U.S. Department of Transportation
Federal Highway Administration
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Federal Highway Administration Research and Technology
Coordinating, Developing, and Delivering Highway Transportation Innovations
REPORT |
This report is an archived publication and may contain dated technical, contact, and link information |
|
Publication Number: FHWA-HRT-12-023 Date: December 2012 |
Publication Number: FHWA-HRT-12-023 Date: December 2012 |
Table 49. Pre-screening of deflection variables for roughness-based logistic model for flexible pavements.
Variable |
Pearson R2 |
Sig (2-tailed) |
Selected Parameter for Further Analysis (Y/N) |
---|---|---|---|
CI6(μm) |
-0.178370162 |
4.29226E-06 |
Y |
D4 (μm) |
-0.167037282 |
1.70543E-05 |
Y |
D3 (μm) |
-0.164112365 |
2.40023E-05 |
Y |
D5 (μm) |
-0.16348482 |
2.58087E-05 |
Y |
I3 (1/ μm) |
0.157423073 |
5.13086E-05 |
Y |
I4 (1/μm) |
0.156412322 |
5.73986E-05 |
Y |
CI5 (μm) |
-0.155825464 |
6.12415E-05 |
Y |
D2 (μm) |
-0.1543182 |
7.22556E-05 |
Y |
I2 (1/μm) |
0.153150944 |
8.20426E-05 |
Y |
S7_adj(μm) |
-0.145537369 |
0.000183728 |
Y |
I1 (1/μm) |
0.145204065 |
0.000190161 |
Y |
Hogg(MPa) |
0.144599721 |
0.000202367 |
Y |
D6 (μm) |
-0.141494246 |
0.000277534 |
Y |
I5 (1/μm) |
0.141103268 |
0.000288662 |
Y |
CI4 (μm) |
-0.140740184 |
0.000299369 |
Y |
D1 (μm) |
-0.13426463 |
0.000564927 |
Y |
S7 (μm) |
-0.128831936 |
0.000942315 |
Y |
CI3 (μm) |
-0.116143945 |
0.002890483 |
Y |
S6 (μm) |
-0.115692158 |
0.003002481 |
Y |
TA7 |
-0.11326404 |
0.00367494 |
Y |
F6 |
-0.112768646 |
0.003827883 |
Y |
RA7 |
-0.1106046 |
0.004565907 |
Y |
S5 (μm) |
-0.103761014 |
0.007821201 |
Y |
CI2 (μm) |
-0.096945272 |
0.012986893 |
Y |
I6 (1/μm) |
0.095691166 |
0.014212626 |
Y |
S4 (μm) |
-0.094183161 |
0.015820468 |
Y |
RA2 |
0.091226217 |
0.0194418 |
Y |
TA3 |
0.089415962 |
0.021998853 |
Y |
RA3 |
0.086226561 |
0.027217802 |
Y |
F5 |
-0.082867329 |
0.033834195 |
Y |
D7 (μm) |
-0.07998036 |
0.040572597 |
Y |
S3 (μm) |
-0.07923162 |
0.04249503 |
Y |
TA6 |
-0.078396572 |
0.044729169 |
Y |
TA2 |
0.078323562 |
0.04492912 |
Y |
RA6 |
-0.073234091 |
0.060841102 |
N |
CI1 (μm) |
-0.066884912 |
0.086944662 |
N |
S2 (μm) |
-0.066884912 |
0.086944662 |
N |
RoC |
0.063457987 |
0.104406829 |
N |
F4 |
-0.056337502 |
0.149489485 |
N |
ELMOD E_sg (MPa) |
0.052969563 |
0.175402664 |
N |
F3 |
-0.046275974 |
0.236564727 |
N |
F1_adj |
-0.040754908 |
0.297283156 |
N |
TA5 |
-0.040536443 |
0.299882421 |
N |
RA5 |
-0.035445108 |
0.364728857 |
N |
D0_adj (μm) |
-0.032754064 |
0.402290133 |
N |
RA1 |
0.029409516 |
0.452064746 |
N |
TA1 |
0.025467297 |
0.514954392 |
N |
S6_adj (μm) |
-0.021204611 |
0.587730186 |
N |
S4_adj (μm) |
0.019039547 |
0.626425273 |
N |
D8 (μm) |
0.018874369 |
0.629421864 |
N |
S3_adj (μm) |
0.018313619 |
0.639639986 |
N |
D9 (μm) |
0.017910311 |
0.647031718 |
N |
TA4 |
-0.017904864 |
0.64713179 |
N |
I7 (1/μm) |
0.015566382 |
0.690661398 |
N |
TA1_adj |
0.014938567 |
0.702531384 |
N |
RA4 |
-0.01483872 |
0.704425947 |
N |
F2 |
0.014184956 |
0.716875694 |
N |
S5_adj (μm) |
0.007559144 |
0.846769384 |
N |
SNeff_adj |
0.007200049 |
0.853964888 |
N |
SNeff |
0.00667353 |
0.864536983 |
N |
CI1_adj (μm) |
0.005064275 |
0.896991944 |
N |
S2_adj (μm) |
0.005064275 |
0.896991944 |
N |
Note: Variables without units are dimensionless. 1 μm = 0.039 mil 1 MPa = 145.03 psi 1 1/μm = 25.4 1/mil |
Table 50. Pre-screening of deflection variables for rutting-based logistic model for flexible pavements.
Variable | Pearson R2 | Sig (2-tailed) | Selected Parameter for Further Analysis (Y/N) |
---|---|---|---|
S7_adj (μm) |
-0.167153505 |
5.79988E-05 |
Y |
S4 (μm) |
-0.159500041 |
0.000125945 |
Y |
S5 (μm) |
-0.158999373 |
0.00013234 |
Y |
D1 (μm) |
-0.158966299 |
0.000132772 |
Y |
S7 (μm) |
-0.157046194 |
0.000160318 |
Y |
S6 (μm) |
-0.155896287 |
0.000179293 |
Y |
S3 (μm) |
-0.154475825 |
0.000205643 |
Y |
CI2 (μm) |
-0.154290947 |
0.000209328 |
Y |
CI1 (μm) |
-0.152277305 |
0.000253673 |
Y |
S2 (μm) |
-0.152277305 |
0.000253673 |
Y |
CI3 (μm) |
-0.151222309 |
0.000280276 |
Y |
D2 (μm) |
-0.150224418 |
0.000307818 |
Y |
D0_adj (μm) |
-0.146393262 |
0.000438791 |
Y |
S6_adj (μm) |
-0.142390152 |
0.000629805 |
Y |
D3 (μm) |
-0.138246877 |
0.000906671 |
Y |
I2 (1/μm) |
0.13559866 |
0.001138587 |
Y |
I1 (1/μm) |
0.134151486 |
0.001287334 |
Y |
Hogg(MPa) |
0.134129037 |
0.001289776 |
Y |
I3 (1/μm) |
0.131225181 |
0.001644168 |
Y |
CI4 (μm) |
-0.128016379 |
0.002138211 |
Y |
S5_adj (μm) |
-0.119820535 |
0.004075148 |
Y |
I4 (1/μm) |
0.118144701 |
0.004628285 |
Y |
CI1_adj (μm) |
-0.114405717 |
0.006113999 |
Y |
S2_adj (μm) |
-0.114405717 |
0.006113999 |
Y |
F1_adj |
-0.112114422 |
0.007223881 |
Y |
TA5 |
-0.110044615 |
0.008378028 |
Y |
RA5 |
-0.10896261 |
0.009044589 |
Y |
D4 (μm) |
-0.108718381 |
0.009201425 |
Y |
I5 (1/μm) |
0.107963358 |
0.009701696 |
Y |
F4 |
-0.107833906 |
0.009789857 |
Y |
TA4 |
-0.10680269 |
0.010517957 |
Y |
F3 |
-0.106526151 |
0.010721206 |
Y |
RA4 |
-0.106305726 |
0.0108857 |
Y |
TA2 |
0.102916715 |
0.013711708 |
Y |
S4_adj (μm) |
-0.102089477 |
0.014492741 |
Y |
RA2 |
0.101108758 |
0.015469154 |
Y |
S3_adj (μm) |
-0.099499097 |
0.017197161 |
Y |
RA6 |
-0.095460674 |
0.022294469 |
Y |
RoC |
0.094785846 |
0.023263186 |
Y |
TA6 |
-0.093565581 |
0.025107621 |
Y |
CI5 (μm) |
-0.09292169 |
0.026130799 |
Y |
I6 (1/μm) |
0.091444486 |
0.028614837 |
Y |
D5 (μm) |
-0.090683049 |
0.029972663 |
Y |
RA1 |
0.08641406 |
0.038651129 |
Y |
TA1 |
0.086062505 |
0.039452319 |
Y |
I7 (1/μm) |
0.078829119 |
0.059324557 |
N |
F5 |
-0.077055931 |
0.065294931 |
N |
F2 |
-0.076739951 |
0.066409057 |
N |
CI6 (μm) |
-0.075871511 |
0.069551778 |
N |
D6 (μm) |
-0.073512315 |
0.078708057 |
N |
SNeff |
0.061135443 |
0.143851844 |
N |
SNeff_adj |
0.061050224 |
0.144412359 |
N |
D7 |
-0.058430659 |
0.162468174 |
N |
TA3 |
0.040223503 |
0.336485173 |
N |
Elmod (MPa) |
0.039244059 |
0.348392765 |
N |
RA7 |
-0.037469644 |
0.370636181 |
N |
TA7 |
-0.034111786 |
0.415071049 |
N |
F6 |
-0.029939226 |
0.474446453 |
N |
TA1_adj |
0.020053403 |
0.631919684 |
N |
RA3 |
0.004643708 |
0.911682772 |
N |
Note: Variables without units are dimensionless. |
Table 51. Pre-screening of deflection variables for fatigue cracking-based logistic model for flexible pavements.
