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Subventions cotonnières des pays développés et distorsions sur le marche mondial : une approche par le modèle vectoriel a correction d'erreur

( Télécharger le fichier original )
par ALAVO O Modeste et AVOUTOU Mathieu
Université d'Abomey-Calavi - Maitrise en Sciences Economiques 2006
  

précédent sommaire suivant

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ANNEXES

ANNEXE 1 : De la stationnarité des variables à la décomposition de la variance

1- Analyse de la stationnarité des variables

TEST ADF

PRIX DU COTON

ADF(1) d=0 avec constante

ADF Test Statistic

-3.890850

1% Critical Value*

-3.6496

 
 

5% Critical Value

-2.9558

 
 

10% Critical Value

-2.6164

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC)

Method: Least Squares

Date: 04/19/06 Time: 21:34

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRC(-1)

-0.586962

0.150857

-3.890850

0.0005

D(LPRC(-1))

0.056695

0.156408

0.362479

0.7196

C

2.484321

0.633789

3.919790

0.0005

R-squared

0.354284

Mean dependent var

0.019029

Adjusted R-squared

0.309752

S.D. dependent var

0.222224

S.E. of regression

0.184626

Akaike info criterion

-0.451904

Sum squared resid

0.988521

Schwarz criterion

-0.314492

Log likelihood

10.23047

F-statistic

7.955706

Durbin-Watson stat

2.048334

Prob(F-statistic)

0.001760

ADF(1) d=0 avec constante et trend

ADF Test Statistic

-3.816645

1% Critical Value*

-4.2712

 
 

5% Critical Value

-3.5562

 
 

10% Critical Value

-3.2109

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC)

Method: Least Squares

Date: 04/19/06 Time: 21:37

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRC(-1)

-0.578010

0.151445

-3.816645

0.0007

D(LPRC(-1))

0.022866

0.160764

0.142235

0.8879

C

2.507332

0.635475

3.945601

0.0005

@TREND(1970)

-0.003426

0.003633

-0.942832

0.3538

R-squared

0.374153

Mean dependent var

0.019029

Adjusted R-squared

0.307099

S.D. dependent var

0.222224

S.E. of regression

0.184981

Akaike info criterion

-0.420659

Sum squared resid

0.958103

Schwarz criterion

-0.237442

Log likelihood

10.73054

F-statistic

5.579802

Durbin-Watson stat

2.079191

Prob(F-statistic)

0.003949

ADF(1) d=0 ni constante ni trend

ADF Test Statistic

0.376847

1% Critical Value*

-2.6369

 
 

5% Critical Value

-1.9517

 
 

10% Critical Value

-1.6213

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC)

Method: Least Squares

Date: 04/19/06 Time: 21:38

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRC(-1)

0.003575

0.009486

0.376847

0.7089

D(LPRC(-1))

-0.129207

0.181248

-0.712872

0.4814

R-squared

0.012172

Mean dependent var

0.019029

Adjusted R-squared

-0.020756

S.D. dependent var

0.222224

S.E. of regression

0.224519

Akaike info criterion

-0.089255

Sum squared resid

1.512258

Schwarz criterion

0.002354

Log likelihood

3.428079

F-statistic

0.369655

Durbin-Watson stat

2.059941

Prob(F-statistic)

0.547768

ADF(3) d=0 avec constante

ADF Test Statistic

-2.153936

1% Critical Value*

-3.6661

 
 

5% Critical Value

-2.9627

 
 

10% Critical Value

-2.6200

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC)

Method: Least Squares

Date: 04/19/06 Time: 21:43

Sample(adjusted): 1974 2003

Included observations: 30 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRC(-1)

-0.483622

0.224530

-2.153936

0.0411

D(LPRC(-1))

-0.004410

0.198614

-0.022204

0.9825

D(LPRC(-2))

-0.169328

0.178103

-0.950730

0.3508

D(LPRC(-3))

0.170741

0.164437

1.038337

0.3091

C

2.041210

0.949371

2.150064

0.0414

R-squared

0.342753

Mean dependent var

-0.003746

Adjusted R-squared

0.237593

S.D. dependent var

0.206571

S.E. of regression

0.180369

Akaike info criterion

-0.436611

Sum squared resid

0.813326

Schwarz criterion

-0.203078

Log likelihood

11.54916

F-statistic

3.259363

Durbin-Watson stat

1.637849

Prob(F-statistic)

0.027836

ADF(3) d=0 avec constante et trend

ADF Test Statistic

-2.234711

1% Critical Value*

-4.2949

 
 

5% Critical Value

-3.5670

 
 

10% Critical Value

-3.2169

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC)

Method: Least Squares

Date: 04/19/06 Time: 21:44

Sample(adjusted): 1974 2003

Included observations: 30 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRC(-1)

-0.506474

0.226640

-2.234711

0.0350

D(LPRC(-1))

-0.039123

0.202837

-0.192881

0.8487

D(LPRC(-2))

-0.223665

0.188284

-1.187912

0.2465

D(LPRC(-3))

0.113067

0.176593

0.640270

0.5281

C

2.214749

0.971146

2.280553

0.0317

@TREND(1970)

-0.004060

0.004435

-0.915416

0.3691

R-squared

0.364927

Mean dependent var

-0.003746

Adjusted R-squared

0.232620

S.D. dependent var

0.206571

S.E. of regression

0.180956

Akaike info criterion

-0.404264

Sum squared resid

0.785886

Schwarz criterion

-0.124025

Log likelihood

12.06397

F-statistic

2.758190

Durbin-Watson stat

1.607444

Prob(F-statistic)

0.041727

ADF(3) d=0 ni constante ni trend

ADF Test Statistic

-0.139022

1% Critical Value*

-2.6423

 
 

5% Critical Value

-1.9526

 
 

10% Critical Value

-1.6216

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC)

Method: Least Squares

Date: 04/19/06 Time: 21:45

Sample(adjusted): 1974 2003

Included observations: 30 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRC(-1)

-0.001164

0.008374

-0.139022

0.8905

D(LPRC(-1))

-0.267751

0.166890

-1.604359

0.1207

D(LPRC(-2))

-0.349782

0.167675

-2.086070

0.0469

D(LPRC(-3))

0.115463

0.173361

0.666025

0.5113

R-squared

0.221221

Mean dependent var

-0.003746

Adjusted R-squared

0.131362

S.D. dependent var

0.206571

S.E. of regression

0.192526

Akaike info criterion

-0.333610

Sum squared resid

0.963719

Schwarz criterion

-0.146783

Log likelihood

9.004146

F-statistic

2.461862

Durbin-Watson stat

1.705462

Prob(F-statistic)

0.085004

ADF(1) d=1 avec constante

ADF Test Statistic

-5.256104

1% Critical Value*

-3.6576

 
 

5% Critical Value

-2.9591

 
 

10% Critical Value

-2.6181

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC,2)

Method: Least Squares

Date: 04/19/06 Time: 21:47

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRC(-1))

-1.473714

0.280382

-5.256104

0.0000

D(LPRC(-1),2)

0.275638

0.186182

1.480479

0.1499

C

0.018399

0.039606

0.464546

0.6458

R-squared

0.610834

Mean dependent var

-0.002085

Adjusted R-squared

0.583036

S.D. dependent var

0.340189

S.E. of regression

0.219669

Akaike info criterion

-0.101622

Sum squared resid

1.351128

Schwarz criterion

0.037151

Log likelihood

4.575138

F-statistic

21.97433

Durbin-Watson stat

1.867322

Prob(F-statistic)

0.000002

ADF(1) d=1 avec constante et trend

ADF Test Statistic

-5.464718

1% Critical Value*

-4.2826

 
 

5% Critical Value

-3.5614

 
 

10% Critical Value

-3.2138

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC,2)

Method: Least Squares

Date: 04/19/06 Time: 21:48

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRC(-1))

-1.639556

0.300026

-5.464718

0.0000

D(LPRC(-1),2)

0.375419

0.196430

1.911208

0.0666

C

0.139774

0.094990

1.471460

0.1527

@TREND(1970)

