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Publication Number: FHWA-HRT-04-079
Date: July 2006

Seasonal Variations in The Moduli of Unbound Pavement Layers

Appendix E: Multiple Regression Results for Individual Pavement Layers

Table 73. Multiple regression results for Model 1
Section Layer & Class Log k0 c1 k2 k3 r2 (log E) n % Bias Se/Sy(ref. E)
040113 2 A-1-a 2.904 -0.002 -0.256 1.369 0.81 63 0 0.59
040113 3 A-1-b 2.085 0.009 -1.552 8.287 0.89 110 0 0.33
040113 4 A-1-b 6.214 0.008 21.799 -104.9 0.67 110 0 0.57
040114 2 A-1-a 3.197 -0.012 -0.629 3.312 0.79 13 5 0.88
040114 3 A-2-4 2.614 0.001 -1.548 8.334 0.55 13 0 0.77
040114 4 A-2-4 2.999 -0.037 84.985 -283.7 0.78 13 0 0.52
041024 2 A-1-a 3.190 -0.006 -0.346 0.310 0.78 16 -1 0.49
041024 3 A-2-6 1.006 -0.002 -4.861 29.47 0.94 18 0 0.26
041024 4 A-2-6 4.996 0.006 4.459 -24.25 0.83 17 0 0.46
081053 2 A-1-a 3.235 0.000 -0.092 0.812 0.83 21 0 0.47
081053 3 A-1-a 2.604 0.004 -0.679 4.983 0.82 43 0 0.45
091803 2 A-1-a 3.502 -0.024 -0.522 2.593 0.78 288 -1 0.69
131005 2 A-1-a 3.077 -0.007 -0.496 2.130 0.71 76 -1 0.58
131005 3 A-4 2.837 -0.026 -1.757 12.832 0.74 76 0 0.53
131005 4 A-4 3.385 -0.007 -1.424 0.405 0.59 76 0 0.65
131031 2 A-1-b 3.890 -0.009 -0.140 -2.983 0.54 30 -1 0.77
131031 3 A-4 4.155 -0.029 0.087 -11.24 0.47 107 -1 0.73
131031 4 A-4 -2.011 -0.003 54.244 -164.6 0.19 107 0 0.91
161010 3 A-2-4 0.785 0.000 -3.940 29.79 0.60 31 -1 0.66
161010 4 A-2-4 9.309 0.008 16.768 -70.52 0.78 31 -1 0.61
231026 2 A-1-a 3.169 -0.013 -0.545 2.267 0.73 191 -1 0.54
231026 3 A-1-b 0.353 0.003 -7.910 35.23 0.88 191 0 0.36
241634 3 A-4 3.255 -0.035 -1.015 6.935 0.85 109 -1 0.38
241634 4 A-4 4.418 -0.031 0.247 -1.975 0.33 109 0 0.84
251002 2 A-1-a 2.959 -0.015 -0.071 2.419 0.92 14 -1 0.35
251002 3 A-1-b 2.394 -0.006 -1.578 7.833 0.85 15 0 0.38
251002 4 A-3 3.314 -0.007 -0.084 1.241 0.27 15 0 0.97
271018 2 A-1-b 2.845 0.009 -0.329 1.838 0.87 33 -1 0.42
271018 3 A-3 3.208 -0.017 -0.763 0.489 0.37 33 0 0.83
271028 3 A-1-b 1.690 0.001 -3.406 13.78 0.80 80 0 0.45
271028 4 A-1-b 2.629 0.000 -1.665 5.658 0.02 80 0 1.01
276251 2 A-1-b 3.189 -0.005 -0.419 2.213 0.68 13 0 0.66
276251 3 A-3 2.602 0.002 -1.296 5.432 0.92 13 0 0.32
308129 2 A-1-a 2.733 0.003 -0.599 2.370 0.77 201 0 0.48
308129 3 A-6 1.184 0.010 -8.615 18.32 0.76 178 0 0.49
331001 2 A-1-a 2.881 0.004 -0.383 2.796 0.81 216 -1 0.48
331001 3 A-1-b -0.626 -0.001 -6.563 57.14 0.82 216 -1 0.63
331001 4 A-2-4 4.573 -0.003 1.933 -11.56 0.26 216 -1 0.86
351112 2 A-2-4 3.152 0.004 -0.152 1.979 0.59 285 -5 0.85
351112 3 A-3 1.520 -0.008 -3.948 16.46 0.87 321 -1 0.37
351112 4 A-3 4.007 0.001 0.937 -6.440 0.30 276 0 0.84
481077 2 A-1-a 3.189 0.010 -0.150 1.178 0.68 467 -1 0.61
481077 3 A-4 2.858 -0.001 -0.810 4.574 0.10 533 -1 0.97
491001 2 A-1-b 3.140 -0.013 -0.173 0.705 0.89 7 0 0.50
491001 3 A-2-4 0.753 0.006 -4.013 21.93 0.88 11 0 0.45
491001 4 A-2-4 4.423 0.017 3.206 -15.86 0.78 10 0 0.59
501002 2 A-1-a 3.043 0.000 -0.824 2.132 0.71 356 -1 0.55
561007 2 A-1-a 3.119 -0.003 -0.455 0.743 0.80 104 0 0.54
561007 3 A-2-4 2.052 -0.007 -2.582 9.198 0.38 107 0 0.80
831801 3 A-2-6 5.890 -0.211 -0.881 4.494 0.99 5 0 0.19
831801 4 A-2-4 4.723 -0.015 1.544 -10.01 1.00 5 0 0.05
871622 2 A-1-b 3.230 -0.002 -0.130 1.247 0.85 143 0 0.41
871622 3 A-1-b 1.961 0.000 -2.400 11.56 0.55 198 0 0.69
