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Table 6 Case 1: Medicare-Tukey’s HSD test

From: Severely imbalanced Big Data challenges: investigating data sampling approaches

Learner

Sampling

AUC

std

r

g

Min

Max

Q25

Q50

Q75

(a) AUC

 GBT

RUS

0.79833

0.02599

250

a

0.72815

0.87018

0.78092

0.80045

0.81537

None

0.79047

0.02386

50

a

0.72580

0.83013

0.78059

0.79586

0.80595

ROS

0.73363

0.06754

250

b

0.51519

0.84819

0.70903

0.74192

0.77947

SMOTE

0.73031

0.02584

250

b

0.64410

0.81724

0.71385

0.72880

0.74982

ADASYN

0.69918

0.02609

250

c

0.61985

0.76370

0.68276

0.69946

0.71667

SMOTEb2

0.67189

0.03213

250

d

0.57265

0.74786

0.65170

0.67248

0.69508

SMOTEb1

0.66769

0.03720

250

d

0.48250

0.76948

0.64574

0.66988

0.69252

 LR

SMOTE

0.82279

0.02125

250

a

0.75783

0.87290

0.81044

0.82237

0.83636

None

0.81554

0.02227

50

ab

0.75532

0.84700

0.80752

0.81924

0.82659

ADASYN

0.81509

0.02287

250

ab

0.74781

0.88334

0.80130

0.81666

0.83065

RUS

0.81169

0.02040

250

b

0.73199

0.86455

0.80016

0.81220

0.82536

ROS

0.74079

0.06836

250

c

0.55630

0.85671

0.69202

0.75347

0.79658

SMOTEb1

0.73868

0.02748

250

c

0.66533

0.81191

0.71970

0.73888

0.75844

SMOTEb2

0.72293

0.03287

250

d

0.61406

0.80044

0.70363

0.72765

0.74389

 RF

RUS

0.81195

0.02373

250

a

0.74285

0.86547

0.79696

0.81221

0.82930

None

0.79383

0.02306

50

b

0.74416

0.83161

0.77569

0.79317

0.81477

SMOTE

0.77240

0.02304

250

c

0.70450

0.84333

0.75649

0.77252

0.78692

ROS

0.77042

0.02790

250

c

0.70014

0.85378

0.75188

0.77028

0.78984

SMOTEb1

0.75732

0.02536

250

d

0.66211

0.81080

0.74231

0.76021

0.77356

SMOTEb2

0.75383

0.02794

250

d

0.68869

0.82191

0.73425

0.75200

0.77434

ADASYN

0.73559

0.02654

250

e

0.66474

0.80357

0.71806

0.73933

0.75122

Learner

Sampling

GM

std

r

g

Min

Max

Q25

Q50

Q75

(b) GM

 GBT

RUS

0.48872

0.23777

250

a

0

0.78014

0.33953

0.60566

0.68945

ROS

0.34109

0.25087

250

b

0

0.77439

0.10295

0.35164

0.52541

SMOTEb1

0.25244

0.13924

250

c

0

0.50945

0.17726

0.27133

0.36454

SMOTEb2

0.24145

0.13200

250

cd

0

0.49887

0.14570

0.25059

0.33908

SMOTE

0.22259

0.17815

250

d

0

0.56455

0

0.22840

0.37532

ADASYN

0.09793

0.12322

250

e

0

0.39311

0

0

0.17759

None

0.00907

0.03150

50

f

0

0.14509

0

0

0

 LR

RUS

0.54028

0.23037

250

a

0

0.77315

0.41864

0.66278

0.71993

SMOTE

0.53900

0.23596

250

a

0

0.80154

0.42166

0.64136

0.72653

ADASYN

0.49105

0.25417

250

b

0

0.80124

0.32327

0.59041

0.70910

ROS

0.48725

0.25459

250

b

0

0.79442

0.33676

0.57923

0.69986

SMOTEb1

0.43478

0.17227

250

c

0

0.67841

0.35173

0.49188

0.56532

SMOTEb2

0.42099

0.18294

250

c

0

0.70354

0.32119

0.48474

0.56333

None

0

0

50

d

0

0

0

0

0

 RF

RUS

0.46657

0.24978

250

a

0

0.77101

0.25077

0.57335

0.69443

SMOTE

0.20508

0.10625

250

b

0

0.43130

0.14498

0.22834

0.28849

ADASYN

0.14943

0.09303

250

c

0

0.35404

0.10257

0.14575

0.22886

SMOTEb1

0.11672

0.07686

250

d

0

0.30758

0.10241

0.14469

0.17743

SMOTEb2

0.09289

0.07056

250

de

0

0.23024

0

0.10260

0.14509

ROS

0.08824

0.12095

250

e

0

0.39744

0

0

0.14505

None

0.00823

0.02819

50

f

0

0.10314

0

0

0