-0.006636

0.004737

-1.400903

0.1726

R-squared

0.637204

Mean dependent var

-0.002085

Adjusted R-squared

0.596893

S.D. dependent var

0.340189

S.E. of regression

0.215988

Akaike info criterion

-0.107272

Sum squared resid

1.259575

Schwarz criterion

0.077759

Log likelihood

5.662712

F-statistic

15.80733

Durbin-Watson stat

1.840482

Prob(F-statistic)

0.000004

ADF(1) d=1 ni constante ni trend

ADF Test Statistic

-5.307806

1% Critical Value*

-2.6395

 
 

5% Critical Value

-1.9521

 
 

10% Critical Value

-1.6214

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRC,2)

Method: Least Squares

Date: 04/19/06 Time: 21:49

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRC(-1))

-1.462507

0.275539

-5.307806

0.0000

D(LPRC(-1),2)

0.270785

0.183358

1.476809

0.1505

R-squared

0.607834

Mean dependent var

-0.002085

Adjusted R-squared

0.594311

S.D. dependent var

0.340189

S.E. of regression

0.216679

Akaike info criterion

-0.158460

Sum squared resid

1.361542

Schwarz criterion

-0.065945

Log likelihood

4.456133

F-statistic

44.94832

Durbin-Watson stat

1.867560

Prob(F-statistic)

0.000000

SUBVENTION

ADF(1) d=0 avec constante

ADF Test Statistic

-2.460223

1% Critical Value*

-3.6496

 
 

5% Critical Value

-2.9558

 
 

10% Critical Value

-2.6164

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LNSUB)

Method: Least Squares

Date: 04/19/06 Time: 21:51

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LNSUB(-1)

-0.203906

0.082881

-2.460223

0.0201

D(LNSUB(-1))

-0.166002

0.165226

-1.004695

0.3234

C

1.780182

0.705094

2.524745

0.0173

R-squared

0.200248

Mean dependent var

0.039240

Adjusted R-squared

0.145093

S.D. dependent var

0.180744

S.E. of regression

0.167118

Akaike info criterion

-0.651175

Sum squared resid

0.809923

Schwarz criterion

-0.513763

Log likelihood

13.41881

F-statistic

3.630626

Durbin-Watson stat

2.158259

Prob(F-statistic)

0.039161

ADF(1) d=0 avec constante et trend

ADF Test Statistic

-3.298779

1% Critical Value*

-4.2712

 
 

5% Critical Value

-3.5562

 
 

10% Critical Value

-3.2109

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LNSUB)

Method: Least Squares

Date: 04/19/06 Time: 21:52

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LNSUB(-1)

-0.566268

0.171660

-3.298779

0.0026

D(LNSUB(-1))

0.017501

0.172082

0.101702

0.9197

C

4.574276

1.352271

3.382661

0.0021

@TREND(1970)

0.015942

0.006749

2.362048

0.0254

R-squared

0.333129

Mean dependent var

0.039240

Adjusted R-squared

0.261678

S.D. dependent var

0.180744

S.E. of regression

0.155305

Akaike info criterion

-0.770380

Sum squared resid

0.675352

Schwarz criterion

-0.587163

Log likelihood

16.32608

F-statistic

4.662374

Durbin-Watson stat

2.034771

Prob(F-statistic)

0.009149

ADF(1) d=0 ni constante ni trend

ADF Test Statistic

1.328150

1% Critical Value*

-2.6369

 
 

5% Critical Value

-1.9517

 
 

10% Critical Value

-1.6213

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LNSUB)

Method: Least Squares

Date: 04/19/06 Time: 21:53

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LNSUB(-1)

0.005153

0.003880

1.328150

0.1941

D(LNSUB(-1))

-0.177670

0.179347

-0.990650

0.3298

R-squared

0.024459

Mean dependent var

0.039240

Adjusted R-squared

-0.008059

S.D. dependent var

0.180744

S.E. of regression

0.181471

Akaike info criterion

-0.514985

Sum squared resid

0.987948

Schwarz criterion

-0.423376

Log likelihood

10.23975

F-statistic

0.752168

Durbin-Watson stat

2.140734

Prob(F-statistic)

0.392675

ADF(1) d=1 avec constante

ADF Test Statistic

-6.152996

1% Critical Value*

-3.6576

 
 

5% Critical Value

-2.9591

 
 

10% Critical Value

-2.6181

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LNSUB,2)

Method: Least Squares

Date: 04/19/06 Time: 21:54

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LNSUB(-1))

-1.638514

0.266295

-6.152996

0.0000

D(LNSUB(-1),2)

0.372849

0.173461

2.149477

0.0404

C

0.060200

0.032486

1.853121

0.0744

R-squared

0.659507

Mean dependent var

-0.004803

Adjusted R-squared

0.635186

S.D. dependent var

0.283353

S.E. of regression

0.171144

Akaike info criterion

-0.600852

Sum squared resid

0.820132

Schwarz criterion

-0.462079

Log likelihood

12.31321

F-statistic

27.11686

Durbin-Watson stat

1.777302

Prob(F-statistic)

0.000000

ADF(1) d=1 avec constante et trend

ADF Test Statistic

-6.562313

1% Critical Value*

-4.2826

 
 

5% Critical Value

-3.5614

 
 

10% Critical Value

-3.2138

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LNSUB,2)

Method: Least Squares

Date: 04/19/06 Time: 21:56

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LNSUB(-1))

-1.785594

0.272098

-6.562313

0.0000

D(LNSUB(-1),2)

0.456134

0.175018

2.606209

0.0147

C

0.173112

0.073756

2.347075

0.0265

@TREND(1970)

-0.005951

0.003516

-1.692507

0.1021

R-squared

0.692167

Mean dependent var

-0.004803

Adjusted R-squared

0.657963

S.D. dependent var

0.283353

S.E. of regression

0.165716

Akaike info criterion

-0.637172

Sum squared resid

0.741465

Schwarz criterion

-0.452142

Log likelihood

13.87617

F-statistic

20.23662

Durbin-Watson stat

1.778922

Prob(F-statistic)

0.000000

ADF(1) d=1 ni constante ni trend

ADF Test Statistic

-5.637301

1% Critical Value*

-2.6395

 
 

5% Critical Value

-1.9521

 
 

10% Critical Value

-1.6214

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LNSUB,2)

Method: Least Squares

Date: 04/19/06 Time: 21:56

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LNSUB(-1))

-1.478849

0.262333

-5.637301

0.0000

D(LNSUB(-1),2)

0.293343

0.174982

1.676418

0.1044

R-squared

0.617747

Mean dependent var

-0.004803

Adjusted R-squared

0.604566

S.D. dependent var

0.283353

S.E. of regression

0.178182

Akaike info criterion

-0.549681

Sum squared resid

0.920717

Schwarz criterion

-0.457166

Log likelihood

10.52006

F-statistic

46.86606

Durbin-Watson stat

1.791056

Prob(F-statistic)

0.000000

CONSOMMATION

ADF(1) ; d=0 ; Avec constante

ADF Test Statistic

-0.558113

1% Critical Value*

-3.6496

 
 

5% Critical Value

-2.9558

 
 
 
 
 
 

10% Critical Value

-2.6164

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LCONS)

Method: Least Squares

Date: 03/20/06 Time: 18:40

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LCONS(-1)

-0.019541

0.035013

-0.558113

0.5811

D(LCONS(-1))

-0.079801

0.186219

-0.428536

0.6714

C

0.101903

0.151144

0.674208

0.5055

R-squared

0.018612

Mean dependent var

0.016097

Adjusted R-squared

-0.049070

S.D. dependent var

0.032577

S.E. of regression

0.033366

Akaike info criterion

-3.873476

Sum squared resid

0.032286

Schwarz criterion

-3.736064

Log likelihood

64.97562

F-statistic

0.274996

Durbin-Watson stat

1.993101

Prob(F-statistic)

0.761534

ADF(1) ; d=1 ; Avec constante

ADF Test Statistic

-3.920111

1% Critical Value*

-3.6576

 
 

5% Critical Value

-2.9591

 
 

10% Critical Value

-2.6181

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LCONS,2)

Method: Least Squares

Date: 03/20/06 Time: 18:58

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LCONS(-1))

-1.097341

0.279926

-3.920111

0.0005

D(LCONS(-1),2)