Variable | Pearson R2 | Sig (2-tailed) | Selected Parameter for Further Analysis (Y/N) |
---|---|---|---|
D5 (μm) |
-0.157433136 |
0.000613975 |
Y |
D6 (μm) |
-0.154864767 |
0.00075498 |
Y |
D4 (μm) |
-0.154460852 |
0.000779708 |
Y |
CI6 (μm) |
-0.153654425 |
0.000831333 |
Y |
I4 (1/μm) |
0.151051867 |
0.001020282 |
Y |
I2 (1/μm) |
0.149858715 |
0.001119523 |
Y |
I1 (1/μm) |
0.146532512 |
0.001445036 |
Y |
Hogg(MPa) |
0.145504691 |
0.001561978 |
Y |
I3 (1/μm) |
0.145381074 |
0.001576613 |
Y |
I5 (1/μm) |
0.139867364 |
0.002372627 |
Y |
D3 (μm) |
-0.129861295 |
0.004805684 |
Y |
D7 (μm) |
-0.12775584 |
0.005542626 |
Y |
I6 (1/μm) |
0.125224224 |
0.00656233 |
Y |
CI5 (μm) |
-0.123675232 |
0.007266266 |
Y |
D2 (μm) |
-0.120957194 |
0.008666145 |
Y |
I7 (1/μm) |
0.11905933 |
0.009781293 |
Y |
D1_adj (μm) |
-0.115409302 |
0.012289432 |
Y |
CI4 (μm) |
-0.115305763 |
0.012368194 |
Y |
D1 (μm) |
-0.109334164 |
0.017734818 |
Y |
S7 (μm) |
-0.098533789 |
0.03270609 |
Y |
S6 (μm) |
-0.087200407 |
0.058888422 |
Y |
RoC |
0.082914884 |
0.072517007 |
Y |
S5 (μm) |
-0.077466286 |
0.093448944 |
Y |
CI2 (μm) |
-0.07365144 |
0.110792825 |
Y |
S3 (μm) |
-0.06978492 |
0.130861177 |
Y |
S4 (μm) |
-0.068774378 |
0.13654375 |
Y |
CI1 (μm) |
-0.066345399 |
0.15097771 |
Y |
S2 (μm) |
-0.066345399 |
0.15097771 |
Y |
CI3 (μm) |
-0.057965846 |
0.209704568 |
Y |
F5 |
-0.034265062 |
0.458639839 |
Y |
RA2 |
0.033275762 |
0.471722237 |
Y |
TA2 |
0.030577618 |
0.508422251 |
N |
RA5 |
-0.025808734 |
0.576760343 |
N |
RA6 |
-0.025702294 |
0.578333557 |
N |
TA5 |
-0.024710043 |
0.593095202 |
N |
TA6 |
-0.024306983 |
0.599140244 |
N |
TA7 |
0.021979308 |
0.634581271 |
N |
RA7 |
0.020701959 |
0.654398118 |
N |
Elmod (MPa) |
0.020351098 |
0.659884951 |
N |
F3 |
-0.019932256 |
0.666458795 |
N |
F2 |
-0.016123413 |
0.727360242 |
N |
RA 3 |
-0.015665734 |
0.734804513 |
N |
SN eff |
0.014228486 |
0.758340753 |
N |
F6 |
-0.01094936 |
0.812849595 |
N |
TA 3 |
-0.008833073 |
0.848533217 |
N |
RA1 |
0.008637656 |
0.85184507 |
N |
TA1 |
0.007210874 |
0.876100985 |
N |
RA4 |
-0.006796251 |
0.88317262 |
N |
TA4 |
-0.002443006 |
0.957873617 |
N |
F4 |
-0.002248203 |
0.961229969 |
N |
Note: Variables without units are dimensionless. |
Table 52. Pre-screening of deflection variables for drop 2 roughness-based logistic model for rigid pavements.
Variable |
Pearson R2 |
Sig (2-tailed) |
Selected |
---|---|---|---|
CI6 (μm) |
0.290964248 |
0.00023977 |
Y |
D3 (μm) |
0.248633096 |
0.00181135 |
Y |
D2 (μm) |
0.246794947 |
0.001963281 |
Y |
D4 (μm) |
0.245888742 |
0.002042366 |
Y |
D5 (μm) |
0.2456318 |
0.00206531 |
Y |
D6 (μm) |
0.240971679 |
0.002524188 |
Y |
D1 (μm) |
0.229180614 |
0.004124758 |
Y |
S7 (μm) |
0.226764149 |
0.004548299 |
Y |
CI5 (μm) |
0.220848663 |
0.005754184 |
Y |
D7 (μm) |
0.189099045 |
0.018447614 |
Y |
CI4 (μm) |
0.185710522 |
0.020693802 |
Y |
I2 (1/μm) |
-0.17606761 |
0.028420732 |
Y |
I1 (1/μm) |
-0.175443457 |
0.028996223 |
Y |
I3 (1/μm) |
-0.174607503 |
0.029782537 |
Y |
I4 (1/μm) |
-0.169595685 |
0.034887189 |
Y |
I5 (1/μm) |
-0.163303473 |
0.04232556 |
Y |
I6 (1/μm) |
-0.158141519 |
0.049380227 |
Y |
CI3 (μm) |
0.150567999 |
0.061475724 |
N |
S6 (μm) |
0.149266308 |
0.063781117 |
N |
F2 |
-0.133454769 |
0.097830619 |
N |
RA4 |
-0.129301034 |
0.108825846 |
N |
I7 (1/μm) |
-0.122839154 |
0.127826608 |
N |
CI2 (μm) |
0.104097936 |
0.197390008 |
N |
S5 (μm) |
0.101999146 |
0.206626384 |
N |
TA4 |
-0.099066256 |
0.220047952 |
N |
F3 |
-0.095856024 |
0.235435942 |
N |
TA1 |
0.08585525 |
0.288145047 |
N |
TA7 |
0.080398249 |
0.319999581 |
N |
RA7 |
0.076080697 |
0.34675897 |
N |
F6 |
0.073356961 |
0.364344917 |
N |
RA1 |
0.06976884 |
0.388337761 |
N |
S4 (μm) |
0.065926936 |
0.415056855 |
N |
RA5 |
-0.063757985 |
0.430604574 |
N |
RA3 |
-0.040641468 |
0.615601402 |
N |
TA5 |
-0.039568813 |
0.624960894 |
N |
TA2 |
0.033292173 |
0.680894243 |
N |
CI1 (μm) |
-0.022171058 |
0.784217743 |
N |
S2 (μm) |
-0.022171058 |
0.784217743 |
N |
RA6 |
-0.021692424 |
0.788765571 |
N |
TA3 |
-0.013100384 |
0.871475017 |
N |
TA6 |
-0.011709822 |
0.885018028 |
N |
F5 |
0.010944526 |
0.892485894 |
N |
RA2 |
0.008716199 |
0.914281698 |
N |
F4 |
-0.006492686 |
0.936094241 |
N |
S3 (μm) |
0.005354119 |
0.947282974 |
N |
Note: Variables without units are dimensionless. |
Table 53. Pre-screening of deflection variables for drop 2 faulting at joints-based logistic model for rigid pavements.
