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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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The Federal Highway Administration (FHWA) is a part of the U.S. Department of Transportation and is headquartered in Washington, D.C., with field offices across the United States. is a major agency of the U.S. Department of Transportation (DOT).
The Federal Highway Administration (FHWA) is a part of the U.S. Department of Transportation and is headquartered in Washington, D.C., with field offices across the United States. is a major agency of the U.S. Department of Transportation (DOT). Provide leadership and technology for the delivery of long life pavements that meet our customers needs and are safe, cost effective, and can be effectively maintained. Federal Highway Administration's (FHWA) R&T Web site portal, which provides access to or information about the Agency’s R&T program, projects, partnerships, publications, and results.
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