0.005917

0.191300

0.030929

0.9755

C

0.017634

0.007682

2.295392

0.0294

R-squared

0.541928

Mean dependent var

-0.000787

Adjusted R-squared

0.509209

S.D. dependent var

0.048721

S.E. of regression

0.034132

Akaike info criterion

-3.825386

Sum squared resid

0.032620

Schwarz criterion

-3.686613

Log likelihood

62.29349

F-statistic

16.56288

Durbin-Watson stat

1.985804

Prob(F-statistic)

0.000018

ADF(1) ; d=0 ; Avec Trend et constante

ADF Test Statistic

-1.696559

1% Critical Value*

-4.2712

 
 

5% Critical Value

-3.5562

 
 

10% Critical Value

-3.2109

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LCONS)

Method: Least Squares

Date: 03/20/06 Time: 18:48

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LCONS(-1)

-0.206428

0.121675

-1.696559

0.1009

D(LCONS(-1))

0.012603

0.190372

0.066200

0.9477

C

0.845869

0.487703

1.734394

0.0938

@TREND(1970)

0.003552

0.002220

1.600109

0.1208

R-squared

0.100833

Mean dependent var

0.016097

Adjusted R-squared

0.004494

S.D. dependent var

0.032577

S.E. of regression

0.032503

Akaike info criterion

-3.898475

Sum squared resid

0.029581

Schwarz criterion

-3.715258

Log likelihood

66.37560

F-statistic

1.046644

Durbin-Watson stat

1.987690

Prob(F-statistic)

0.387341

ADF(1) ; d=1 ; Avec Trend et constante

ADF Test Statistic

-3.850168

1% Critical Value*

-4.2826

 
 

5% Critical Value

-3.5614

 
 

10% Critical Value

-3.2138

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LCONS,2)

Method: Least Squares

Date: 03/20/06 Time: 18:59

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LCONS(-1))

-1.097462

0.285043

-3.850168

0.0007

D(LCONS(-1),2)

0.006256

0.194855

0.032105

0.9746

C

0.018505

0.014827

1.248099

0.2227

@TREND(1970)

-4.83E-05

0.000698

-0.069201

0.9453

R-squared

0.542009

Mean dependent var

-0.000787

Adjusted R-squared

0.491121

S.D. dependent var

0.048721

S.E. of regression

0.034755

Akaike info criterion

-3.761047

Sum squared resid

0.032614

Schwarz criterion

-3.576017

Log likelihood

62.29624

F-statistic

10.65105

Durbin-Watson stat

1.986426

Prob(F-statistic)

0.000085

ADF(1) ; d=0 ; Ni Trend et constante

ADF Test Statistic

2.635461

1% Critical Value*

-2.6369

 
 

5% Critical Value

-1.9517

 
 

10% Critical Value

-1.6213

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LCONS)

Method: Least Squares

Date: 03/20/06 Time: 18:50

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LCONS(-1)

0.004042

0.001534

2.635461

0.0132

D(LCONS(-1))

-0.090075

0.183899

-0.489808

0.6278

R-squared

0.003230

Mean dependent var

0.016097

Adjusted R-squared

-0.029996

S.D. dependent var

0.032577

S.E. of regression

0.033062

Akaike info criterion

-3.920423

Sum squared resid

0.032792

Schwarz criterion

-3.828815

Log likelihood

64.72678

F-statistic

0.097203

Durbin-Watson stat

1.989165

Prob(F-statistic)

0.757369

ADF(1) ; d=1 ; Ni Trend et constante

ADF Test Statistic

-2.967966

1% Critical Value*

-2.6395

 
 

5% Critical Value

-1.9521

 
 

10% Critical Value

-1.6214

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LCONS,2)

Method: Least Squares

Date: 03/20/06 Time: 19:03

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LCONS(-1))

-0.710131

0.239265

-2.967966

0.0060

D(LCONS(-1),2)

-0.186298

0.184224

-1.011258

0.3203

R-squared

0.455732

Mean dependent var

-0.000787

Adjusted R-squared

0.436964

S.D. dependent var

0.048721

S.E. of regression

0.036558

Akaike info criterion

-3.717486

Sum squared resid

0.038758

Schwarz criterion

-3.624971

Log likelihood

59.62104

F-statistic

24.28253

Durbin-Watson stat

2.104406

Prob(F-statistic)

0.000031

PRODUCTION

ADF(1) d=0, avec constante

ADF Test Statistic

-1.403881

1% Critical Value*

-3.6496

 
 

5% Critical Value

-2.9558

 
 

10% Critical Value

-2.6164

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO)

Method: Least Squares

Date: 03/20/06 Time: 19:23

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRO(-1)

-0.136825

0.097462

-1.403881

0.1710

D(LPRO(-1))

-0.239482

0.175644

-1.363452

0.1832

C

0.608687

0.421022

1.445736

0.1590

R-squared

0.144691

Mean dependent var

0.013868

Adjusted R-squared

0.085705

S.D. dependent var

0.097728

S.E. of regression

0.093446

Akaike info criterion

-1.813799

Sum squared resid

0.253234

Schwarz criterion

-1.676386

Log likelihood

32.02078

F-statistic

2.452944

Durbin-Watson stat

2.244308

Prob(F-statistic)

0.103701

ADF(1) d=0, avec trend et constante

ADF Test Statistic

-3.657865

1% Critical Value*

-4.2712

 
 

5% Critical Value

-3.5562

 
 

10% Critical Value

-3.2109

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO)

Method: Least Squares

Date: 03/20/06 Time: 19:26

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRO(-1)

-0.875278

0.239287

-3.657865

0.0010

D(LPRO(-1))

0.158223

0.193829

0.816303

0.4212

C

3.540497

0.960768

3.685069

0.0010

@TREND(1970)

0.014524

0.004405

3.296828

0.0027

R-squared

0.383864

Mean dependent var

0.013868

Adjusted R-squared

0.317849

S.D. dependent var

0.097728

S.E. of regression

0.080716

Akaike info criterion

-2.079293

Sum squared resid

0.182422

Schwarz criterion

-1.896076

Log likelihood

37.26869

F-statistic

5.814832

Durbin-Watson stat

1.898679

Prob(F-statistic)

0.003207

ADF(1) d=0, ni trend ni constante

ADF Test Statistic

1.008255

1% Critical Value*

-2.6369

 
 

5% Critical Value

-1.9517

 
 

10% Critical Value

-1.6213

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO)

Method: Least Squares

Date: 03/20/06 Time: 19:28

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRO(-1)

0.003968

0.003936

1.008255

0.3214

D(LPRO(-1))

-0.293699

0.174683

-1.681323

0.1031

R-squared

0.083046

Mean dependent var

0.013868

Adjusted R-squared

0.052480

S.D. dependent var

0.097728

S.E. of regression

0.095129

Akaike info criterion

-1.806704

Sum squared resid

0.271486

Schwarz criterion

-1.715095

Log likelihood

30.90726

F-statistic

2.717005

Durbin-Watson stat

2.316510

Prob(F-statistic)

0.109719

ADF(1) d=1, avec constante

ADF Test Statistic

-7.829995

1% Critical Value*

-3.6576

 
 

5% Critical Value

-2.9591

 
 

10% Critical Value

-2.6181

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO,2)

Method: Least Squares

Date: 03/20/06 Time: 19:31

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRO(-1))

-2.012004

0.256961

-7.829995

0.0000

D(LPRO(-1),2)

0.554769

0.162033

3.423793

0.0019

C

0.028998

0.015314

1.893508

0.0687

R-squared

0.753568

Mean dependent var

6.14E-05

Adjusted R-squared

0.735965

S.D. dependent var

0.159970

S.E. of regression

0.082200

Akaike info criterion

-2.067565

Sum squared resid

0.189190

Schwarz criterion

-1.928792

Log likelihood

35.04725

F-statistic

42.81071

Durbin-Watson stat

2.147420

Prob(F-statistic)

0.000000

ADF(1) d=1, avec trend et constante

ADF Test Statistic

-7.703165

1% Critical Value*

-4.2826

 
 

5% Critical Value

-3.5614

 
 

10% Critical Value

-3.2138

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO,2)

Method: Least Squares

Date: 03/20/06 Time: 19:32

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRO(-1))

-2.015330

0.261624

-7.703165

0.0000

D(LPRO(-1),2)