Variable | Pearson R2 | Sig (2-tailed) | Selected Parameter for Further Analysis (Y/N) |
---|---|---|---|
RA4 |
0.214349291 |
0.011281936 |
Y |
I2 (1/μm) |
0.161565404 |
0.057416035 |
Y |
I3 (1/μm) |
0.160361554 |
0.059323912 |
Y |
I1 (1/μm) |
0.159170852 |
0.061261829 |
Y |
D6 (μm) |
-0.156200068 |
0.066323697 |
Y |
I4 (1/μm) |
0.155593311 |
0.067398334 |
Y |
D4 (μm) |
-0.153028941 |
0.072097672 |
Y |
D7 (μm) |
-0.152695779 |
0.07272723 |
Y |
D5 (μm) |
-0.151896626 |
0.074255495 |
Y |
D2 (μm) |
-0.147777675 |
0.0825488 |
Y |
D3 (μm) |
-0.147476565 |
0.083183089 |
Y |
I5 (1/μm) |
0.141306072 |
0.097062111 |
N |
CI6 (μm) |
-0.139053803 |
0.102562136 |
N |
F2 |
0.134250113 |
0.115110182 |
N |
I6 (1/μm) |
0.130758489 |
0.124957373 |
N |
D1 (μm) |
-0.127324496 |
0.135263402 |
N |
TA4 |
0.127273639 |
0.135420768 |
N |
CI4 (μm) |
-0.126333254 |
0.138355905 |
N |
TA5 |
0.114819951 |
0.178322227 |
N |
CI5 (μm) |
-0.101339581 |
0.235209646 |
N |
CI2 (μm) |
-0.093785547 |
0.27213776 |
N |
I7 (1/μm) |
0.092003504 |
0.281392403 |
N |
S7 (μm) |
-0.090384211 |
0.289982989 |
N |
TA6 |
0.086764329 |
0.309812411 |
N |
RA3 |
0.081777812 |
0.338545115 |
N |
CI1 (μm) |
0.077138643 |
0.366746497 |
N |
S2 (μm) |
0.077138643 |
0.366746497 |
N |
F6 |
-0.075823917 |
0.374994804 |
N |
TA3 |
0.070939348 |
0.406620091 |
N |
F5 |
-0.059745946 |
0.484765826 |
N |
TA2 |
0.052545667 |
0.538994225 |
N |
F3 |
0.051718498 |
0.545411074 |
N |
S3 (μm) |
0.048479555 |
0.5708925 |
N |
RA7 |
-0.048003744 |
0.574682506 |
N |
RA1 |
-0.047770038 |
0.576548354 |
N |
TA7 |
-0.044011956 |
0.606932531 |
N |
S6 (μm) |
-0.042862677 |
0.616363736 |
N |
RA2 |
0.04167614 |
0.626166819 |
N |
RA5 |
0.030637134 |
0.720321778 |
N |
S4 (μm) |
0.030282662 |
0.723425468 |
N |
CI3 (μm) |
-0.019433974 |
0.820364969 |
N |
S5 (μm) |
-0.010779953 |
0.899771713 |
N |
F4 |
0.005368993 |
0.949982837 |
N |
RA6 |
-0.00241349 |
0.977504457 |
N |
TA1 |
-0.000615033 |
0.994266728 |
N |
Note: Variables without units are dimensionless. |
Table 54. Pre-screening of deflection variables for drop 2 transverse cracking-based logistic model for rigid pavements.
Variable |
Pearson R2 |
Sig (2-tailed) |
Selected Parameter for Further Analysis (Y/N) |
---|---|---|---|
TA7 |
-0.319520892 |
0.000126034 |
Y |
RA7 |
-0.309129475 |
0.000213244 |
Y |
CI4 (μm) |
-0.306955021 |
0.000237474 |
Y |
CI6 (μm) |
-0.290660239 |
0.000518252 |
Y |
S7 (μm) |
-0.274478931 |
0.00107596 |
Y |
TA4 |
0.256897328 |
0.002266946 |
Y |
F6 |
-0.247093151 |
0.003362544 |
Y |
CI5 (μm) |
-0.238760097 |
0.004646404 |
Y |
D3 (μm) |
-0.226070126 |
0.007450775 |
Y |
D2 (μm) |
-0.225810314 |
0.007521264 |
Y |
S6 (μm) |
-0.223660568 |
0.00812757 |
Y |
D1 (μm) |
-0.220186286 |
0.00919917 |
Y |
TA5 |
0.220101063 |
0.009226954 |
Y |
D4 (μm) |
-0.215542071 |
0.010825472 |
Y |
TA3 |
0.208771514 |
0.013648107 |
Y |
CI3 (μm) |
-0.205417654 |
0.015270576 |
Y |
F5 |
-0.201190574 |
0.017552769 |
Y |
D5 (μm) |
-0.200505623 |
0.017949136 |
Y |
S5 |
-0.199383576 |
0.018615204 |
Y |
RA3 |
0.194642561 |
0.021671013 |
Y |
TA2 |
0.185174717 |
0.029081989 |
Y |
D6 (μm) |
-0.184261972 |
0.029898859 |
Y |
TA1 |
0.180364803 |
0.033609595 |
Y |
RA4 |
0.17853298 |
0.035484122 |
Y |
RA6 |
-0.166200723 |
0.050535274 |
N |
F4 |
-0.156545559 |
0.065718058 |
N |
I1 (1/μm) |
0.156256774 |
0.066223983 |
N |
S4 (μm) |
-0.150107761 |
0.07777058 |
N |
I2 (1/μm) |
0.147752122 |
0.082602476 |
N |
RA2 |
0.146349322 |
0.085592375 |
N |
I3 (1/μm) |
0.145766991 |
0.086858681 |
N |
RA1 |
0.144649399 |
0.089330809 |
N |
CI2 (μm) |
-0.135085129 |
0.112847157 |
N |
I4 (1/μm) |
0.133642345 |
0.11677941 |
N |
RA5 |
-0.117173684 |
0.16952878 |
N |
I5 (1/μm) |
0.113244047 |
0.184394515 |
N |
D7 (μm) |
-0.099745631 |
0.242693723 |
N |
I6 (1/ μm) |
0.090640262 |
0.288613104 |
N |
S3 (μm) |
-0.086547813 |
0.311025894 |
N |
CI1 (μm) |
-0.059860287 |
0.483928914 |
N |
S2 |
-0.059860287 |
0.483928914 |
N |
F2 |
-0.036991396 |
0.66550023 |
N |
F3 |
-0.031803265 |
0.710143716 |
N |
I7 (1/μm) |
0.020959832 |
0.806527519 |
N |
TA6 |
-0.013199013 |
0.877439786 |
N |
Note: Variables without units are dimensionless. 1 μm= 0.039 mil 1 MPa = 145.03 psi 1 1/μm = 25.4 1/mil |
Table 55. Pre-screening of deflection variables for drop 3 roughness-based logistic model for rigid pavements.