871622 4 A-4 3.969 -0.004 0.964 -5.956 0.15 198 0 0.93
906405 2 A-1-a 3.447 -0.024 -0.466 1.430 0.85 18 0 0.42
906405 3 A-1-b 1.917 0.004 -3.075 10.31 0.89 18 0 0.38
906405 4 A-1-b 5.693 0.006 6.671 -22.88 0.54 18 0 0.75
Table 74. Multiple regression results for set 1 (both load and overburden with K0 values of 0.7 and 0.5 for base and subbase/subgrade layers, respectively)
Section Layer k1 k2 k3 r2 Se/Sy n
040113 2 759.70 -0.23 1.39 0.80 0.46 41
040113 3 232.31 -1.31 6.37 0.87 0.36 88
040114 2 1108.25 -0.61 2.87 0.71 0.61 11
040114 3 1110.13 -0.46 4.79 0.57 0.73 11
041024 2 1261.30 -0.41 -0.26 0.72 0.55 28
041024 3 320.81 -1.99 6.42 0.35 0.83 36
081053 2 1690.59 -0.09 0.83 0.85 0.41 24
081053 3 449.61 -0.78 5.19 0.75 0.53 19
091803 2 914.91 -0.55 2.72 0.75 0.50 238
131005 2 874.96 -0.47 2.19 0.67 0.59 66
131005 3 354.51 -0.86 10.91 0.48 0.73 66
131031 2 5338.20 -0.11 -2.61 0.49 0.74 30
131031 3 1316.86 -0.40 -4.22 0.18 0.91 115
161010 2 2114.72 -0.17 1.87 0.34 0.89 13
161010 3 40.47 -3.31 13.63 0.79 0.47 59
231026 2 1139.25 -0.51 2.09 0.64 0.60 166
231026 3 122.96 -3.56 14.72 0.37 0.80 166
251002 2 962.85 -0.16 1.30 0.73 0.53 32
251002 3 267.11 -0.41 6.05 0.73 0.53 188
271018 2 1020.12 -0.24 1.58 0.83 0.42 34
271028 3 503.71 -1.28 6.33 0.51 0.71 80
276251 2 1614.02 -0.18 1.84 0.59 0.67 23
308129 2 615.37 -0.55 2.23 0.78 0.47 146
308129 3 314.10 -5.42 4.91 0.44 0.75 104
331001 2 857.87 -0.40 2.68 0.75 0.50 226
331001 3 31.96 -2.31 25.04 0.40 0.78 226
351112 2 1533.68 -0.15 2.00 0.61 0.63 292
351112 3 72.82 -3.40 13.49 0.72 0.53 316
481077 2 1907.43 -0.17 1.21 0.67 0.58 454
481077 3 1096.66 -0.48 2.50 0.05 0.98 517
491001 2 885.58 -0.25 0.66 0.77 0.51 19
491001 3 191.43 -1.18 5.87 0.30 0.88 23
501002 2 1115.68 -0.81 2.21 0.71 0.54 325
561007 2 1319.13 -0.50 0.61 0.77 0.49 118
561007 3 154.57 -2.07 7.36 0.54 0.68 121
831801 3 135.33 -1.08 9.40 0.31 0.88 21
871622 2 1592.09 -0.13 1.25 0.82 0.42 131
871622 3 381.00 -1.23 6.14 0.42 0.77 182
906405 2 1274.81 -0.45 1.30 0.64 0.64 19
906405 3 381.34 -1.81 5.29 0.77 0.51 19
Table 75. Multiple regression results for set 2 (overburden only in computation of octahedral shear stress, K0 values of 0.7 and 0.5 for base and subbase/subgrade layers, respectively)
Section Layer k1 k2 k3 r2 Se/Sy n
040113 2 761.58 -0.23 1.41 0.80 0.46 41
040113 3 398.55 -1.04 4.47 0.83 0.41 88
040114 2 940.31 -0.79 3.52 0.85 0.43 11
040114 3 1695.79 -0.22 2.98 0.34 0.91 11
041024 2 1275.96 -0.42 -0.39 0.72 0.55 28
041024 3 416.90 -2.04 7.62 0.38 0.81 36
081053 2 1693.11 -0.09 0.84 0.85 0.40 24
081053 3 681.92 -0.64 3.82 0.68 0.60 19
091803 2 939.87 -0.55 2.75 0.75 0.50 238
131005 2 904.72 -0.46 2.16 0.68 0.58 66
131005 3 673.56 -0.72 9.50 0.43 0.77 66
131031 2 4807.23 -0.11 -2.25 0.42 0.79 30
131031 3 1032.31 -0.58 -6.87 0.30 0.85 115
161010 2 1731.02 -0.20 2.76 0.40 0.85 13
161010 3 77.72 -3.19 14.35 0.73 0.53 59
231026 2 1167.66 -0.51 2.10 0.63 0.61 166
231026 3 275.01 -3.85 14.90 0.52 0.70 166
251002 2 1126.50 -0.85 0.20 0.62 0.64 25
251002 3 295.14 -0.46 6.21 0.74 0.51 188
271018 2 1032.97 -0.24 1.56 0.83 0.43 34
271028 3 381.89 -2.00 7.83 0.57 0.67 80
276251 2 1647.40 -0.18 1.85 0.61 0.65 23
308129 2 646.00 -0.52 2.19 0.75 0.50 146
308129 3 377.80 -4.87 18.51 0.47 0.74 104
331001 2 892.74 -0.41 2.62 0.76 0.49 226
