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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	S_e/S_y(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	S_e/S_y	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	S_e/S_y	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	S_e/S_y	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	S_e/S_y	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	S_e/S_y	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	S_e/S_y	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	S_e/S_y	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)	S_e/S_y(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)	S_e/S_y(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	S_e/S_y			% Bias
Section	Layer	n₁	n₂	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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Page Owner: Office of Research, Development, and Technology, Office of Infrastructure RDT

Topics: research, infrastructure, pavements and materials
Keywords: research, infrastructure, pavements and materials,LLTPP, Seasonal Monitoring Program, modulus, pavement, Enhanced Integrated Climatic Model, linear layered elastic theory
TRT Terms: research, facilities, transportation, highway facilities, roads, parts of roads, pavements
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This page last modified on 03/08/2016