Variable | Pearson R2 | Sig (2-tailed) | Selected Parameter for Further Analysis (Y/N) |
---|---|---|---|
D4 (μm) |
-0.231018767 |
0.003712941 |
Y |
D3 (μm) |
-0.229746336 |
0.003912289 |
Y |
D6 (μm) |
-0.22855743 |
0.004107194 |
Y |
D2 (μm) |
-0.227149579 |
0.004349247 |
Y |
D5 (μm) |
-0.226131044 |
0.004532267 |
Y |
CI4 (μm) |
-0.225944603 |
0.004566507 |
Y |
D7 (μm) |
-0.220699984 |
0.005629836 |
Y |
D1 (μm) |
-0.216701832 |
0.006583631 |
Y |
CI6 (μm) |
-0.206045677 |
0.00986392 |
Y |
S7 (μm) |
-0.182120356 |
0.022878806 |
Y |
I1 (1/μm ) |
0.175994414 |
0.027972346 |
Y |
CI5 (μm) |
-0.169157994 |
0.034769885 |
Y |
I3 (1/μm) |
0.16634895 |
0.037942875 |
Y |
I2 (1/μm) |
0.165665443 |
0.038750801 |
Y |
I4 (1/μm) |
0.161123224 |
0.044495586 |
Y |
RA4 |
0.1563815 |
0.051234896 |
N |
I5 (1/μm ) |
0.147310985 |
0.066484788 |
N |
S6 (μm) |
-0.139239409 |
0.082994782 |
N |
I6 (1/μm) |
0.135039829 |
0.092803725 |
N |
S5 (μm) |
-0.112764232 |
0.161043076 |
N |
CI3 (μm) |
-0.103730919 |
0.197516944 |
N |
I7 (1/μm ) |
0.099708982 |
0.215553836 |
N |
F2 |
0.099122913 |
0.218277178 |
N |
F3 |
0.098703882 |
0.220239284 |
N |
TA4 |
0.080175763 |
0.319763512 |
N |
CI2 (μm) |
-0.078646317 |
0.329111714 |
N |
RA7 |
-0.0674084 |
0.403092486 |
N |
S4 (μm) |
-0.064462533 |
0.424004346 |
N |
TA7 |
-0.063736586 |
0.429252484 |
N |
F5 |
-0.053849755 |
0.50435152 |
N |
TA5 |
0.05261841 |
0.514162317 |
N |
RA3 |
0.047573575 |
0.555358928 |
N |
RA1 |
-0.04750079 |
0.555964775 |
N |
F6 |
-0.041405776 |
0.607798199 |
N |
TA3 |
0.033801743 |
0.675283394 |
N |
TA6 |
0.028644655 |
0.722614238 |
N |
S3 (μm) |
-0.027271501 |
0.735405113 |
N |
F4 |
-0.020034283 |
0.803948281 |
N |
RA6 |
-0.019587441 |
0.808235667 |
N |
TA1 |
-0.017775778 |
0.825675524 |
N |
RA2 |
-0.015148917 |
0.851112643 |
N |
CI1 (μm) |
-0.00682074 |
0.932653462 |
N |
S2 (μm) |
-0.00682074 |
0.932653462 |
N |
TA2 |
0.006150142 |
0.939261428 |
N |
RA5 |
-0.005108871 |
0.949530006 |
N |
Note: Variables without units are dimensionless. |
Table 56. Pre-screening of deflection variables for drop 3 faulting at joints-based logistic model for rigid pavements.
Variable | Pearson R2 | Sig (2-tailed) | Selected Parameter for Further Analysis (Y/N) |
---|---|---|---|
RA4 |
0.188987017 |
0.023294968 |
Y |
I1 (1/μm ) |
0.161603177 |
0.052980999 |
Y |
I2 (1/μm ) |
0.152590048 |
0.067875984 |
Y |
I3 (1/μm ) |
0.152364798 |
0.068287933 |
Y |
I4 (1/μm ) |
0.146249842 |
0.080270274 |
Y |
D4 (μm) |
-0.1419625 |
0.089638018 |
Y |
D6 (μm) |
-0.141573149 |
0.090530178 |
Y |
D5 (μm) |
-0.140156854 |
0.093835239 |
Y |
D2 (μm) |
-0.1386745 |
0.097396262 |
Y |
D3 (μm) |
-0.138555983 |
0.097685525 |
Y |
D7 (μm) |
-0.135651185 |
0.104989848 |
Y |
I5 (1/μm) |
0.132374263 |
0.113737442 |
N |
TA4 |
0.130564787 |
0.11880547 |
N |
CI6 (μm) |
-0.130322639 |
0.119496771 |
N |
D1 (μm) |
-0.127358213 |
0.128214615 |
N |
CI4 (μm) |
-0.124884514 |
0.135856987 |
N |
TA5 |
0.123294493 |
0.140949989 |
N |
I6 (1/μm) |
0.116088695 |
0.165865195 |
N |
CI5 (μm) |
-0.106009787 |
0.206015806 |
N |
S7 (μm) |
-0.102867226 |
0.219857942 |
N |
F6 |
-0.100247392 |
0.231892343 |
N |
RA3 |
0.093745676 |
0.263734925 |
N |
TA3 |
0.085112094 |
0.310446542 |
N |
CI2 (μm) |
-0.08460367 |
0.313356211 |
N |
I7 (1/μm) |
0.080597394 |
0.336902843 |
N |
F5 |
-0.080316235 |
0.338596553 |
N |
F2 |
0.073339491 |
0.382346557 |
N |
S6 (μm) |
-0.067625477 |
0.420614497 |
N |
RA7 |
-0.065458196 |
0.435691782 |
N |
TA2 |
0.062337517 |
0.457934103 |
N |
TA7 |
-0.059877081 |
0.475905951 |
N |
RA2 |
0.045153639 |
0.59099446 |
N |
S5 (μm) |
-0.042101505 |
0.616344996 |
N |
RA6 |
-0.039774591 |
0.635983013 |
N |
CI3 (μm) |
-0.03486104 |
0.67827905 |
N |
TA1 |
0.033612957 |
0.689191042 |
N |
TA6 |
0.032097654 |
0.702525638 |
N |
F3 |
0.03187355 |
0.704505571 |
N |
CI1 (μm) |
0.031789962 |
0.705244568 |
N |
S2 (μm) |
0.031789962 |
0.705244568 |
N |
F4 |
-0.017149361 |
0.838342746 |
N |
RA5 |
0.012474146 |
0.882034272 |
N |
S4 (μm) |
-0.009344165 |
0.911493318 |
N |
S3 (μm) |
0.006621708 |
0.937216504 |
N |
RA1 |
0.001026985 |
0.990252956 |
N |
Note: Variables without units are dimensionless. |
Table 57. Pre-screening of deflection variables for drop 3 transverse cracking-based logistic model for rigid pavements.