331001 3 134.05 -1.73 23.75 0.38 0.79 226
351112 2 1555.58 -0.15 1.99 0.61 0.63 292
351112 3 127.28 -3.39 12.94 0.76 0.49 316
481077 2 1935.18 -0.17 1.20 0.66 0.58 454
481077 3 1408.19 -0.32 1.63 0.03 0.99 517
491001 2 890.86 -0.25 0.63 0.77 0.51 19
491001 3 296.42 -0.81 6.86 0.49 0.75 23
501002 2 1169.05 -0.82 2.14 0.70 0.55 325
561007 2 1317.74 -0.50 0.62 0.77 0.48 118
561007 3 355.03 -1.58 4.13 0.42 0.77 121
831801 3 168.04 -1.08 9.40 0.31 0.88 21
871622 2 1608.17 -0.13 1.24 0.82 0.43 131
871622 3 396.81 -1.41 6.85 0.25 0.87 182
906405 2 1264.00 -0.45 1.32 0.65 0.63 19
906405 3 516.81 -1.69 5.08 0.80 0.48 19
Table 76. Multiple regression results for set 3 (both load and overburden with K0 values of 1.0 for all layers)
Section Layer k1 k2 k3 r2 Se/Sy n
040113 2 755.02 -0.28 1.43 0.83 0.42 41
040113 3 569.77 -1.02 3.66 0.85 0.40 88
040114 2 949.52 -0.88 3.65 0.85 0.43 11
040114 3 1801.15 -0.31 2.97 0.34 0.91 11
041024 2 1569.42 -0.12 0.57 0.31 0.86 29
041024 3 724.80 -2.91 7.71 0.41 0.79 36
081053 2 1698.31 -0.10 0.83 0.87 0.38 25
081053 3 734.30 -0.84 3.99 0.70 0.58 19
091803 2 985.97 -0.58 2.75 0.74 0.51 239
131005 2 902.91 -0.53 2.21 0.68 0.57 66
131005 3 819.89 -1.01 9.27 0.43 0.76 66
131031 2 4566.10 -0.17 -2.11 0.48 0.75 33
131031 3 1361.67 -0.45 -7.45 0.26 0.87 115
161010 2 4021.59 -0.01 0.16 0.00 1.07 17
161010 3 162.73 -4.62 14.87 0.72 0.54 59
231026 2 1197.10 -0.59 2.11 0.64 0.61 166
231026 3 984.64 -6.02 14.19 0.53 0.69 166
251002 2 922.50 -0.23 1.33 0.82 0.44 32
251002 3 297.87 -0.61 6.52 0.74 0.51 188
271018 2 1035.21 -0.26 1.58 0.83 0.42 34
271028 3 576.52 -2.69 7.79 0.58 0.65 80
276251 2 1626.15 -0.21 1.90 0.63 0.64 23
308129 2 667.58 -0.58 2.20 0.75 0.50 146
308129 3 2872.10 -4.90 7.21 0.28 0.86 104
331001 2 882.36 -0.52 2.67 0.77 0.48 226
331001 3 206.03 -2.31 23.33 0.38 0.79 226
351112 2 1521.36 -0.23 2.01 0.64 0.60 294
351112 3 235.52 -4.49 12.74 0.75 0.50 316
481077 2 1962.00 -0.18 1.18 0.66 0.59 459
481077 3 1682.95 -0.16 0.90 0.01 1.00 517
491001 2 1012.21 -0.19 0.68 0.57 0.69 20
491001 3 354.65 -1.07 6.58 0.56 0.70 23
501002 2 1248.78 -0.96 2.15 0.71 0.54 325
561007 2 1500.09 -0.31 0.29 0.57 0.66 119
561007 3 504.41 -2.02 3.91 0.42 0.77 121
831801 3 191.00 -1.23 9.36 0.30 0.88 21
871622 2 1684.76 -0.06 1.30 0.78 0.48 136
871622 3 575.42 -1.59 6.12 0.20 0.90 182
906405 2 1276.23 -0.45 1.32 0.64 0.63 19
906405 3 775.60 -2.23 5.06 0.77 0.51 19
Table 77. Multiple regression results for set 4 (both load and overburden with K0 values of 2.0 and 1.0 for base and subbase/subgrade layers, respectively)
    Set 4: Load & Overburden, k0 = 2.0, 1.0
Section Layer k1 k2 k3 r2 Se/Sy n
040113 2 794.49 -0.38 1.43 0.86 0.38 41
040113 3 569.77 -1.02 3.66 0.85 0.40 88
040114 2 1410.32 -0.95 3.05 0.75 0.56 11
040114 3 1801.15 -0.31 2.97 0.34 0.91 11
041024 2 1427.35 -0.60 -0.27 0.72 0.55 31
041024 3 724.80 -2.91 7.71 0.41 0.79 36
081053 2 1687.40 -0.10 0.91 0.85 0.41 28
081053 3 734.30 -0.84 3.99 0.70 0.58 19
091803 2 1328.95 -0.71 2.38 0.69 0.56 240
131005 2 1049.00 -0.75 2.20 0.68 0.58 66
131005 3 819.89 -1.01 9.27 0.43 0.76 66
131031 2 4406.89 -0.18 -1.47 0.34 0.83 50
131031 3 1361.67 -0.45 -7.45 0.26 0.87 115
161010 2 3858.45 -0.01 0.54 0.02 1.03 27
161010 3 162.73 -4.62 14.87 0.72 0.54 59
231026 2 1558.81 -0.84 2.02 0.64 0.60 166
