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Table 4 ARDL Diagnostic Test.

From: Capitalization and profitability: applicability of capital theories in BRICS banking sector

Models

Variables

Statistics

Brazil

Russia

India

China

South Africa

Model 1

DV: ROA

IV: CAR

Normality J-B value

0.751

(0.686)

2.494

(0.287)

1.579

(0.453)

0.502

(0.777)

1.655

(0.437)

Serial correlation LM test

(F statistics)

0.351

(0.715)

0.679

(0.522)

0.582

(0.571)

1.487

(0.276)

0.141

(0.870)

Heteroscedasticity test (Breusch-Pagan-Godfrey)

(F statistics)

1.101

(0.4301)

0.333

(0.721)

0.477

(0.628)

0.506

(0.765)

0.364

(0.861)

Ramsey reset test (F statistics)

0.933

(0.377)

1.522

(0.148)

0.379

(0.709)

1.872

(0.090)

0.308

(0.765)

Model 2

DV: ROE

IV: CAR

Normality J-B value

0.571

(0.751)

0.598

(0.741)

0.359

(0.835)

0.944

(0.623)

1.390

(0.499)

Serial correlation LM test

(F statistics)

0.259

(0.777)

1.042

(0.396)

0.038

(0.962)

1.279

(0.336)

0.132

(0.877)

Heteroscedasticity test (Breusch-Pagan-Godfrey)

(F statistics)

0.773

(0.590)

0.906

(0.513)

0.541

(0.592)

1.639

(0.240)

2.719

(0.084)

Ramsey reset test (F statistics)

0.975

(0.354)

0.359

(0.327)

0.435

(0.669)

0.091

(0.929)

1.012

(0.329)

Model 3

DV: ROA

IV: CR

Normality J-B value

0.225

(0.893)

1.331

(0.513)

2.707

(0.258)

1.090

(0.579)

1.134

(0.567)

Serial correlation LM test

(F statistics)

1.921

(0.240)

0.784

(0.475)

0.772

(0.480)

0.351

(0.709)

1.268

(0.311)

Heteroscedasticity test (Breusch-Pagan-Godfrey)

(F statistics)

2.069

(0.176)

0.761

(0.483)

0.218

(0.806)

0.098

(0.906)

4.083

(0.036)

Ramsey reset test (F statistics)

1.164

(0.288)

1.075

(0.316)

0.747

(0.466)

1.428

(0.590)

0.412

(0.685)

Model 4

DV: ROE

IV: CR

Normality J-B value

0.147

(0.928)

0.032

(0.983)

2.025

(0.363)

0.363

(0.833)

7.094

(0.064)

Serial correlation LM test

(F statistics)

0.258

(0.782)

0.380

(0.695)

0.465

(0.637)

0.364

(0.703)

0.679

(0.522)

Heteroscedasticity test (ARCH)

Breusch-Pagan-Godfrey

(F statistics)

1.217

(0.404)

0.981

(0.474)

1.109

(0.353)

1.608

(0.235)

3.260

(0.985)

Ramsey reset test (F statistics)

1.595

(0.161)

2.073

(0.068)

0.197

(0.846)

0.163

(0.873)

1.298

(0.213)

Model 5

DV: CAR

IV: ROA

Normality J-B value

0.264 (0.876)

3.080

(0.171)

3.866

(0.144)

0.734

(0.692)

0.191

(0.908)

Serial correlation LM test

(F statistics)

0.988 (0.418)

1.846

(0.212)

0.286

(0.755)

0.340

(0.719)

0.590

(0.574)

Heteroscedasticity test (Breusch-Pagan-Godfrey)

(F statistics)

0.488

(0.801)

0.276

(0.916)

2.770

(0.092)

0.490

(0.777)

0.970

(0.476)

Ramsey reset test (F statistics)

0.576

(0.469)

0.683

(0.510)

1.376

(0.188)

0.373

(0.702)

0.710

(0.493)

Model 6

DV: CAR

IV: ROE

Normality J-B value

0.322

(0.850)

8.788

(0.123)

3.592

(0.165)

1.826

(0.401)

0.419

(0.810)

Serial correlation LM test

(F statistics)

0.765

(0.500)

1.828

(0.141)

0.273

(0.764)

1.237

(0.319)

0.254

(0.782)

Heteroscedasticity test (Breusch-Pagan-Godfrey)

(F statistics)

0.456

(0.823)

0.573

(0.743)

2.727

(0.095)

0.927

(0.415)

3.085

(0.063)

Ramsey reset test (F statistics)

0.841

(0.385)

0.857

(0.415)

1.206

(0.246)

0.490

(0.101)

1.092

(0.306)

Model 7

DV: CR

IV: ROA

Normality J-B value

0.654

(0.720)

0.826

(0.661)

1.529

(0.465)

2.236

(0.326)

1.762

(0.414)

Serial correlation LM test

(F statistics)

0.005

(0.994)

0.230

(0.797)

0.733

(0.497)

0.062

(0.939)

2.129

(0.189)

Heteroscedasticity test (Breusch-Pagan-Godfrey)

(F statistics)

0.652

(0.666)

0.328

(0.724)

0.126

(0.882)

0.195

(0.936)

0.699

(0.657)

Ramsey reset test (F statistics)

0.759

(0.465)

0.060

(0.952)

0.038

(0.970)

1.080

(0.302)

1.038

(0.329)

Model 8

DV: CR

IV: ROE

Normality J-B value

0.599

(0.741)

1.433

(0.488)

1.507

(0.470)

2.638

(0.090)

1.960

(0.078)

Serial correlation LM test

(F statistics)

0.0131

(0.986)

0.407

(0.673)

0.683

(0.521)

0.103

(0.903)

0712

(0.507)

Heteroscedasticity test (Breusch-Pagan-Godfrey)

(F statistics)

1.193

(0.373)

0.062

(0.939)

0.094

(0.910)

0.565

(0.779)

0.206

(0.815)

Ramsey reset test (F statistics)

0.697

(0.501)

0.003

(0.996)

0.060

(0.952)

0.805

(0.451)

0.469

(0.645)

  1. *, ** and *** denote significance at the 10%, 5% and 1% levels, respectively
  2. DV represents Dependent variable and IV represents Independent variable