Variable |
Pearson R2 |
Sig (2-tailed) |
Selected Parameter |
---|---|---|---|
TA7 |
-0.318133195 |
0.000127903 |
Y |
CI4 (μm) |
-0.316043599 |
0.000142422 |
Y |
RA7 |
-0.309706065 |
0.000196388 |
Y |
CI6 (μm) |
-0.282610246 |
0.0007166 |
Y |
TA4 |
0.277229365 |
0.00091297 |
Y |
S7 |
-0.274594487 |
0.001026122 |
Y |
F6 |
-0.254023959 |
0.002457351 |
Y |
CI5 (μm) |
-0.230262146 |
0.006201163 |
Y |
S6 |
-0.228549955 |
0.006606782 |
Y |
TA5 |
0.225359967 |
0.00742585 |
Y |
TA3 |
0.218493416 |
0.009500867 |
Y |
F5 |
-0.217427811 |
0.009865044 |
Y |
RA4 |
0.216846506 |
0.010068849 |
Y |
D3 (μm) |
-0.214288228 |
0.011010506 |
Y |
D2 (μm) |
-0.213766402 |
0.011211815 |
Y |
D1 (μm) |
-0.213709696 |
0.011233885 |
Y |
S5 |
-0.210347696 |
0.012612458 |
Y |
D4 (μm) |
-0.205333449 |
0.01494342 |
Y |
RA3 |
0.205106163 |
0.015057437 |
Y |
CI3 (μm) |
-0.193490726 |
0.021987806 |
Y |
TA2 |
0.190745922 |
0.0239787 |
Y |
D5 (μm) |
-0.189155654 |
0.025201446 |
Y |
TA1 |
0.181253285 |
0.032099053 |
Y |
RA6 |
-0.172706742 |
0.041297304 |
Y |
D6 (μm) |
-0.172617805 |
0.041403564 |
Y |
F4 |
-0.163447125 |
0.053657567 |
N |
I1 (1/μm) |
0.162734621 |
0.054723516 |
N |
S4 |
-0.160655304 |
0.05793456 |
N |
RA2 |
0.146856149 |
0.083372035 |
N |
I2 (1/μm ) |
0.143377562 |
0.091027987 |
N |
I3 (1/ μm ) |
0.141640515 |
0.095055002 |
N |
RA1 |
0.13994456 |
0.09912168 |
N |
I4 (1/ μm ) |
0.13119929 |
0.122312382 |
N |
CI2 (μm) |
-0.124717703 |
0.142053064 |
N |
RA5 |
-0.118078917 |
0.164690301 |
N |
I5 (1/μm ) |
0.108597401 |
0.201530737 |
N |
S3 |
-0.105511781 |
0.21471442 |
N |
D7 (μm) |
-0.086202733 |
0.311200346 |
N |
I6 (1/ μm) |
0.084554097 |
0.320579338 |
N |
CI1 (μm) |
-0.081171507 |
0.340388524 |
N |
S2 |
-0.081171507 |
0.340388524 |
N |
F2 |
-0.043488715 |
0.60991585 |
N |
TA6 |
-0.021620604 |
0.799839718 |
N |
F3 |
-0.02112466 |
0.804337849 |
N |
I7 (1/μm) |
0.014311662 |
0.866718386 |
N |
Note: Variables without units are dimensionless. |
Models Based on Roughness Performance
Table 58. Statistics of calibrated models based on roughness performance of flexible pavements - all models.
Deflection Parameter |
Primary Model Evaluation |
Final Model |
|||||
---|---|---|---|---|---|---|---|
I2 |
CI4 |
CI5 |
D2 |
D3 |
Hogg |
I2 |
|
Area ROC |
0.733 |
0.720 |
0.731 |
0.720 |
0.727 |
0.694 |
0.716 |
Hosmer-Lemeshow significance test |
0.397 |
0.137 |
0.339 |
0.351 |
0.592 |
0.198 |
0.995 |
Calibration - |
68.4 |
62.8 |
67.9 |
64.6 |
67.3 |
63.9 |
64.1 |
Validation - |
74.2 |
61.3 |
69.4 |
66.1 |
71.0 |
74.2 |
69.4 |
Error type I |
6.6 |
4.7 |
5.7 |
5.9 |
6.5 |
7.0 |
6.6 |
Error type II |
25.0 |
32.5 |
26.4 |
29.4 |
26.2 |
29.1 |
29.3 |
TPR (acceptable) (percent) |
69.3 |
60.0 |
67.5 |
63.8 |
67.8 |
64.2 |
64.0 |
TNR (not acceptable) (percent) |
64.4 |
75.0 |
69.2 |
68.3 |
65.4 |
62.5 |
64.4 |
Models Based on Rutting Performance
Table 59. Statistics of calibrated models based on rutting performance of flexible pavements - all models.
Deflection Parameter |
Primary Model Evaluation |
Final Model |
|||||||
---|---|---|---|---|---|---|---|---|---|
CI3 | CI2 |
S7 |
D1 |
RA6 |
Hogg |
CI3 |
Hogg |
D1 |
|
Area ROC |
0.669 |
0.658 |
0.678 |
0.710 |
0.624 |
0.646 |
0.659 |
0.640 |
0.647 |
Hosmer-Lemeshow significance test |
0.066 |
0.494 |
0.398 |
0.414 |
0.818 |
0.115 |
0.267 |
0.501 |
0.137 |
Calibration - correct cases (percent) |
68.8 |
67.1 |
64.6 |
70.1 |
60.0 |
60.7 |
66.5 |
62.0 |
61.8 |
Validation - correct cases (percent) |
69.4 |
67.7 |
64.5 |
66.1 |
59.7 |
61.3 |
66.1 |
61.3 |
46.8 |
Error type I (false acceptable)(percent) |
9.2 |
8.8 |
8.1 |
9.2 |
8.1 |
8.6 |
8.6 |
8.8 |
6.2 |
Error type II (false not acceptable) (percent) |
22.0 |
24.1 |
27.3 |
20.8 |
31.9 |
30.6 |
24.8 |
29.2 |
32.0 |
TPR (acceptable) (percent) |
72.0 |
69.4 |
65.3 |
73.6 |
59.5 |
61.1 |
68.5 |
62.9 |
59.3 |
TNR (not acceptable) (percent) |
57.0 |
58.7 |
62.0 |
57.0 |
62.0 |
59.5 |
59.5 |
58.7 |
71.1 |
Table 60. Variables in the CI3 final model (based on rutting).
Variables (bi) | ai | p-value |
---|---|---|
CI3 |
-0.01146 |
0.00001594 |
Precipitation (mm) |
-0.0005259 |
0.04018 |
Class 9 volume |
-0.0007688 |
0.00005421 |
Constant |
2.6586 |
1.0136*10^(-13) |
Cutoff |
0.792 |
|
1 inch=25.4 mm |
Table 61. Variables in the Hogg final model (based on rutting).
Variables (bi) | ai | p-value |
---|---|---|
Hogg |
0.008182 |
0.0008198 |
Class 9 volume |
-0.000633 |
0.001079 |
Total pavement thickness (inches) |
-0.02071 |
0.05083 |
Total HMA thickness (inches) |
0.08315 |
0.01762 |
Constant |
0.552 |
0.1433 |
Cutoff |
0.777 |
Table 62. Variables in the D1 final model (based on rutting).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.002361 |
0.00011 |
Class 9 volume |
-0.0006459 |
0.00034 |
Constant |
2.2818 |
4.2966*10^(-21) |
Cutoff |
0.812 |
Models Based on Fatigue Cracking Performance
Table 63. Statistics of calibrated models based on fatigue cracking performance of flexible pavements.
Deflection Parameter | Primary Model Evaluation | Final Model | ||||||
---|---|---|---|---|---|---|---|---|
I1 |
D1 | D4 | CI6 | I2 | Hogg | I1 | Hogg | |
Area ROC |
0.657 |
0.638 |
0.625 |
0.613 |
0.650 |
0.620 |
0.642 |
0.624 |
Hosmer-Lemeshow significance test |
0.368 |
0.535 |
0.533 |
0.238 |
0.864 |
0.284 |
0.596 |
0.213 |
Calibration - correct cases (percent) |
63.0 |
59.0 |
60.7 |
59.0 |
62.5 |
60.7 |
59.7 |
60.4 |
Validation - correct cases (percent) |
65.0 |
60.0 |
60.0 |
55.0 |
60.0 |
52.5 |
70.0 |
55.0 |
Error type I (false acceptable) (percent) |
15.5 |
12.6 |
16.9 |
15.5 |
16.4 |
13.8 |
12.9 |
16.9 |
Error type II (false not acceptable) (percent) |
21.5 |
28.3 |
22.5 |
25.5 |
21.1 |
25.5 |
27.4 |
22.7 |
TPR (acceptable) (percent) |
63.1 |
51.4 |
61.4 |
56.2 |
63.9 |
56.2 |
53.0 |
61.0 |
TNR (not acceptable) (percent) |
62.9 |
69.7 |
59.6 |
62.9 |
60.7 |
66.9 |
69.1 |
59.6 |
Table 64. Variables in the I1 final model (based on fatigue cracking).