231026 3 984.64 -6.02 14.19 0.53 0.69 166
251002 2 1129.93 -0.25 0.93 0.76 0.50 38
251002 3 297.87 -0.61 6.52 0.74 0.51 188
271018 2 1091.74 -0.32 1.62 0.86 0.39 34
271028 3 576.52 -2.69 7.79 0.58 0.65 80
276251 2 1809.70 -0.30 1.83 0.60 0.66 23
308129 2 862.64 -0.86 2.11 0.76 0.50 146
308129 3 2872.10 -4.90 7.21 0.28 0.86 104
331001 2 1161.50 -0.83 2.76 0.76 0.49 226
331001 3 206.03 -2.31 23.33 0.38 0.79 226
351112 2 1660.70 -0.23 1.97 0.64 0.60 300
351112 3 235.52 -4.49 12.74 0.75 0.50 316
481077 2 2077.54 -0.25 1.16 0.68 0.57 463
481077 3 1682.95 -0.16 0.90 0.01 1.00 517
491001 2 893.57 -0.40 0.64 0.76 0.52 21
491001 3 354.65 -1.07 6.58 0.56 0.70 23
501002 2 2012.55 -1.47 2.21 0.66 0.58 325
561007 2 1525.87 -0.24 0.25 0.51 0.71 121
561007 3 504.41 -2.02 3.91 0.42 0.77 121
831801 3 191.00 -1.23 9.36 0.30 0.88 21
871622 2 1748.98 -0.12 1.22 0.81 0.43 145
871622 3 575.42 -1.59 6.12 0.20 0.90 182
906405 2 1389.72 -0.50 1.31 0.70 0.58 19
906405 3 775.60 -2.23 5.06 0.77 0.51 19
Table 78. Multiple regression results for set 5 (octahedral shear stress based on computed for load stresses only, K0 values of 2.0 and 1.0 for base and subbase/subgrade layers, respectively)
Section Layer k1 k2 k3 r2 Se/Sy n
040113 2 763.22 -0.38 1.47 0.87 0.37 41
040113 3 569.77 -1.02 3.66 0.85 0.40 88
040114 2 93.77 -0.99 1.13 0.76 0.55 11
040114 3 1801.15 -0.31 2.97 0.34 0.91 11
041024 2 1462.56 -0.62 -0.41 0.72 0.54 31
041024 3 724.80 -2.91 7.71 0.41 0.79 36
081053 2 1656.90 -0.09 0.93 0.85 0.40 28
081053 3 734.30 -0.84 3.99 0.70 0.58 19
091803 2 1189.00 -0.71 2.50 0.69 0.56 240
131005 2 973.39 -0.74 2.26 0.68 0.57 66
131005 3 819.89 -1.01 9.27 0.43 0.76 66
131031 2 4795.73 -0.18 -1.61 0.34 0.83 50
131031 3 1361.67 -0.45 -7.45 0.26 0.87 115
161010 2 3716.49 -0.01 0.66 0.02 1.03 27
161010 3 162.73 -4.62 14.87 0.72 0.54 59
231026 2 1393.96 -0.84 2.12 0.64 0.61 166
231026 3 984.64 -6.02 14.19 0.53 0.69 166
251002 2 1096.84 -0.25 0.96 0.77 0.50 38
251002 3 297.87 -0.61 6.52 0.74 0.51 188
271018 2 1057.94 -0.32 1.62 0.85 0.40 34
271028 3 576.52 -2.69 7.79 0.58 0.65 80
276251 2 1648.88 -0.32 1.97 0.64 0.63 23
308129 2 780.08 -0.81 2.16 0.74 0.51 146
308129 3 2872.10 -4.90 7.21 0.28 0.86 104
331001 2 999.51 -0.85 2.74 0.78 0.47 226
331001 3 206.03 -2.31 23.33 0.38 0.79 226
351112 2 1579.95 -0.22 2.01 0.64 0.60 300
351112 3 235.52 -4.49 12.74 0.75 0.50 316
481077 2 2001.72 -0.25 1.18 0.68 0.57 463
481077 3 1682.95 -0.16 0.90 0.01 1.00 517
491001 2 880.53 -0.40 0.64 0.76 0.52 21
491001 3 354.65 -1.07 6.58 0.56 0.70 23
501002 2 1767.21 -1.54 2.15 0.70 0.55 325
561007 2 1524.13 -0.24 0.24 0.50 0.71 121
561007 3 504.41 -2.02 3.91 0.42 0.77 121
831801 3 191.00 -1.23 9.36 0.30 0.88 21
871622 2 1694.34 -0.12 1.24 0.82 0.43 145
871622 3 575.42 -1.59 6.12 0.20 0.90 182
906405 2 1329.92 -0.49 1.34 0.67 0.61 19
906405 3 775.60 -2.23 5.06 0.77 0.51 19
Table 79. Multiple regression results for set 6 (bulk and octahedral shear stress computed based on load only)
Section Layer k1 k2 k3 r2 Se/Sy n
040113 2 738.37 -0.21 1.29 0.82 0.43 139
040113 3 246.91 -0.48 7.44 0.53 0.69 141
040114 2 947.43 -0.47 3.12 0.72 0.57 15
040114 3 1917.47 -0.01 2.51 0.35 0.87 15
041024 2 961.57 -0.23 1.08 0.61 0.64 43
041024 3 411.49 -0.44 7.62 0.33 0.83 66
081053 2 1686.24 -0.10 0.81 0.69 0.58 38
081053 3 456.58 -0.44 5.27 0.76 0.49 118