0.555696

0.164824

3.371449

0.0023

C

0.037155

0.034195

1.086580

0.2868

@TREND(1970)

-0.000451

0.001681

-0.267977

0.7908

R-squared

0.754221

Mean dependent var

6.14E-05

Adjusted R-squared

0.726913

S.D. dependent var

0.159970

S.E. of regression

0.083597

Akaike info criterion

-2.005705

Sum squared resid

0.188688

Schwarz criterion

-1.820674

Log likelihood

35.08842

F-statistic

27.61830

Durbin-Watson stat

2.148584

Prob(F-statistic)

0.000000

ADF(1) d=1, ni trend ni constante

ADF Test Statistic

-7.281950

1% Critical Value*

-2.6395

 
 

5% Critical Value

-1.9521

 
 

10% Critical Value

-1.6214

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO,2)

Method: Least Squares

Date: 03/20/06 Time: 19:34

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRO(-1))

-1.883832

0.258699

-7.281950

0.0000

D(LPRO(-1),2)

0.483108

0.164425

2.938169

0.0064

R-squared

0.722012

Mean dependent var

6.14E-05

Adjusted R-squared

0.712426

S.D. dependent var

0.159970

S.E. of regression

0.085786

Akaike info criterion

-2.011591

Sum squared resid

0.213416

Schwarz criterion

-1.919076

Log likelihood

33.17966

F-statistic

75.32110

Durbin-Watson stat

2.006281

Prob(F-statistic)

0.000000

ADF(3) d=0 ni constante, ni tendance

ADF Test Statistic

1.863045

1% Critical Value*

-2.6423

 
 

5% Critical Value

-1.9526

 
 

10% Critical Value

-1.6216

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO3)

Method: Least Squares

Date: 04/30/06 Time: 16:03

Sample(adjusted): 1974 2003

Included observations: 30 after adjusting endpoints

 
 
 
 
 

Variable

Coefficient

Std. Error

t-Statistic

Prob.

 
 
 
 
 

LPRO3(-1)

0.007286

0.003911

1.863045

0.0738

D(LPRO3(-1))

-0.539531

0.195159

-2.764570

0.0103

D(LPRO3(-2))

-0.621773

0.187619

-3.314012

0.0027

D(LPRO3(-3))

-0.136872

0.199691

-0.685418

0.4991

 
 
 
 
 

R-squared

0.372457

Mean dependent var

0.012972

Adjusted R-squared

0.300049

S.D. dependent var

0.100878

S.E. of regression

0.084398

Akaike info criterion

-1.982980

Sum squared resid

0.185199

Schwarz criterion

-1.796153

Log likelihood

33.74469

F-statistic

5.143814

Durbin-Watson stat

2.061301

Prob(F-statistic)

0.006320

 
 
 
 
 

ADF(3) d=0 avec constante et tendance

ADF Test Statistic

-1.854966

1% Critical Value*

-4.2949

 
 

5% Critical Value

-3.5670

 
 

10% Critical Value

-3.2169

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO2)

Method: Least Squares

Date: 04/30/06 Time: 16:03

Sample(adjusted): 1974 2003

Included observations: 30 after adjusting endpoints

 
 
 
 
 

Variable

Coefficient

Std. Error

t-Statistic

Prob.

 
 
 
 
 

LPRO2(-1)

-0.620161

0.334325

-1.854966

0.0759

D(LPRO2(-1))

-0.056106

0.322056

-0.174211

0.8632

D(LPRO2(-2))

-0.308226

0.247981

-1.242943

0.2259

D(LPRO2(-3))

0.034046

0.216241

0.157446

0.8762

C

2.512003

1.333844

1.883282

0.0718

@TREND(1970)

0.010588

0.006150

1.721655

0.0980

 
 
 
 
 

R-squared

0.454336

Mean dependent var

0.012972

Adjusted R-squared

0.340656

S.D. dependent var

0.100878

S.E. of regression

0.081913

Akaike info criterion

-1.989454

Sum squared resid

0.161035

Schwarz criterion

-1.709215

Log likelihood

35.84181

F-statistic

3.996619

Durbin-Watson stat

2.007358

Prob(F-statistic)

0.008855

 
 
 
 
 

ADF(3) d=0 avec constante

ADF Test Statistic

-0.693628

1% Critical Value*

-3.6661

 
 

5% Critical Value

-2.9627

 
 

10% Critical Value

-2.6200

 
 
 
 
 

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRO1)

Method: Least Squares

Date: 04/30/06 Time: 16:11

Sample(adjusted): 1974 2003

Included observations: 30 after adjusting endpoints

 
 
 
 
 

Variable

Coefficient

Std. Error

t-Statistic

Prob.

 
 
 
 
 

LPRO1(-1)

-0.067965

0.097985

-0.693628

0.4943

D(LPRO1(-1))

-0.493323

0.205695

-2.398323

0.0243

D(LPRO1(-2))

-0.589613

0.193687

-3.044157

0.0054

D(LPRO1(-3))

-0.130488

0.201452

-0.647737

0.5231

C

0.325599

0.423619

0.768611

0.4493

 
 
 
 
 

R-squared

0.386944

Mean dependent var

0.012972

Adjusted R-squared

0.288854

S.D. dependent var

0.100878

S.E. of regression

0.085070

Akaike info criterion

-1.939668

Sum squared resid

0.180924

Schwarz criterion

-1.706135

Log likelihood

34.09502

F-statistic

3.944819

Durbin-Watson stat

2.048737

Prob(F-statistic)

0.012880

 
 
 
 
 

PRIX DU POLYESTER

ADF(1) d=0, avec constante

ADF Test Statistic

-2.682483

1% Critical Value*

-3.6496

 
 

5% Critical Value

-2.9558

 
 

10% Critical Value

-2.6164

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRP)

Method: Least Squares

Date: 03/20/06 Time: 19:36

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRP(-1)

-0.185097

0.069002

-2.682483

0.0119

D(LPRP(-1))

0.341595

0.157073

2.174756

0.0379

C

0.778026

0.286140

2.719037

0.0109

R-squared

0.270769

Mean dependent var

0.015572

Adjusted R-squared

0.220478

S.D. dependent var

0.107905

S.E. of regression

0.095270

Akaike info criterion

-1.775150

Sum squared resid

0.263213

Schwarz criterion

-1.637738

Log likelihood

31.40241

F-statistic

5.383968

Durbin-Watson stat

1.963681

Prob(F-statistic)

0.010269

ADF(1) d=0, avec trend et constante

ADF Test Statistic

-2.200966

1% Critical Value*

-4.2712

 
 

5% Critical Value

-3.5562

 
 

10% Critical Value

-3.2109

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRP)

Method: Least Squares

Date: 03/20/06 Time: 19:38

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRP(-1)

-0.186631

0.084795

-2.200966

0.0361

D(LPRP(-1))

0.343429

0.169645

2.024396

0.0526

C

0.783060

0.330304

2.370725

0.0249

@TREND(1970)

7.43E-05

0.002302

0.032288

0.9745

R-squared

0.270796

Mean dependent var

0.015572

Adjusted R-squared

0.192667

S.D. dependent var

0.107905

S.E. of regression

0.096954

Akaike info criterion

-1.712688

Sum squared resid

0.263203

Schwarz criterion

-1.529471

Log likelihood

31.40300

F-statistic

3.466019

Durbin-Watson stat

1.963455

Prob(F-statistic)

0.029372

ADF(1) d=0, ni trend ni constante

ADF Test Statistic

0.486757

1% Critical Value*

-2.6369

 
 

5% Critical Value

-1.9517

 
 

10% Critical Value

-1.6213

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRP)

Method: Least Squares

Date: 03/20/06 Time: 19:39

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

LPRP(-1)

0.002192

0.004504

0.486757

0.6300

D(LPRP(-1))

0.297459

0.172075

1.728654

0.0942

R-squared

0.084862

Mean dependent var

0.015572

Adjusted R-squared

0.054357

S.D. dependent var

0.107905

S.E. of regression

0.104931

Akaike info criterion

-1.610565

Sum squared resid

0.330316

Schwarz criterion

-1.518957

Log likelihood

27.76905

F-statistic

2.781930

Durbin-Watson stat

1.851040

Prob(F-statistic)