Variables (bi) |
ai |
p-value |
I1 |
154.764 |
0.0006015 |
AADTT |
-0.0005073 |
0.0007847 |
Pavement type |
0.3774 |
0.07598 |
Constant |
-0.2202 |
0.4422 |
Cutoff |
0.605 |
Table 65. Variables in the Hogg final model (based on fatigue cracking).
Variables (bi) |
ai |
p-value |
Hogg |
0.005262 |
0.006867 |
AADTT |
-0.0004274 |
0.002824 |
Constant |
0.03849 |
0.8837 |
Cutoff |
0.581 |
The Hogg parameter is defined in table 3.
Models Based on Roughness Performance (9,000 lb (4,086 kg))
Table 66. Statistics of calibrated models based on roughness performance of rigid pavements (9,000 lb (4,086 kg)).
Deflection Parameter | Primary Model Evaluation | Final Model | |||||||
---|---|---|---|---|---|---|---|---|---|
CI5 |
I1 | D5 | S7 | D1 | Hogg | CI5 |
I1 | LTEA | |
Area ROC |
0.699 |
0.730 |
0.692 |
0.647 |
0.625 |
0.651 |
0.645 |
0.620 |
|
Hosmer-Lemeshow significance test |
0.297 |
0.181 |
0.043 |
0.024 |
0.024 |
0.017 |
0.557 |
0.007 |
0.293 |
Calibration - correct cases (percent) |
71.0 |
73.8 |
69.0 |
65.5 |
65.5 |
65.7 |
65.5 |
65.5 |
60.1 |
Validation - correct cases (percent) |
42.9 |
42.9 |
42.9 |
42.9 |
42.9 |
42.9 |
28.6 |
42.9 |
50.0 |
Error type I (false acceptable) (percent) |
10.3 |
9.0 |
11.0 |
10.3 |
10.3 |
14.3 |
14.5 |
15.2 |
13.3 |
Error type II (false not acceptable) (percent) |
18.6 |
17.2 |
20.0 |
24.1 |
24.1 |
20.0 |
20.0 |
19.3 |
26.6 |
TPR (acceptable) (percent) |
71.9 |
74.0 |
69.8 |
63.5 |
63.5 |
69.6 |
69.8 |
70.8 |
60.0 |
TNR (not acceptable) (percent) |
69.4 |
73.5 |
67.3 |
69.4 |
69.4 |
58.3 |
57.1 |
55.1 |
60.4 |
Note: The deflection parameter is based on a survey at the middle of the slab and LTE calculated at the joint approach. |
Table 67. Variables in the CI5 final model (based on roughness) (9,000 lb (4,086 kg)).
Variables (bi) |
ai |
p-value |
CI5 |
-0.078 |
0.00406 |
Class 9 volume |
-0.0003877 |
0.115 |
Constant |
2.057 |
0.00002168 |
Cutoff |
0.665 |
Table 68. Variables in the I1 final model (based on roughness) (9,000 lb (4,086 kg)).
Variables (bi) |
ai |
p-value |
I1 |
131.600 |
0.003928 |
Class 9 volume |
-0.0005649 |
0.03668 |
Constant |
-0.465 |
0.375 |
Cutoff |
0.639 |
Table 69. Variables in the LTEA final model (based on roughness) (9,000 lb (4,086 kg)).
Variables (bi) |
ai |
p-value |
LTEA |
1.804 |
0.01261 |
Constant |
-0.429 |
0.363 |
Cutoff: |
0.69 |
Figure 66. Equation. Calculation of LTEA.
Table 70. Statistics of calibrated models based on roughness performance of rigid pavements for alternative FWD test locations (9,000 lb (4,086 kg)).
Deflection Parameter | Final Model | |
---|---|---|
D1 | D1 | |
FWD test location |
Edge corner slab |
Edge midslab |
Area ROC |
0.641 |
0.716 |
Hosmer-Lemeshow significance test |
0.446 |
0.411 |
Calibration - correct cases (percent) |
67.6 |
75.177 |
Validation - correct cases (percent) |
42.9 |
57.143 |
Error type I (false acceptable) (percent) |
15.9 |
12.766 |
Error type II (false not acceptable) (percent) |
16.6 |
12.057 |
TPR (acceptable) (percent) |
74.7 |
82.474 |
TNR (not acceptable) (percent) |
54.0 |
59.091 |
Table 71. Variables in the D1 final model for FWD testing at edge corner slab (based on roughness) (9,000 lb (4,086 kg)).
Variables (bi) |
ai |
p-value |
D1 |
-0.010125 |
0.01368 |
Class 9 volume |
-0.0004173 |
0.08322 |
Constant |
1.983 |
0.0001133 |
Cutoff |
0.652 |
Table 72. Variables in the D1 final model for FWD testing at edge midslab (based on roughness) (9,000 lb (4,086 kg)).
Variables (bi) |
ai |
p-value |
D1 |
-0.01349 |
0.00003341 |
Class 9 volume |
-0.0007071 |
0.01186 |
Constant |
3.551 |
0.0000001944 |
Cutoff |
0.675 |
Models Based on Faulting at Joints Performance (9,000 lb (4,086 kg))
Table 73. Statistics of calibrated models based on faulting at joints of rigid pavements (9,000 lb (4,086 kg)).
Deflection Parameter |
Primary Model Evaluation |
Final Model |
|||||
D6 |
I2 |
I1 |
D7 |
Hogg |
D6 |
LTEA |
|
Area ROC |
0.624 |
0.639 |
0.638 |
0.603 |
0.586 |
0.637 |
0.590 |
Hosmer-Lemeshow significance test |
0.173 |
0.009 |
0.025 |
0.027 |
0.078 |
0.064 |
0.592 |
Calibration - correct cases (percent) |
60.8 |
67.7 |
65.4 |
42.3 |
54.3 |
63.8 |
57.3 |
Validation - correct cases (percent) |
80.0 |
100.0 |
100.0 |
40.0 |
50.0 |
100.0 |
50.0 |
Error Type I (False Acceptable) (percent) |
10.8 |
16.2 |
15.4 |
0.8 |
11.0 |
16.2 |
9.9 |
Error Type II (false not acceptable) (percent) |
28.5 |
16.2 |
19.2 |
56.9 |
34.6 |
20.0 |
32.8 |
TPR (acceptable) (percent) |
56.0 |
75.0 |
70.2 |
11.9 |
46.3 |
69.0 |
50.0 |
TNR (not acceptable) (percent) |
69.6 |
54.3 |
56.5 |
97.8 |
68.9 |
54.3 |
71.1 |
Note: The deflection parameter is based on a survey at the middle of the slab and LTE calculated at the joint approach. |
Table 74. Variables in the D6 final model (based on faulting at joints) (9,000 lb (4,086 kg)).
Variables (bi) |
ai |
p-value |
D6 |
-0.009225 |
0.138 |
Subgrade type |
-0.495 |
0.2003 |
Constant |
1.499 |
0.005818 |
Cutoff |
0.635 |
Table 75. Variables in the LTEA final model (based on faulting at joints) (9,000 lb (4,086 kg)).
Variables (bi) |
ai |
p-value |
LTEA |
0.796 |
0.2804 |
Subgrade type |
-0.5104 |
0.194 |
Constant |
0.454 |
0.4401 |
Cutoff |
0.659 |
Table 76. Statistics of calibrated models based on faulting at joints of rigid pavements (9,000 lb (4,086 kg)).