091803 2 976.20 -0.23 2.67 0.68 0.57 323
131005 2 1062.33 -0.18 1.76 0.57 0.66 76
131005 3 738.28 -0.15 7.83 0.38 0.80 78
131031 2 4579.75 0.01 -1.35 0.72 0.68 6
131031 3 405.53 -0.32 2.81 0.79 0.46 138
161010 2 1506.32 -0.20 2.35 0.66 1.01 4
161010 3 316.30 -0.13 15.49 0.28 0.87 46
231026 2 1076.09 -0.27 2.17 0.62 0.62 187
231026 3 226.75 -0.74 13.95 0.44 0.75 192
251002 2 784.17 -0.14 1.72 0.82 0.44 33
251002 3 307.00 -0.22 5.59 0.74 0.51 270
271018 2 919.76 -0.30 1.77 0.82 0.42 80
271028 3 483.81 -0.50 8.16 0.60 0.64 80
276251 2 1256.96 -0.18 2.58 0.76 0.52 23
308129 2 584.03 -0.30 2.28 0.73 0.52 217
308129 3 223.89 -0.31 26.09 0.48 0.72 217
331001 2 951.20 -0.08 3.17 0.64 0.60 201
331001 3 150.27 -0.44 21.03 0.35 0.81 245
351112 2 1436.31 -0.19 2.03 0.64 0.60 303
351112 3 164.89 -1.04 13.58 0.77 0.51 337
481077 2 1887.45 -0.14 1.16 0.65 0.59 505
481077 3 526.13 -0.44 7.11 0.22 0.88 573
491001 2 964.72 -0.06 0.69 0.38 0.81 40
491001 3 185.72 -0.39 9.33 0.30 0.84 105
501002 2 1319.73 -0.19 2.34 0.63 0.61 387
561007 2 1202.55 -0.44 0.67 0.73 0.52 147
561007 3 472.42 -0.42 2.76 0.33 0.82 151
831801 3 146.47 -0.73 9.19 0.31 0.87 21
871622 2 1547.85 -0.09 1.31 0.81 0.44 141
871622 3 410.74 -0.52 6.56 0.22 0.89 211
906405 2 1234.98 -0.40 1.26 0.61 0.66 21
906405 3 533.69 -0.47 4.90 0.74 0.54 21
Table 80. Multiple regression results for set 7 (bulk stress computed based on load stresses only, octahedral shear stress computed based on both load and overburden with K0 values of 0.7 and 0.5 for base and subbase/subgrade layers, respectively)
Section Layer k1 k2 k3 r2 Se/Sy n
040113 2 667.16 -0.27 1.56 0.90 0.33 40
040113 3 115.20 -0.59 10.13 0.41 0.78 88
040114 2 1050.50 -0.38 2.80 0.71 0.61 11
040114 3 1075.57 -0.12 4.91 0.57 0.73 11
041024 2 902.12 -0.25 1.44 0.66 0.62 21
041024 3 295.52 -0.48 6.70 0.37 0.82 36
081053 2 1595.86 -0.07 0.92 0.81 0.46 18
081053 3 401.69 -0.39 5.37 0.79 0.49 19
091803 2 961.16 -0.21 2.78 0.67 0.58 227
131005 2 1031.14 -0.18 1.79 0.57 0.67 64
131005 3 419.06 -0.17 9.41 0.46 0.75 66
131031 3 381.02 -0.31 2.67 0.81 0.44 115
161010 2 1777.41 -0.19 1.63 0.51 1.21 4
161010 3 165.62 -0.25 11.27 0.22 0.90 44
231026 2 1054.38 -0.27 2.16 0.63 0.62 163
231026 3 90.93 -0.75 14.57 0.35 0.81 166
251002 2 753.61 -0.10 1.95 0.87 0.38 25
251002 3 279.62 -0.21 5.52 0.72 0.53 188
271018 2 923.62 -0.21 1.74 0.82 0.44 33
271028 3 557.45 -0.33 6.69 0.53 0.69 80
276251 2 1252.19 -0.17 2.51 0.70 0.58 21
308129 2 588.59 -0.29 2.18 0.76 0.49 146
308129 3 178.74 -0.36 6.12 0.52 0.70 104
331001 2 833.02 -0.12 3.22 0.78 0.48 188
331001 3 31.25 -0.71 23.69 0.38 0.79 226
351112 2 1423.09 -0.18 2.06 0.63 0.61 282
351112 3 110.33 -0.99 13.22 0.70 0.55 316
481077 2 1791.16 -0.14 1.25 0.68 0.56 430
481077 3 418.46 -0.42 6.70 0.22 0.89 517
491001 2 886.82 -0.10 1.16 0.61 0.69 12
491001 3 189.31 -0.35 6.55 0.29 0.88 23
501002 2 1250.56 -0.19 2.40 0.64 0.60 314
561007 2 1282.97 -0.43 0.56 0.74 0.52 118
561007 3 200.90 -0.63 5.94 0.48 0.73 121
831801 3 118.54 -0.73 9.19 0.31 0.87 21
871622 2 1561.41 -0.09 1.29 0.80 0.45 121
871622 3 376.59 -0.49 6.01 0.41 0.77 182
906405 2 1198.44 -0.42 1.32 0.64 0.63 19
906405 3 438.83 -0.47 4.76 0.66 0.62 19
Table 81. Regression results for individual layers using Model 2A
Section Layer Class c0 c1 k2 k3 n r2(logE) % Bias(E) Se/Sy(E)