0.105740

ADF(1) d=1, avec constante

ADF Test Statistic

-4.320814

1% Critical Value*

-3.6576

 
 

5% Critical Value

-2.9591

 
 

10% Critical Value

-2.6181

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRP,2)

Method: Least Squares

Date: 03/20/06 Time: 19:41

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRP(-1))

-0.915207

0.211814

-4.320814

0.0002

D(LPRP(-1),2)

0.278626

0.177534

1.569423

0.1278

C

0.015995

0.018824

0.849751

0.4027

R-squared

0.417048

Mean dependent var

0.002114

Adjusted R-squared

0.375408

S.D. dependent var

0.130781

S.E. of regression

0.103357

Akaike info criterion

-1.609481

Sum squared resid

0.299117

Schwarz criterion

-1.470708

Log likelihood

27.94696

F-statistic

10.01569

Durbin-Watson stat

1.992261

Prob(F-statistic)

0.000523

ADF(1) d=1, avec trend et constante

ADF Test Statistic

-4.986836

1% Critical Value*

-4.2826

 
 

5% Critical Value

-3.5614

 
 

10% Critical Value

-3.2138

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRP,2)

Method: Least Squares

Date: 03/20/06 Time: 19:42

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRP(-1))

-1.061729

0.212906

-4.986836

0.0000

D(LPRP(-1),2)

0.335780

0.170421

1.970292

0.0591

C

0.095390

0.042569

2.240845

0.0335

@TREND(1970)

-0.004290

0.002089

-2.053866

0.0498

R-squared

0.495819

Mean dependent var

0.002114

Adjusted R-squared

0.439799

S.D. dependent var

0.130781

S.E. of regression

0.097885

Akaike info criterion

-1.690135

Sum squared resid

0.258699

Schwarz criterion

-1.505104

Log likelihood

30.19709

F-statistic

8.850725

Durbin-Watson stat

2.121695

Prob(F-statistic)

0.000300

ADF(1) d=1, ni trend ni constante

ADF Test Statistic

-4.259375

1% Critical Value*

-2.6395

 
 

5% Critical Value

-1.9521

 
 

10% Critical Value

-1.6214

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(LPRP,2)

Method: Least Squares

Date: 03/20/06 Time: 19:43

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

D(LPRP(-1))

-0.885773

0.207958

-4.259375

0.0002

D(LPRP(-1),2)

0.267491

0.176199

1.518114

0.1398

R-squared

0.402014

Mean dependent var

0.002114

Adjusted R-squared

0.381394

S.D. dependent var

0.130781

S.E. of regression

0.102861

Akaike info criterion

-1.648536

Sum squared resid

0.306831

Schwarz criterion

-1.556020

Log likelihood

27.55230

F-statistic

19.49614

Durbin-Watson stat

1.977665

Prob(F-statistic)

0.000128

Conclusion : toutes les variables sont intégrées d'ordre 1 : il y a présomption de cointégration

2-Estimation de la tendance de LT par la méthode des MCO (à la Engle-Granger) : Estimation de EQ/LT

Dependent Variable: LPRC

Method: Least Squares

Date: 04/19/06 Time: 21:16

Sample: 1970 2003

Included observations: 34

Variable

Coefficient

Std. Error

t-Statistic

Prob.

C

3.024311

0.722924

4.183444

0.0002

LNSUB

0.577263

0.165251

3.493253

0.0016

LCONS

-0.389138

0.429220

-0.906615

0.3721

LPRO

-1.049172

0.412342

-2.544426

0.0165

LPRP

0.598628

0.160051

3.740229

0.0008

R-squared

0.630597

Mean dependent var

4.180170

Adjusted R-squared

0.579645

S.D. dependent var

0.259579

S.E. of regression

0.168297

Akaike info criterion

-0.591115

Sum squared resid

0.821396

Schwarz criterion

-0.366650

Log likelihood

15.04896

F-statistic

12.37626

Durbin-Watson stat

1.623121

Prob(F-statistic)

0.000005

Stationnarité des résidus :

ADF Test Statistic

-6.595528

1% Critical Value*

-3.6496

 
 

5% Critical Value

-2.9558

 
 

10% Critical Value

-2.6164

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(RESID3)

Method: Least Squares

Date: 04/25/06 Time: 12:40

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

RESID3(-1)

-1.344164

0.203799

-6.595528

0.0000

D(RESID3(-1))

0.485885

0.148773

3.265953

0.0028

C

0.011472

0.023340

0.491505

0.6268

R-squared

0.606844

Mean dependent var

0.007869

Adjusted R-squared

0.579730

S.D. dependent var

0.203433

S.E. of regression

0.131882

Akaike info criterion

-1.124758

Sum squared resid

0.504393

Schwarz criterion

-0.987346

Log likelihood

20.99614

F-statistic

22.38108

Durbin-Watson stat

2.164398

Prob(F-statistic)

0.000001

Conclusion : Confirmation de la possibilité de cointégration des variables

3- Détermination du nombre de retard

Date: 05/11/06 Time: 15:46

Sample(adjusted): 1971 2003

Included observations: 33 after adjusting endpoints

Standard errors & t-statistics in parentheses

 

LPRC

LNSUB

LPRO

LCONS

LPRP

LPRC(-1)

0.205257

0.274352

0.242383

-0.082652

0.255119

 

(0.19352)

(0.15647)

(0.06694)

(0.03065)

(0.09499)

 

(1.06066)

(1.75334)

(3.62082)

(-2.69683)

(2.68573)

 
 
 
 
 
 

LNSUB(-1)

0.303332

0.344130

-0.238073

0.009668

0.051107

 

(0.20291)

(0.16407)

(0.07019)

(0.03214)

(0.09960)

 

(1.49490)

(2.09747)

(-3.39179)

(0.30084)

(0.51311)

 
 
 
 
 
 

LPRO(-1)

-1.268494

-0.259161

0.401130

0.098791

-0.379355

 

(0.46881)

(0.37907)

(0.16217)

(0.07425)

(0.23012)

 

(-2.70577)

(-0.68368)

(2.47351)

(1.33058)

(-1.64850)

 
 
 
 
 
 

LCONS(-1)

0.357396

1.367578

0.978226

0.821134

0.388632

 

(0.45644)

(0.36907)

(0.15789)

(0.07229)

(0.22405)

 

(0.78301)

(3.70551)

(6.19557)

(11.3593)

(1.73459)

 
 
 
 
 
 

LPRP(-1)

0.293807

-0.049724

-0.029107

0.075944

0.661992

 

(0.20572)

(0.16634)

(0.07116)

(0.03258)

(0.10098)

 

(1.42821)

(-0.29894)

(-0.40902)

(2.33100)

(6.55578)

 
 
 
 
 
 

C

3.491248

-0.123557

-0.497207

0.311607

-0.131247

 

(0.97673)

(0.78976)

(0.33787)

(0.15469)

(0.47944)

 

(3.57441)

(-0.15645)

(-1.47159)

(2.01443)

(-0.27375)

R-squared

0.512180

0.874628

0.903856

0.979403

0.899236

Adj. R-squared

0.421843

0.851411

0.886052

0.975589

0.880576

Sum sq. resids

0.807513

0.527949

0.096627

0.020254

0.194566

S.E. equation

0.172939

0.139834

0.059823

0.027389

0.084889

F-statistic

5.669659

37.67185

50.76589

256.7778

48.19041

Log likelihood

14.39504

21.40686

49.42621

75.20757

37.87760

Akaike AIC

-0.508790

-0.933749

-2.631891

-4.194398

-1.931976

Schwarz SC

-0.236698

-0.661657

-2.359799

-3.922306

-1.659884

Mean dependent

4.202674

8.514157

4.328230

4.329735

4.141739

S.D. dependent

0.227442

0.362761

0.177220

0.175300

0.245644

Determinant Residual Covariance

2.25E-12

 
 
 

Log Likelihood

208.3760

 
 
 

Akaike Information Criteria

-10.81067

-10.82271

-11.10134

-11.42893

Schwarz Criteria

-9.450204

-8.303478

-7.400730

-6.524736

Date: 05/11/06 Time: 15:55

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Standard errors & t-statistics in parentheses

 

LPRC

LNSUB

LPRO

LCONS

LPRP

LPRC(-1)

0.054017

0.167893

0.296354

-0.122028

0.177222

 

