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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
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Publication Number:  FHWA-HRT-12-023    Date:  December 2012
Publication Number: FHWA-HRT-12-023
Date: December 2012

 

Simplified Techniques for Evaluation and Interpretation of Pavement Deflections for Network-Level Analysis

APPENDIX B

PRE-SCREENING OF DEFLECTION PARAMETERS FOR FLEXIBLE PAVEMENTS

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.
1 μm = 0.039 mil
1 MPa = 145.03 psi
1 1/μm = 25.4 1/mil

 

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.
1 μm = 0.039 mil
1 MPa = 145.03 psi
1 1/μm = 25.4 1/mil

PRE-SCREENING OF DEFLECTION PARAMETERS FOR RIGID PAVEMENTS

Table 52. Pre-screening of deflection variables for drop 2 roughness-based logistic model for rigid pavements.

Variable

Pearson R2

Sig (2-tailed)

Selected
Parameter for
Further Analysis (Y/N)

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.
1 μm = 0.039 mil
1 MPa = 145.03 psi
1 1/μm = 25.4 1/mil

 

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.
1μm = 0.039 mil
1 MPa = 145.03 psi
1 1/μm = 25.4 1/mil

 

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.
1μm = 0.039 mil
1 MPa = 145.03 psi
1 1/μm = 25.4 1/mil

 

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.
1μm = 0.039 mil
1 MPa = 145.03 psi
1 1/μm = 25.4 1/mil

 

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
for Further
Analysis(Y/N)

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.
1μm = 0.039 mil
1 MPa = 145.03 psi
1 1/μm = 25.4 1/mil

 

FLEXIBLE PAVEMENT STRUCTURAL ANALYSIS

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 -
correct cases (percent)

68.4

62.8

67.9

64.6

67.3

63.9

64.1

Validation -
correct cases (percent)

74.2

61.3

69.4

66.1

71.0

74.2

69.4

Error type I
(false acceptable) (percent)

6.6

4.7

5.7

5.9

6.5

7.0

6.6

Error type II
(false not acceptable) (percent)

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.

 

RIGID PAVEMENT STRUCTURAL ANALYSIS FOR 9,000 LB (4,086 KG) FWD LOAD

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

 

LTEA equals D subscript 3 divided by D subscript 1.
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

Models Based on Transverse Cracking Performance (9,000 lb (4,086 kg))

 

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

 

RIGID PAVEMENT STRUCTURAL ANALYSIS FOR 12,000-LB (5,448-KG) FWD LOAD

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

 

Models Based on Faulting at Joints Performance (12,000 lb (5,448 kg))

 

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

 

Models Based on Transverse Cracking Performance (12,000 lb (5,448 kg))

 

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

 

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