Deflection Parameter |
Final Model |
|
D1 |
D1 |
|
FWD test location |
Edge corner slab |
Edge midslab |
Area ROC |
0.694 |
0.695 |
Hosmer-Lemeshow significance test |
0.047 |
0.576 |
Calibration - correct cases (percent) |
64.9 |
62.6 |
Validation - correct cases (percent) |
40.0 |
66.7 |
Error type I (false acceptable) (percent) |
10.7 |
10.7 |
Error Type II (false not acceptable) (percent) |
24.4 |
26.7 |
TPR (acceptable) (percent) |
63.6 |
59.3 |
TNR (not acceptable) (percent) |
67.4 |
68.9 |
Table 77. Variables in the D1 final model for FWD testing at edge corner slab (based on faulting at joints) (9,000 lb (4,086 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.003976 |
0.002237 |
Subgrade type |
-0.923 |
0.03008 |
Constant |
2.315 |
0.000003115 |
Cutoff |
0.687 |
Table 78. Variables in the D1 final model for FWD testing at edge midslab (based on faulting at joints) (9,000 lb (4,086 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.00861 |
0.001208 |
Subgrade type |
-0.836 |
0.04503 |
Constant |
2.583 |
0.00001405 |
Cutoff |
0.695 |
Table 79. Statistics of calibrated models based on transverse cracking of rigid pavements (9,000 lb (4,086 kg)).
Deflection Parameter | Primary Model Evaluation | Final Model | |||||
---|---|---|---|---|---|---|---|
CI4 | D1 | Hogg | RA7 | CI4 | D1 | LTEA | |
Area ROC |
0.766 |
0.741 |
0.703 |
0.747 |
0.766 |
0.726 |
0.706 |
Hosmer-Lemeshow significance test |
0.363 |
0.424 |
0.145 |
0.136 |
0.363 |
0.071 |
0.948 |
Calibration - correct cases (percent) |
77.5 |
72.9 |
76.0 |
78.3 |
77.5 |
72.9 |
70.1 |
Validation - correct cases (percent) |
100.0 |
83.3 |
80.0 |
83.3 |
100.0 |
83.3 |
40.0 |
Error Type I (false acceptable) (percent) |
10.1 |
8.5 |
11.2 |
11.6 |
10.1 |
10.1 |
8.7 |
Error Type II (false not acceptable) (percent) |
12.4 |
18.6 |
12.8 |
10.1 |
12.4 |
17.1 |
21.3 |
TPR (acceptable) (percent) |
82.8 |
74.2 |
82.6 |
86.0 |
82.8 |
76.3 |
71.9 |
TNR (not acceptable) (percent) |
63.9 |
69.4 |
57.6 |
58.3 |
63.9 |
63.9 |
64.5 |
Note: The deflection parameter is based on a survey at the middle of the slab and LTE calculated at the joint approach. |
Table 80. Variables in the CI4 final model (based on transverse cracking) (9,000 lb (4,086 kg)).
Variables (bi) | ai | p-value |
---|---|---|
CI4 |
-0.254 |
0.0003759 |
Class 9 volume |
-0.001012 |
0.001084 |
Constant |
3.630 |
0.0000003134 |
Cutoff |
0.7 |
Table 81. Variables in the D1 final model (based on transverse cracking) (9,000 lb (4,086 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.006694 |
0.168 |
Class 9 volume |
-0.001017 |
0.001709 |
Total pavement thickness |
0.225 |
0.0786 |
Constant |
0.209 |
0.886 |
Cutoff |
0.728 |
Table 82. Variables in the LTEA final model (based on transverse cracking) (9,000 lb (4,086 kg)).
Variables (bi) | ai | p-value |
---|---|---|
LTEA |
3.27 |
0.0001506 |
Constant |
-0.766 |
.0135 |
Cutoff |
0.766 |
Table 83. Statistics of calibrated models based on transverse cracking of rigid pavements (9,000 lb (4,086 kg)).
Deflection Parameter | Final Model | |
---|---|---|
D1 | D1 | |
FWD test location |
Edge corner slab |
Edge midslab |
Area ROC |
0.774 |
0.703 |
Hosmer-Lemeshow significance test |
0.353 |
0.168 |
Calibration - correct cases (percent) |
79.2 |
72.2 |
Validation - correct cases (percent) |
100.0 |
83.3 |
Error type I (false acceptable) (percent) |
9.6 |
11.1 |
Error type II (false not acceptable) (percent) |
11.2 |
16.7 |
TPR (acceptable) (percent) |
84.8 |
77.2 |
TNR (not acceptable) (percent) |
63.6 |
58.8 |
Table 84. Variables in the D1 final model for FWD testing at edge corner slab (based on transverse cracking) (9,000 lb (4,086 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.006451 |
0.0001714 |
Class 9 volume |
-0.0007631 |
0.006384 |
Constant |
3.328 |
0.0000000470 |
Cutoff |
0.708 |
Table 85. Variables in the D1 final model for FWD testing at edge midslab (based on transverse cracking) (9,000 lb (4,086 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.01000 |
0.0005496 |
Class 9 volume |
-0.0008483 |
0.004314 |
Constant |
3.347 |
0.0000005382 |
Cutoff |
0.713 |
Models Based on Roughness Performance (12,000 lb (5,448 kg))
Table 86. Statistics of calibrated models based on roughness of rigid pavements (12,000 lb (5,448 kg)).
Deflection Parameter | Primary Model Evaluation | Final Model | |||||
---|---|---|---|---|---|---|---|
CI4 | D6 | CI6 | I1 | CI4 | I1 | LTEA | |
Area ROC |
0.663 |
0.630 |
0.621 |
0.638 |
0.663 |
0.638 |
0.620 |
Hosmer-Lemeshow significance test |
0.049 |
0.626 |
0.659 |
0.214 |
0.049 |
0.214 |
0.177 |
Calibration - correct cases (percent) |
64.1 |
62.1 |
61.4 |
69.0 |
64.1 |
69.0 |
60.8 |
Validation - correct cases (percent) |
57.1 |
57.1 |
71.4 |
71.4 |
57.1 |
71.4 |
66.7 |
Error Type I (false acceptable) (percent) |
9.7 |
13.1 |
16.6 |
17.2 |
9.7 |
17.2 |
13.3 |
Error Type II (false not acceptable) (percent) |
26.2 |
24.8 |
22.1 |
13.8 |
26.2 |
13.8 |
25.9 |
TPR (acceptable) (percent) |
60.8 |
62.9 |
67.0 |
79.4 |
60.8 |
79.4 |
61.9 |
TNR (not acceptable) (percent) |
70.8 |
60.4 |
50.0 |
47.9 |
70.8 |
47.9 |
58.7 |
Note: The deflection parameter is based on a survey at the middle of the slab and LTE calculated at the joint approach. |
Table 87. Variables in the CI4 final model (based on roughness) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
CI4 |
-0.117 |
0.007378 |
Class 9 volume |
-0.0004607 |
0.06459 |
Constant |
2.148 |
0.0000447 |
Cutoff |
0.695 |
Table 88. Variables in the I1 final model (based on roughness) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
I1 |
160.521 |
0.008563 |
Class 9 volume |
-0.0005612 |
0.03519 |
Constant |
-0.293 |
0.576 |
Cutoff |
0.62 |
Table 89. Variables in the LTEA final model (based on roughness) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
LTEA |
1.903 |
0.01053 |
Constant |
-0.434 |
0.371 |
Cutoff |
0.697 |
Table 90. Statistics of calibrated models based on roughness of rigid pavements (12,000 lb (5,448 kg)).