(0.23839)

(0.21391)

(0.07140)

(0.03788)

(0.11618)

 

(0.22659)

(0.78486)

(4.15080)

(-3.22144)

(1.52541)

 
 
 
 
 
 

LPRC(-2)

-0.191853

0.220860

-0.154710

0.068977

0.028441

 

(0.33366)

(0.29940)

(0.09993)

(0.05302)

(0.16261)

 

(-0.57499)

(0.73768)

(-1.54820)

(1.30103)

(0.17491)

 
 
 
 
 
 

LNSUB(-1)

0.235207

0.339353

-0.260789

-0.034177

0.061208

 

(0.25571)

(0.22945)

(0.07658)

(0.04063)

(0.12462)

 

(0.91982)

(1.47896)

(-3.40530)

(-0.84115)

(0.49116)

 
 
 
 
 
 

LNSUB(-2)

0.215523

-0.167257

0.105220

0.024496

0.042116

 

(0.26916)

(0.24152)

(0.08061)

(0.04277)

(0.13117)

 

(0.80072)

(-0.69251)

(1.30527)

(0.57275)

(0.32107)

 
 
 
 
 
 

LPRO(-1)

-0.954584

-0.712120

0.579659

0.023316

-0.315089

 

(0.68804)

(0.61739)

(0.20606)

(0.10933)

(0.33531)

 

(-1.38740)

(-1.15344)

(2.81303)

(0.21327)

(-0.93969)

 
 
 
 
 
 

LPRO(-2)

-0.086501

0.056477

-0.361435

-0.066581

-0.234434

 

(0.56393)

(0.50602)

(0.16889)

(0.08961)

(0.27483)

 

(-0.15339)

(0.11161)

(-2.14005)

(-0.74305)

(-0.85303)

 
 
 
 
 
 

LCONS(-1)

0.992224

1.459671

0.196767

0.966773

1.336411

 

(1.27334)

(1.14259)

(0.38136)

(0.20233)

(0.62056)

 

(0.77923)

(1.27751)

(0.51597)

(4.77820)

(2.15357)

 
 
 
 
 
 

LCONS(-2)

-1.307031

0.567750

0.766128

0.024890

-0.830475

 

(1.19682)

(1.07392)

(0.35844)

(0.19017)

(0.58326)

 

(-1.09209)

(0.52867)

(2.13742)

(0.13088)

(-1.42385)

 
 
 
 
 
 

LPRP(-1)

0.631784

-0.151012

-0.212215

0.027226

0.965613

 

(0.42568)

(0.38197)

(0.12749)

(0.06764)

(0.20745)

 

(1.48419)

(-0.39535)

(-1.66462)

(0.40252)

(4.65467)

 
 
 
 
 
 

LPRP(-2)

-0.185877

0.070733

0.262675

0.013697

-0.333759

 

(0.34410)

(0.30877)

(0.10306)

(0.05468)

(0.16770)

 

(-0.54018)

(0.22908)

(2.54887)

(0.25052)

(-1.99026)

 
 
 
 
 
 

C

4.960554

-0.142300

-0.237564

0.376907

-0.032798

 

(1.30409)

(1.17018)

(0.39056)

(0.20722)

(0.63554)

 

(3.80384)

(-0.12161)

(-0.60826)

(1.81891)

(-0.05161)

R-squared

0.523496

0.853348

0.941023

0.982867

0.910389

Adj. R-squared

0.296590

0.783514

0.912939

0.974708

0.867718

Sum sq. resids

0.618896

0.498322

0.055512

0.015626

0.146991

S.E. equation

0.171672

0.154044

0.051414

0.027278

0.083663

F-statistic

2.307101

12.21965

33.50710

120.4683

21.33473

Log likelihood

17.72283

21.18987

56.30421

76.58685

40.72389

Akaike AIC

-0.420177

-0.636867

-2.831513

-4.099178

-1.857743

Schwarz SC

0.083670

-0.133020

-2.327667

-3.595331

-1.353897

Mean dependent

4.221048

8.541905

4.336001

4.337954

4.158327

S.D. dependent

0.204689

0.331079

0.174250

0.171523

0.230030

Determinant Residual Covariance

4.41E-13

 
 
 

Log Likelihood

228.1634

 
 
 

Akaike Information Criteria

-10.82271

 
 
 

Schwarz Criteria

-8.303478

 
 
 

Date: 05/11/06 Time: 15:57

Sample(adjusted): 1973 2003

Included observations: 31 after adjusting endpoints

Standard errors & t-statistics in parentheses

 

LPRC

LNSUB

LPRO

LCONS

LPRP

LPRC(-1)

-0.245937

0.068784

0.234987

-0.165855

0.086595

 

(0.21720)

(0.29678)

(0.08511)

(0.04853)

(0.14591)

 

(-1.13228)

(0.23177)

(2.76082)

(-3.41779)

(0.59348)

 
 
 
 
 
 

LPRC(-2)

0.413556

0.159916

-0.119117

0.079895

0.183662

 

(0.38810)

(0.53028)

(0.15208)

(0.08671)

(0.26071)

 

(1.06560)

(0.30157)

(-0.78324)

(0.92144)

(0.70446)

 
 
 
 
 
 

LPRC(-3)

-1.104008

0.034854

-0.075947

-0.064501

-0.224231

 

(0.34948)

(0.47751)

(0.13695)

(0.07808)

(0.23477)

 

(-3.15903)

(0.07299)

(-0.55457)

(-0.82611)

(-0.95512)

 
 
 
 
 
 

LNSUB(-1)

0.367848

0.401346

-0.205604

-0.010779

0.099138

 

(0.21292)

(0.29093)

(0.08344)

(0.04757)

(0.14304)

 

(1.72761)

(1.37953)

(-2.46417)

(-0.22659)

(0.69310)

 
 
 
 
 
 

LNSUB(-2)

0.036283

-0.409798

0.029598

0.002050

0.046809

 

(0.28917)

(0.39511)

(0.11332)

(0.06461)

(0.19426)

 

(0.12547)

(-1.03716)

(0.26120)

(0.03173)

(0.24097)

 
 
 
 
 
 

LNSUB(-3)

0.144111

0.243795

0.174075

0.065224

-0.048788

 

(0.24170)

(0.33025)

(0.09471)

(0.05400)

(0.16237)

 

(0.59624)

(0.73821)

(1.83788)

(1.20785)

(-0.30048)

 
 
 
 
 
 

LPRO(-1)

-2.500951

-0.862791

0.491919

-0.049179

-0.798061

 

(0.81222)

(1.10978)

(0.31828)

(0.18146)

(0.54562)

 

(-3.07917)

(-0.77744)

(1.54555)

(-0.27102)

(-1.46266)

 
 
 
 
 
 

LPRO(-2)

0.751703

0.243756

-0.073719

0.045987

-0.065033

 

(0.68931)

(0.94184)

(0.27012)

(0.15400)

(0.46306)

 

(1.09052)

(0.25881)

(-0.27292)

(0.29861)

(-0.14044)

 
 
 
 
 
 

LPRO(-3)

-0.479734

-0.183035

-0.150010

-0.101153

-0.292767

 

(0.51487)

(0.70350)

(0.20176)

(0.11503)

(0.34588)

 

(-0.93175)

(-0.26018)

(-0.74350)

(-0.87936)

(-0.84645)

 
 
 
 
 
 

LCONS(-1)

2.869136

0.947850

0.106287

0.942211

1.890448

 

(1.24666)

(1.70338)

(0.48852)

(0.27852)

(0.83747)

 

(2.30146)

(0.55645)

(0.21757)

(3.38289)

(2.25734)

 
 
 
 
 
 

LCONS(-2)

-5.020108

0.446684

1.106218

0.146441

-1.307816

 

(1.58014)

(2.15904)

(0.61920)

(0.35303)

(1.06149)

 

(-3.17700)

(0.20689)

(1.78652)

(0.41481)

(-1.23205)

 
 
 
 
 
 

LCONS(-3)

2.453802

0.502073

-0.624952

-0.215713

0.355910

 

(1.03224)

(1.41041)

(0.40450)

(0.23062)

(0.69343)

 

(2.37717)

(0.35598)

(-1.54501)

(-0.93537)

(0.51326)

