.740.010.29
13K1214020.96-0.010.31
14K1214032.001.320.11
15K1547010.571.183.08-0.55-0.50-2.03
16K1548010.93-0.790.25
17K1212011.25-0.200.30
18K1205011.37-0.420.30
Block S6
1K1251010.36-1.330.27
2K1245011.440.490.26
3K1246010.731.590.30
4K1238010.680.380.55-0.26-0.29
5K1238020.440.280.79-0.79
6K1549010.700.920.24
7K1221010.441.250.631.34-0.08-1.89
8K1250010.891.300.32
9K1250020.980.760.31
10K1250030.350.670.64-0.64
11K1550011.45-0.410.33
12K1551011.621.330.24
13K1552011.030.220.27
14K1254010.461.541.42-1.42
15K1254020.470.270.45-0.45
16K1553011.250.440.35
17K1244010.950.110.32
Block S7
1K1113011.240.980.27
2K1174011.230.650.13
3K1554010.790.230.23
4K1107CL0.59-0.431.65-0.07-1.58
5K1145011.351.350.18
6K1106011.27-0.670.36
7K1106020.880.250.28
8K1106031.491.230.27
9K1239010.490.691.191.52-0.26-2.45
10K1104010.411.00-0.540.480.06
12K1105010.681.140.90-0.90
13K1210010.821.440.31-0.31
14K1210CL0.390.50-1.202.23-1.03
15K1108011.341.290.26
16K1101011.441.280.35
Block S8
1K1128011.13-0.390.37
2K1125010.420.550.30
3K1119010.831.610.44
4K1555011.190.400.18
5K1555021.400.350.19
6K1124010.661.17-0.42-2.182.61
7K1120011.420.340.18
8K1197011.360.470.26
9K1556010.322.35-1.251.231.38-1.36
10K1172010.59-0.070.36
11K1172020.530.00
12K1557510.631.440.45-0.45
13K1557520.451.20-0.251.06-0.81
14K1116010.700.330.22
15K1129010.691.390.23
16K1558011.46-0.270.35
17K1127010.790.270.26
18K1559010.52-0.220.27
Block S9
1K1151010.85-0.500.25
2K1144011.240.360.19
3K1152010.710.790.060.74-0.81
4K1149011.080.410.23
5K1560CL0.731.17
6K1561010.461.87-1.902.01-0.11
7K1155011.511.470.17
8K1148020.580.24-0.540.54
9K1148010.381.68-1.462.51-1.05
10K1153011.18-0.320.38
12K1241020.430.55-1.411.80-0.39
13K1114010.880.940.21
14K1562010.920.430.34
Block S10
1K1684011.40-0.110.47
2K1705010.80-1.200.18
3K1683011.440.700.20
4K1678011.040.420.38
5K1679011.050.420.33
6K1688010.52-0.120.30
7K1667010.610.170.26
8K1693011.35-0.100.38
9K1682010.550.440.18
10K1721010.91-1.06
11K1669010.710.060.20
12K1656011.070.910.23
13K1673010.880.090.26
14K1676010.481.66
15K1677010.93-0.13
16K1671011.680.120.24
17K1708011.22-0.170.30
Block S11
1K1657010.84-1.030.36
2K1692010.720.440.15
3K1675010.43-1.290.24
4K1697010.531.26-0.460.46
5K1681010.93-0.150.20
6K1690010.91-0.450.23
7K1665011.070.590.22
8K1687010.631.041.07-1.07
9K1661010.791.251.43-1.43
10K1672010.460.000.22
11K1674011.04-0.340.39
12K1670010.86-0.490.29
13K1712011.38-0.510.26
14K1713010.590.46-0.710.71
15K1714011.140.250.33
16K1706011.011.090.27
Block S12
1K1180010.80-0.550.32
2K1568011.400.610.18
3K1569011.291.480.26
4K1186011.301.090.16
5K1240011.040.360.25
6K1169010.49-0.56-0.240.24
7K1233010.780.23
8K1570010.611.101.20-1.20
9K1195050.840.13
10K1243010.441.450.15
11K1234010.640.460.32-0.360.04
12K1126010.701.900.75-0.75
13K1188010.590.980.21
14K1571010.791.120.32
15K1156010.980.310.32


Last updated 05 December 2023 (SK)