040113 2 A-1-a 3.035 -0.093 -0.193 1.728 63 0.89 0 0.34
040113 3 A-1-b 3.162 0.827 -0.594 5.584 110 0.83 0 0.41
040113 4 A-1-b 3.698 0.870 -0.154 -51.92 110 0.67 0 0.58
040114 2 A-1-a 3.742 -1.621 -0.446 3.418 13 0.79 0 0.53
040114 3 A-2-4 4.180 0.395 -1.315 8.976 13 0.57 0 0.76
040114 4 A-2-4 -12.06 -6.356 4.812 -160.1 13 0.82 0 0.48
041024 2 A-1-a 3.527 -0.377 -0.479 0.286 17 0.82 -1 0.45
041024 3 A-2-6 5.307 0.503 -3.126 27.90 18 0.95 0 0.24
041024 4 A-2-6 0.599 1.321 2.855 -22.60 17 0.82 0 0.46
081053 2 A-1-a 3.406 -0.107 -0.152 0.673 35 0.91 0 0.33
081053 3 A-1-a 3.116 0.500 -0.377 4.327 43 0.76 0 0.52
091803 2 A-1-a 3.890 -2.182 -0.487 2.923 288 0.84 -1 0.45
131005 2 A-1-a 3.507 -0.791 -0.486 2.417 76 0.70 -1 0.57
131005 3 A-4 4.516 -1.940 -1.388 15.09 76 0.76 0 0.51
131005 4 A-4 4.619 -0.612 -1.047 0.973 76 0.59 0 0.64
131031 2 A-1-b 4.087 -0.872 -0.485 -2.568 77 0.66 -1 0.66
131031 3 A-4 4.024 -2.882 -0.206 -10.63 107 0.53 -1 0.68
131031 4 A-4 1.815 -0.442 0.211 -84.90 107 0.19 0 0.91
161010 2 A-1-a 3.588 1.062 -0.450 -2.325 31 0.81 -1 0.48
161010 3 A-2-4 4.736 0.478 -3.011 28.28 31 0.60 -1 0.66
161010 4 A-2-4 -5.557 0.615 10.57 -59.34 31 0.76 -1 0.61
231026 2 A-1-a 3.564 -1.184 -0.407 2.332 191 0.72 -1 0.55
231026 3 A-1-b 6.980 0.880 -4.558 32.11 191 0.88 0 0.36
241634 3 A-4 3.884 -3.069 -0.709 7.570 109 0.87 -1 0.36
241634 4 A-4 4.245 -3.433 0.393 -2.684 109 0.35 0 0.83
251002 2 A-1-a 3.157 -1.569 -0.152 2.080 15 0.99 0 0.14
251002 3 A-1-b 3.219 -0.466 -0.727 8.243 15 0.87 0 0.37
251002 4 A-3 3.361 -0.684 0.031 0.669 15 0.27 0 0.96
271018 2 A-1-b 3.360 -1.483 -0.185 2.037 33 0.92 0 0.31
271018 3 A-3 4.149 -1.709 -1.066 0.272 33 0.38 0 0.83
271028 3 A-1-b 4.991 0.420 -2.931 13.49 80 0.81 0 0.44
271028 4 A-1-b 4.295 -0.029 -1.390 5.667 80 0.04 0 1.00
276251 2 A-1-b 3.069 3.470 -0.249 1.424 13 0.57 0 0.76
276251 3 A-3 4.017 0.277 -1.250 5.144 13 0.92 0 0.32
308129 2 A-1-a 3.155 0.305 -0.410 2.347 201 0.78 0 0.47
308129 3 A-6 7.503 1.782 -4.156 15.89 178 0.75 0 0.50
331001 2 A-1-a 3.267 0.494 -0.471 3.013 216 0.84 0 0.38
331001 3 A-1-b 5.618 0.109 -4.429 56.53 216 0.85 -1 0.61
331001 4 A-2-4 2.754 -0.295 1.330 -10.32 216 0.25 -1 0.86
351112 2 A-2-4 3.301 0.414 -0.138 1.932 300 0.62 -5 0.81
351112 3 A-3 5.252 -2.099 -3.216 15.31 321 0.85 -1 0.40
351112 4 A-3 3.011 0.099 0.809 -6.150 276 0.30 0 0.84
481077 2 A-1-a 3.350 0.998 -0.196 1.224 486 0.75 -1 0.52
481077 3 A-4 3.322 0.138 -0.157 1.515 533 0.03 -1 1.00
491001 2 A-1-b 3.161 0.879 -0.317 0.178 11 0.78 -1 0.64
491001 3 A-2-4 4.542 0.994 -3.218 22.36 11 0.86 0 0.49
491001 4 A-2-4 1.124 2.297 2.573 -15.59 10 0.80 0 0.57
501002 2 A-1-a 3.709 -0.009 -0.671 2.148 356 0.71 -1 0.55
561007 2 A-1-a 3.381 -0.961 -0.160 0.824 107 0.87 0 0.37
561007 3 A-2-4 4.288 -0.604 -1.928 9.214 107 0.38 0 0.80
831801 2 A-1-a 5.274 -10.58 0.139 2.065 5 0.99 0 0.27
831801 3 A-2-6 12.61 -59.78 0.274 -3.569 5 0.99 0 0.13
831801 4 A-2-4 4.083 -2.405 -0.253 0.292 5 1.00 0 0.11
871622 2 A-1-b 3.367 -0.290 -0.121 1.149 198 0.91 0 0.32
871622 3 A-1-b 4.110 0.274 -1.924 11.69 198 0.55 0 0.69
871622 4 A-4 2.948 -0.420 0.888 -5.957 198 0.16 0 0.92
906405 2 A-1-a 3.586 -2.412 -0.126 1.330 18 0.83 0 0.44
906405 3 A-1-b 4.494 0.868 -2.137 9.654 18 0.89 0 0.38
906405 4 A-1-b 0.848 0.367 3.120 -14.72 18 0.47 0 0.80