 
 
 
 
 
 

LPRP(-1)

0.620927

0.055480

-0.173332

0.043248

1.019617

 

(0.36526)

(0.49907)

(0.14313)

(0.08160)

(0.24537)

 

(1.69998)

(0.11117)

(-1.21100)

(0.52997)

(4.15546)

 
 
 
 
 
 

LPRP(-2)

0.411054

-0.336099

0.172165

0.007776

-0.445740

 

(0.49126)

(0.67124)

(0.19251)

(0.10976)

(0.33001)

 

(0.83673)

(-0.50071)

(0.89432)

(0.07085)

(-1.35067)

 
 
 
 
 
 

LPRP(-3)

0.096060

0.277100

0.076103

0.044549

0.273411

 

(0.34335)

(0.46915)

(0.13455)

(0.07671)

(0.23066)

 

(0.27977)

(0.59065)

(0.56561)

(0.58075)

(1.18537)

 
 
 
 
 
 

C

7.149779

0.751159

0.182226

0.772576

0.547116

 

(1.43402)

(1.95939)

(0.56194)

(0.32038)

(0.96333)

 

(4.98582)

(0.38336)

(0.32428)

(2.41142)

(0.56794)

R-squared

0.786643

0.839456

0.958332

0.985682

0.912131

Adj. R-squared

0.573286

0.678912

0.916665

0.971363

0.824261

Sum sq. resids

0.242786

0.453267

0.037282

0.012119

0.109564

S.E. equation

0.127223

0.173833

0.049854

0.028424

0.085465

F-statistic

3.686976

5.228821

22.99948

68.84061

10.38053

Log likelihood

31.18113

21.50445

60.22302

77.64150

43.51409

Akaike AIC

-0.979427

-0.355126

-2.853098

-3.976871

-1.775103

Schwarz SC

-0.239305

0.384997

-2.112976

-3.236748

-1.034980

Mean dependent

4.233784

8.565974

4.342848

4.346090

4.178243

S.D. dependent

0.194759

0.306775

0.172699

0.167965

0.203870

Determinant Residual Covariance

5.95E-14

 
 
 

Log Likelihood

252.0708

 
 
 

Akaike Information Criteria

-11.10134

 
 
 

Schwarz Criteria

-7.400730

 
 
 

Date: 05/11/06 Time: 16:01

Sample(adjusted): 1974 2003

Included observations: 30 after adjusting endpoints

Standard errors & t-statistics in parentheses

 

LPRC

LNSUB

LPRO

LCONS

LPRP

LPRC(-1)

-0.226373

0.542015

0.184618

-0.162003

-0.000788

 

(0.43478)

(0.58920)

(0.17405)

(0.09883)

(0.32041)

 

(-0.52066)

(0.91992)

(1.06069)

(-1.63918)

(-0.00246)

 
 
 
 
 
 

LPRC(-2)

0.549416

0.215517

-0.168977

0.052860

0.080895

 

(0.43932)

(0.59534)

(0.17587)

(0.09986)

(0.32375)

 

(1.25062)

(0.36201)

(-0.96080)

(0.52933)

(0.24987)

 
 
 
 
 
 

LPRC(-3)

-0.938749

0.370471

0.056750

-0.104554

-0.233053

 

(0.49139)

(0.66591)

(0.19672)

(0.11170)

(0.36213)

 

(-1.91038)

(0.55634)

(0.28848)

(-0.93603)

(-0.64357)

 
 
 
 
 
 

LPRC(-4)

-0.019533

0.578245

-0.172632

0.056250

-0.142389

 

(0.65439)

(0.88679)

(0.26197)

(0.14875)

(0.48224)

 

(-0.02985)

(0.65206)

(-0.65898)

(0.37815)

(-0.29526)

 
 
 
 
 
 

LNSUB(-1)

0.441311

0.260112

-0.212714

-0.021185

0.097884

 

(0.28327)

(0.38387)

(0.11340)

(0.06439)

(0.20875)

 

(1.55793)

(0.67760)

(-1.87579)

(-0.32901)

(0.46890)

 
 
 
 
 
 

LNSUB(-2)

0.016328

-0.310667

0.073766

0.001531

0.077325

 

(0.32863)

(0.44534)

(0.13156)

(0.07470)

(0.24218)

 

(0.04968)

(-0.69759)

(0.56070)

(0.02050)

(0.31929)

 
 
 
 
 
 

LNSUB(-3)

0.230263

0.129316

0.063591

0.101209

-0.075947

 

(0.36134)

(0.48967)

(0.14465)

(0.08214)

(0.26628)

 

(0.63725)

(0.26409)

(0.43961)

(1.23221)

(-0.28521)

 
 
 
 
 
 

LNSUB(-4)

-0.121277

-0.405189

0.111100

-0.073903

0.078171

 

(0.33098)

(0.44853)

(0.13250)

(0.07524)

(0.24391)

 

(-0.36642)

(-0.90337)

(0.83849)

(-0.98228)

(0.32049)

 
 
 
 
 
 

LPRO(-1)

-2.477442

0.073842

0.372196

0.065756

-0.904958

 

(1.12731)

(1.52767)

(0.45129)

(0.25625)

(0.83076)

 

(-2.19767)

(0.04834)

(0.82474)

(0.25661)

(-1.08932)

 
 
 
 
 
 

LPRO(-2)

0.568162

0.184654

-0.488380

0.116314

-0.393010

 

(1.17650)

(1.59433)

(0.47098)

(0.26743)

(0.86701)

 

(0.48293)

(0.11582)

(-1.03694)

(0.43493)

(-0.45330)

 
 
 
 
 
 

LPRO(-3)

-0.385009

-0.304832

0.088451

-0.240408

-0.264362

 

(0.79768)

(1.08098)

(0.31933)

(0.18132)

(0.58784)

 

(-0.48266)

(-0.28200)

(0.27699)

(-1.32585)

(-0.44972)

 
 
 
 
 
 

LPRO(-4)

-0.332337

0.199262

-0.159839

0.160311

-0.268490

 

(0.66419)

(0.90008)

(0.26589)

(0.15098)

(0.48947)

 

(-0.50036)

(0.22138)

(-0.60114)

(1.06180)

(-0.54853)

 
 
 
 
 
 

LCONS(-1)

3.188688

1.247296

0.039658

0.887472

1.547912

 

(1.43578)

(1.94570)

(0.57478)

(0.32637)

(1.05808)

 

(2.22088)

(0.64105)

(0.06900)

(2.71921)

(1.46294)

 
 
 
 
 
 

LCONS(-2)

-4.653193

0.296322

1.607146

0.062645

-0.758469

 

(2.30862)

(3.12853)

(0.92420)

(0.52478)

(1.70131)

 

(-2.01558)

(0.09472)

(1.73896)

(0.11937)

(-0.44582)

 
 
 
 
 
 

LCONS(-3)

2.693801

0.700174

-1.382048

-0.348192

0.093905

 

(2.40267)

(3.25599)

(0.96185)

(0.54616)

(1.77062)

 

(1.12117)

(0.21504)

(-1.43686)

(-0.63753)

(0.05303)

 
 
 
 
 
 

LCONS(-4)

-0.298093

0.418181

0.545769

0.145026

0.294286

 

(1.33842)

(1.81377)

(0.53581)

(0.30424)

(0.98634)

 

(-0.22272)

(0.23056)

(1.01859)

(0.47668)

(0.29836)

 
 
 
 
 
 

LPRP(-1)

0.573966

-0.079010

-0.210639

0.043197

0.902372

 

(0.44493)

(0.60295)

(0.17812)

(0.10114)

(0.32789)

 

(1.29000)

(-0.13104)

(-1.18257)

(0.42711)

(2.75207)

 
 
 
 
 
 

LPRP(-2)

0.192267

-0.323267

0.341200

0.052700

-0.194420

 

(0.62844)

(0.85163)

(0.25158)

(0.14285)

(0.46312)

 

(0.30594)

(-0.37959)

(1.35623)

(0.36891)

(-0.41981)

 
 
 
 
 
 

LPRP(-3)

0.302981

-0.691553

-0.167577

0.016095

0.158251

 

(0.72023)

(0.97602)

(0.28833)

(0.16372)

(0.53076)

 

(0.42067)