Deflection Parameter | Final Model | |
---|---|---|
D1 |
D1 |
|
FWD test location |
Edge corner slab |
Edge midslab |
Area ROC |
0.654 |
0.710 |
Hosmer-Lemeshow significance test |
0.479 |
0.573 |
Calibration - correct cases (percent) |
60.7 |
70.9 |
Validation - correct cases (percent) |
57.1 |
71.4 |
Error Type I (false acceptable) (percent) |
12.9 |
13.5 |
Error Type II (false not acceptable) (percent) |
26.4 |
15.6 |
TPR (acceptable) (percent) |
61.1 |
76.8 |
TNR (not acceptable) (percent) |
60.0 |
58.7 |
Table 91. Variables in the D1 final model for FWD testing at edge corner slab (based on roughness) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.003005 |
0.003249 |
Class 9 volume |
-0.0003201 |
0.185 |
Constant |
1.961 |
0.000007846 |
Cutoff |
0.707 |
Table 92. Variables in the D1 final model for FWD testing at edge midslab (based on roughness) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.009806 |
0.00004818 |
Class 9 volume |
-0.0007354 |
0.009784 |
Constant |
3.422 |
0.0000004192 |
Cutoff |
0.664 |
Table 93. Statistics of calibrated models based on faulting at joints of rigid pavements (12,000 lb (5,448 kg)).
Deflection Parameter | Primary Model Evaluation | Final Model | |||
---|---|---|---|---|---|
D6 |
I1 |
Hogg |
D6 |
LTEA |
|
Area ROC |
0.644 |
0.643 |
0.592 |
0.634 |
0.608 |
Hosmer-Lemeshow significance test |
0.131 |
0.640 |
0.596 |
0.222 |
0.745 |
Calibration - correct cases (percent) |
64.9 |
61.9 |
56.6 |
61.9 |
58.8 |
Validation - correct cases (percent) |
50.0 |
66.7 |
33.3 |
50.0 |
50.0 |
Error type I (false acceptable) (percent) |
17.2 |
9.7 |
14.0 |
12.7 |
13.0 |
Error type II (false not acceptable) (percent) |
17.9 |
28.4 |
29.5 |
25.4 |
28.2 |
TPR (acceptable) (percent) |
72.4 |
56.3 |
53.7 |
60.9 |
57.5 |
TNR (not acceptable) (percent) |
51.1 |
72.3 |
61.7 |
63.8 |
61.4 |
Note: Deflection parameter based on survey at the middle of the slab and LTE calculated at joint approach. |
Table 94. Variables in the D6 final model (based on faulting at joints) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D6 |
-0.008789 |
0.06896 |
Subgrade type |
-0.579 |
0.139 |
Constant |
1.734 |
0.002499 |
Cutoff |
0.651 |
Table 95. Variables in the LTEA final model (based on faulting at joints) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
LTEA |
1.106 |
0.144 |
Subgrade type |
-0.335 |
0.3899 |
Constant |
0.172 |
0.773 |
Cutoff |
0.677 |
Table 96. Statistics of calibrated models based on faulting at joints of rigid pavements (12,000 lb (5,448 kg)).
Deflection Parameter |
Final Model |
|
---|---|---|
D1 |
D1 |
|
FWD test location |
Edge corner slab |
Edge midslab |
Area ROC |
0.702 |
0.695 |
Hosmer-Lemeshow significance test |
0.103 |
0.572 |
Calibration - correct cases (percent) |
64.9 |
61.832 |
Validation - correct cases (percent) |
60.0 |
83.333 |
Error type I (false acceptable) (percent) |
9.2 |
10.687 |
Error type II (false not acceptable) (percent) |
26.0 |
27.481 |
TPR (acceptable) (percent) |
60.9 |
58.621 |
TNR (not acceptable) (percent) |
72.7 |
68.182 |
Table 97. Variables in the D1 final model for FWD testing at edge corner slab (based on faulting at joints) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.003291 |
0.002071 |
Subgrade type |
-0.825 |
0.04834 |
Constant |
2.286 |
0.000006551 |
Cutoff |
0.691 |
Table 98. Variables in the D1 final model for FWD testing at edge midslab (based on faulting at joints) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.007078 |
0.001048 |
Subgrade type |
-0.883 |
0.03558 |
Constant |
2.764 |
0.000009804 |
Cutoff |
0.7 |
Table 99. Statistics of calibrated models based on transverse cracking of rigid pavements (12,000 lb (5,448 kg)).
Deflection Parameter | Primary Model Evaluation | Final Model | |||||
---|---|---|---|---|---|---|---|
CI4 |
D1 | Hogg | TA7 | CI4 | D1 | LTEA | |
Area ROC |
0.778 |
0.749 |
0.709 |
0.739 |
0.775 |
0.735 |
0.683 |
Hosmer-Lemeshow significance test |
0.353 |
0.396 |
0.008 |
0.107 |
0.200 |
0.139 |
0.493 |
Calibration - correct cases (percent) |
74.4 |
73.6 |
69.4 |
77.5 |
74.4 |
72.1 |
66.1 |
Validation - correct cases (percent) |
66.7 |
50.0 |
50.0 |
66.7 |
83.3 |
50.0 |
80.0 |
Error Type I (false acceptable) (percent) |
7.8 |
8.5 |
9.7 |
11.6 |
9.3 |
9.3 |
11.8 |
Error Type II (false not acceptable) (percent) |
17.8 |
17.8 |
21.0 |
10.9 |
16.3 |
18.6 |
22.0 |
TPR (acceptable) (percent) |
75.0 |
75.0 |
71.1 |
84.8 |
77.2 |
73.9 |
69.9 |
TNR (not acceptable) (percent) |
73.0 |
70.3 |
64.7 |
59.5 |
67.6 |
67.6 |
55.9 |
Note: Deflection parameter based on survey at the middle of the slab and LTE calculated at joint approach. |
Table 100. Variables in the CI4 final model (based on transverse cracking) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
CI4 |
-0.231 |
0.00007858 |
Class 9 volume |
-0.001029 |
0.001282 |
Constant |
3.9796 |
0.0000001201 |
Cutoff |
0.71 |
Table 101. Variables in the D1 final model (based on transverse cracking) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.008441 |
0.07225 |
Class 9 volume |
-0.001027 |
0.001734 |
Total pavement thickness |
0.1948 |
0.1398 |
Constant |
0.943 |
0.5641 |
Cutoff |
0.73 |
Table 102. Variables in the LTEA final model (based on transverse cracking) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
LTEA |
2.679 |
0.001196 |
Constant |
-0.5943 |
0.2463 |
Cutoff |
0.736 |
Table 103. Statistics of calibrated models based on transverse cracking of rigid pavements (12,000 lb (5,448 kg)).
Deflection Parameter | Final Model | |
---|---|---|
D1 | D1 | |
FWD test location |
Edge corner slab |
Edge midslab |
Area ROC |
0.768 |
0.694 |
Hosmer-Lemeshow significance test |
0.403 |
0.131 |
Calibration - correct cases (percent) |
77.6 |
67.460 |
Validation - correct cases (percent) |
100.0 |
66.667 |
Error Type I (false acceptable) (percent) |
8.8 |
7.937 |
Error Type II (false not acceptable) (percent) |
13.6 |
24.603 |
TPR (acceptable) (percent) |
81.7 |
66.304 |
TNR (not acceptable) (percent) |
65.6 |
70.588 |
Table 104. Variables in the D1 final model for FWD testing at edge corner slab (based on transverse cracking) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.005252 |
0.0002574 |
Class 9 volume |
-0.0007991 |
0.005173 |
Constant |
3.409 |
0.00000009316 |
Cutoff |
0.725 |
Table 105. Variables in the D1 final model for FWD testing at edge midslab (based on transverse cracking) (12,000 lb (5,448 kg)).
Variables (bi) | ai | p-value |
---|---|---|
D1 |
-0.006136 |
0.01611 |
Class 9 volume |
-0.02948 |
0.0187 |
Total PCC thickness |
0.1211 |
0.3503 |
Constant |
2.662 |
0.1164 |
Cutoff |
0.718 |