Table 82. Regression results for individual layers using Model 2B
Section Layer c0 c1 c2 c2' c3 c3' n r2(log E) %Bias(E) Se/Sy(E)
040113 2 3.227 -1.360 -0.358 1.067 1.396 1.907 63 0.91 0 0.25
040113 3 2.890 4.277 0.293 -9.462 -5.314 106.5 110 0.87 0 0.33
040113 4 3.619 1.184 -0.143 0 -26.25 -216.2 110 0.67 0 0.48
040114 2 3.742 -1.621 -0.446 0 3.418 0 13 0.79 0 0.53
040114 3 4.567 -1.212 -1.420 0 -8.939 95.32 13 0.59 0 0.78
040114 4 -31.18 0 10.81 -4.942 -617.3 2259 13 0.85 0 0.48
041024 2 3.566 -0.340 -0.073 -2.324 -3.455 17.83 17 0.84 -1 0.46
041024 3 3.602 9.519 -1.327 -9.565 28.45 0 18 0.96 0 0.24
041024 4 3.269 -10.43 0 12.54 -14.54 -33.37 17 0.83 0 0.47
081053 2 2.877 3.140 -0.094 -0.327 2.534 -11.42 35 0.92 0 0.31
081053 3 2.377 4.706 1.196 -8.858 -2.791 39.80 43 0.81 0 0.47
081053 4 24.20 -42.19 -25.57 52.95 -12.47 48.68 46 0.76 0 0.56
091803 2 4.104 -3.141 0.495 -4.369 -7.524 46.69 288 0.85 -1 0.40
091803 3 28.21 -101.3 -28.80 116.2 158.0 -620.8 288 0.44 -1 0.76
091803 4 3.916 -1.934 -0.234 1.455 -3.159 -10.64 293 0.27 -1 0.86
131005 2 3.109 1.268 -0.670 0.721 8.117 -28.25 76 0.75 -1 0.45
131005 3 4.784 -2.763 0.000 -6.867 -42.80 271.3 76 0.82 0 0.40
131005 4 5.046 -3.968 -1.470 3.498 0 -0.477 76 0.60 0 0.58
131031 2 4.005 -0.402 -0.542 0.335 -2.007 -3.075 77 0.66 -1 0.65
131031 3 4.293 -4.227 -0.693 2.425 -5.834 -24.00 107 0.54 -1 0.68
131031 4 2.673 -5.108 0 1.144 924.0 -5451 107 0.19 0 0.92
161010 2 3.645 0.654 -0.879 3.573 -4.075 14.09 31 0.82 0 0.47
161010 3 4.870 6.843 0 -27.43 -226.4 1531 31 0.80 -1 0.50
161010 4 3.118 -29.80 0 37.05 0 -208.7 31 0.76 -1 0.61
231026 2 3.455 -0.331 0.149 -4.622 -0.704 26.04 191 0.74 -1 0.51
231026 3 5.448 8.607 -2.881 -8.455 24.23 40.05 191 0.88 0 0.35
231026 4 1.289 3.366 2.533 -3.678 -11.52 0 173 0.32 -1 0.81
241634 3 3.985 -3.291 0.758 -6.616 -22.41 127.6 109 0.90 -1 0.32
241634 4 4.276 -3.545 0 1.346 1.606 -14.59 109 0.35 0 0.83
251002 2 3.279 -2.621 -0.296 1.203 1.829 2.318 15 0.99 0 0.11
251002 3 4.022 -6.274 -0.799 0 0 67.14 15 0.92 0 0.26
251002 4 4.758 -18.39 0.811 0 -30.72 286.5 15 0.89 0 0.38
271018 2 3.506 -2.542 0.006 -1.417 0.613 10.46 33 0.92 0 0.28
271018 3 9.343 -30.04 -8.715 42.09 -22.97 123.1 33 0.42 0 0.74
271018 4 7.363 -21.09 -3.423 15.84 -13.82 0 33 0.96 0 0.23
271028 3 5.447 -5.033 -3.606 8.090 14.31 -10.31 80 0.81 0 0.44
271028 4 3.245 7.275 0 -9.242 2.589 -0.430 80 0.04 0 1.02
276251 2 2.519 7.920 0 -2.087 4.670 -25.84 13 0.57 0 0.80
276251 3 3.179 10.79 -0.542 -8.201 15.59 -147.0 13 0.98 0 0.23
276251 4 32.38 0 -20.90 -2.563 0 3256 13 0.84 0 0.43
308129 2 3.116 0.778 -0.413 0.052 2.761 -5.050 201 0.78 0 0.47
308129 3 4.954 9.881 -2.178 -6.309 20.38 -9.492 178 0.78 0 0.48
331001 2 2.756 5.604 0.200 -6.785 7.538 -45.06 216 0.85 0 0.36
331001 3 5.929 -1.873 -4.862 2.760 60.54 -25.53 216 0.86 -1 0.61
331001 4 -0.115 11.76 5.483 -17.44 -44.73 143.0 216 0.28 -1 0.85
351112 2 3.710 -4.822 -0.337 2.487 -0.477 30.71 300 0.64 -4 0.79
351112 3 5.644 -9.892 -4.095 17.82 19.94 -94.35 321 0.86 -1 0.40
351112 4 3.549 -2.041 0 3.211 -3.802 -9.076 276 0.30 0 0.84
481077 2 3.234 2.196 -0.308 1.015 2.396 -11.56 486 0.76 -1 0.47
481077 3 4.508 -6.076 -1.867 8.936 5.899 -21.99 533 0.04 -1 0.90
491001 2 4.396 -8.898 -0.189 -1.094 -9.670 78.05 11 0.81 -1 0.49
491001 3 2.765 9.749 0 -15.86 -10.47 161.5 1 0.85 0 0.37
491001 4 -1.574 26.19 5.685 -26.43 0 -209.3 10 0.93 0 0.25
501002 2 3.674 0.288 -0.549 -0.991 1.272 6.927 356 0.71 -1 0.55
501002 3 3.040 7.342 -0.080 -7.142 18.34 -21.21 356 0.47 -4 0.73
501002 4 10.28 -17.79 -6.473 16.60 24.18 -54.89 141 0.50 -1 0.70
561007 2 2.977 1.636 -0.349 1.218 3.501 -17.15 107 0.87 0 0.37
561007 3 3.012 6.577 0 -10.85 2.634 36.99 107 0.39 0 0.80
561007 4 3.814 0 -0.505 -1.930 -9.932 77.36 104 0.41 0 0.77
831801 2 5.516 -11.69 0 0.612 0 9.609 5 0.99 0 0.27
831801 3 12.68 -60.23 0 1.702 0 -22.12 5 0.99 0 0.13
831801 4 3.992 -1.638 0 -2.127 0 7.923 5 1.00 0 0.12
871622 2 3.396 -0.538 -0.148 0.222 1.030 1.012 198 0.91 0 0.32
871622 3 1.376 28.37 3.648 -56.93 -23.23 354.2 198 0.63 0 0.63
871622 4 3.610 -3.656 0 4.246 -7.427 10.06 198 0.17 0 0.92
906405 2 2.133 7.347 -1.474 8.739 17.89 -108.8 18 0.90 0 0.37
906405 3 3.002 11.45 0 -15.23 3.277 46.57 18 0.89 0 0.39
906405 4 3.392 -12.51 0 15.81 -6.878 -40.01 18 0.46 0 0.84
Table 83. Goodness-of-fit statistics for Models 1 and 2
Section Layer n1 n2 Se/Sy % Bias
1 2A 2B 1 2A 2B
040113 2 63 63 0.59 0.34 0.25 0 0 0
040113 3 110 110 0.33 0.41 0.33 0 0 0
040113 4 110 110 0.57 0.58 0.48 0 0 0
040114 2 13 13 0.88 0.53 0.53 5 0 0
040114 3 13 13 0.77 0.76 0.78 0 0 0
040114 4 13 13 0.52 0.48 0.48 0 0 0
041024 2 16 17 0.49 0.45 0.46 -1 -1 -1
041024 3 18 18 0.26 0.24 0.24 0 0 0
041024 4 17 17 0.46 0.46 0.47 0 0 0
081053 2 21 35 0.47 0.33 0.31 0 0 0
081053 3 43 43 0.45 0.52 0.47 0 0 0
091803 2 288 288 0.69 0.45 0.40 -1 -1 -1
131005 2 76 76 0.58 0.57 0.45 -1 -1 -1
131005 3 76 76 0.53 0.51 0.40 0 0 0
131005 4 76 76 0.65 0.64 0.58 0 0 0
131031 2 30 77 0.77 0.66 0.65 -1 -1 -1
131031 3 107 107 0.73 0.68 0.68 -1 -1 -1
131031 4 107 107 0.91 0.91 0.92 0 0 0
161010 2 2 31 0.48 0.47 -1 0
161010 3 31 31 0.66 0.66 0.50 -1 -1 -1
161010 4 31 31 0.61 0.61 0.61 -1 -1 -1
231026 2 191 191 0.54 0.55 0.51 -1 -1 -1
231026 3 191 191 0.36 0.36 0.35 0 0 0
241634 3 109 109 0.38 0.36 0.32 -1 -1 -1
241634 4 109 109 0.84 0.83 0.83 0 0 0
251002 2 14 15 0.35 0.14 0.11 -1 0 0
251002 3 15 15 0.38 0.37 0.26 0 0 0
251002 4 15 15 0.97 0.96 0.38 0 0 0
271018 2 33 33 0.42 0.31 0.28 -1 0 0
271018 3 33 33 0.83 0.83 0.74 0 0 0
271028 3 80 80 0.45 0.44 0.44 0 0 0
271028 4 80 80 1.01 1.00 1.02 0 0 0
276251 2 13 13 0.66 0.76 0.80 0 0 0
276251 3 13 13 0.32 0.32 0.23 0 0 0
308129 2 201 201 0.48 0.47 0.47 0 0 0
308129 3 178 178 0.49 0.50 0.48 0 0 0
331001 2 216 216 0.48 0.38 0.36 -1 0 0
331001 3 216 216 0.63 0.61 0.61 -1 -1 -1
331001 4 216 216 0.86 0.86 0.85 -1 -1 -1
351112 2 285 300 0.85 0.81 0.79 -5 -5 -4
351112 3 321 321 0.37 0.40 0.40 -1 -1 -1
351112 4 276 276 0.84 0.84 0.84 0 0 0
481077 2 467 486 0.61 0.52 0.47 -1 -1 -1
481077 3 533 533 0.97 1.00 0.90 -1 -1 -1
491001 2 7 11 0.50 0.64 0.49 0 -1 -1
491001 3 11 11 0.45 0.49 0.37 0 0 0
491001 4 10 10 0.59 0.57 0.25 0 0 0
501002 2 356 356 0.55 0.55 0.55 -1 -1 -1
561007 2 104 107 0.54 0.37 0.37 0 0 0
561007 3 107 107 0.80 0.80 0.80 0 0 0
831801 2 1 5 0.27 0.27 0 0
831801 3 5 5 0.19 0.13 0.13 0 0 0
831801 4 5 5 0.05 0.11 0.12 0 0 0
871622 2 143 198 0.41 0.32 0.32 0 0 0
871622 3 198 198 0.69 0.69 0.63 0 0 0
871622 4 198 198 0.93 0.92 0.92 0 0 0
906405 2 18 18 0.42 0.44 0.37 0 0 0
906405 3 18 18 0.38 0.38 0.39 0 0 0
906405 4 18 18 0.75 0.80 0.84 0 0 0
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