(-0.70854)

(-0.58121)

(0.09831)

(0.29816)

 
 
 
 
 
 

LPRP(-4)

-0.159187

0.304551

0.260099

-0.008189

0.209983

 

(0.40673)

(0.55118)

(0.16282)

(0.09245)

(0.29973)

 

(-0.39138)

(0.55254)

(1.59742)

(-0.08858)

(0.70056)

 
 
 
 
 
 

C

5.598849

-4.751686

0.856996

0.838139

2.253647

 

(3.46637)

(4.69746)

(1.38768)

(0.78795)

(2.55450)

 

(1.61519)

(-1.01154)

(0.61757)

(1.06369)

(0.88223)

R-squared

0.847344

0.879766

0.967549

0.988648

0.896895

Adj. R-squared

0.508108

0.612579

0.895436

0.963421

0.667774

Sum sq. resids

0.172065

0.315987

0.027575

0.008891

0.093445

S.E. equation

0.138269

0.187376

0.055353

0.031430

0.101896

F-statistic

2.497799

3.292700

13.41705

39.18994

3.914493

Log likelihood

34.84806

25.73061

62.31225

79.29084

44.00557

Akaike AIC

-0.923204

-0.315374

-2.754150

-3.886056

-1.533705

Schwarz SC

0.057634

0.665464

-1.773312

-2.905218

-0.552866

Mean dependent

4.230377

8.580462

4.349803

4.354332

4.197379

S.D. dependent

0.197147

0.301038

0.171178

0.164336

0.176782

Determinant Residual Covariance

6.82E-15

 
 
 

Log Likelihood

276.4339

 
 
 

Akaike Information Criteria

-11.42893

 
 
 

Schwarz Criteria

-6.524736

 
 
 

Conclusion : p=1.

4 et 5- Test de cointégration et Identification du nombre de relation

Démarches préliminaires pour le choix du type d'estimation :

Conclusion : les variables présentent des tendances et des constantes

Estimation

Date: 04/19/06 Time: 21:08

Sample: 1970 2003

Included observations: 32

Test assumption: Linear deterministic trend in the data

 
 
 
 
 

Series: LPRC LNSUB LCONS LPRO LPRP

Lags interval: 1 to 1

 

Likelihood

5 Percent

1 Percent

Hypothesized

 

Eigenvalue

Ratio

Critical Value

Critical Value

No. of CE(s)

 

0.611985

85.14212

68.52

76.07

None **

0.530836

54.84738

47.21

54.46

At most 1 **

0.395104

30.62966

29.68

35.65

At most 2 *

0.343720

14.54330

15.41

20.04

At most 3

0.032762

1.065957

3.76

6.65

At most 4

*(**) denotes rejection of the hypothesis at 5%(1%) significance level

 
 
 
 
 

L.R. test indicates 3 cointegrating equation(s) at 5% significance level

 
 
 
 
 
 
 
 
 
 
 

Unnormalized Cointegrating Coefficients:

LPRC

LNSUB

LCONS

LPRO

LPRP

 

-0.945457

0.321664

2.447826

-3.948896

0.885794

 

-1.516209

0.587783

-3.439992

1.888552

0.622787

 

-0.765169

1.473529

-3.287545

0.822495

0.262914

 

-0.514963

-0.371339

-1.444340

1.713768

1.238298

 

-0.128405

-0.106953

1.615928

-0.247785

-0.311950

 
 
 
 
 
 
 

Normalized Cointegrating Coefficients: 1 Cointegrating Equation(s)

 
 
 
 
 

LPRC

LNSUB

LCONS

LPRO

LPRP

C

1.000000

-0.340221

-2.589041

4.176708

-0.936895

-4.290731

 

(0.19966)

(1.42312)

(1.47951)

(0.18836)

 
 
 
 
 
 
 

Log likelihood

200.7397

 
 
 
 
 
 
 
 
 
 

Normalized Cointegrating Coefficients: 2 Cointegrating Equation(s)

 
 
 
 
 

LPRC

LNSUB

LCONS

LPRO

LPRP

C

1.000000

0.000000

-37.42325

43.05829

-4.709709

-9.056512

 
 

(193.217)

(218.834)

(20.5612)

 

0.000000

1.000000

-102.3871

114.2834

-11.08932

-14.00792

 
 

(519.847)

(588.769)

(55.3197)

 
 
 
 
 
 
 

Log likelihood

212.8486

 
 
 
 
 
 
 
 
 
 

Normalized Cointegrating Coefficients: 3 Cointegrating Equation(s)

 
 
 
 
 

LPRC

LNSUB

LCONS

LPRO

LPRP

C

1.000000

0.000000

0.000000

0.700911

-0.619779

-4.663857

 
 
 

(0.19598)

(0.16195)

 

0.000000

1.000000

0.000000

-1.603080

0.100418

-1.989950

 
 
 

(0.32894)

(0.27181)

 

0.000000

0.000000

1.000000

-1.131846

0.109288

0.117378

 
 
 

(0.05883)

(0.04861)

 
 
 
 
 
 
 

Log likelihood

220.8917

 
 
 
 
 
 
 
 
 
 

Normalized Cointegrating Coefficients: 4 Cointegrating Equation(s)

 
 
 
 
 

LPRC

LNSUB

LCONS

LPRO

LPRP

C

1.000000

0.000000

0.000000

0.000000

4.407756

-22.46227

 
 
 
 

(14.2290)

 

0.000000

1.000000

0.000000

0.000000

-11.39825

38.71748

 
 
 
 

(29.9442)

 

0.000000

0.000000

1.000000

0.000000

-8.009287

28.85866

 
 
 
 

(21.7943)

 

0.000000

0.000000

0.000000

1.000000

-7.172860

25.39327

 
 
 
 

(19.3764)

 
 
 
 
 
 
 

Log likelihood

227.6304

 
 
 
 

6- Estimation par le MV du MVCE

Une seule relation de cointégration

Date: 04/19/06 Time: 20:47

Sample(adjusted): 1972 2003

Included observations: 32 after adjusting endpoints

Standard errors & t-statistics in parentheses

Cointegrating Eq:

CointEq1

 
 
 
 

LPRC(-1)

1.000000

 
 
 
 
 
 
 
 
 
 

LNSUB(-1)

-0.340221

 
 
 
 
 

(0.19966)

 
 
 
 
 

(-1.70402)

 
 
 
 
 
 
 
 
 
 

LCONS(-1)

-2.589041

 
 
 
 
 

(1.42312)

 
 
 
 
 

(-1.81927)

 
 
 
 
 
 
 
 
 
 

LPRO(-1)

4.176708

 
 
 
 
 

(1.47951)

 
 
 
 
 

(2.82303)

 
 
 
 
 
 
 
 
 
 

LPRP(-1)

-0.936895

 
 
 
 
 

(0.18836)

 
 
 
 
 

(-4.97407)

 
 
 
 
 
 
 
 
 
 

C

-4.290731

 
 
 
 

Error Correction:

D(LPRC)

D(LNSUB)

D(LCONS)

D(LPRO)

D(LPRP)

CointEq1

-0.408546

-0.049574

-0.022115

-0.121356

0.000784

 

(0.19035)

(0.16979)

(0.02553)

(0.05467)

(0.08981)

 

(-2.14633)

(-0.29197)

(-0.86612)

(-2.21988)

(0.00873)

 
 
 
 
 
 

D(LPRC(-1))

-0.316397

0.301299

-0.087310

0.379427

0.210096

 

(0.18775)

(0.16748)

(0.02518)

(0.05392)

(0.08859)

 

(-1.68519)

(1.79904)

(-3.46676)

(7.03654)

(2.37164)

 
 
 
 
 
 

D(LNSUB(-1))

0.118426

-0.259614

-0.024495

-0.244631

0.040542

 

(0.24860)

(0.22175)

(0.03335)

(0.07140)

(0.11729)

 

(0.47638)

(-1.17074)

(-0.73457)

(-3.42636)

(0.34565)

 
 
 
 
 
 

D(LCONS(-1))

1.195784

0.800612

0.014164

-0.548300

0.663415

 

(1.30534)

(1.16439)

(0.17510)

(0.37489)

(0.61590)

 

(0.91607)

(0.68758)

(0.08089)

(-1.46255)

(1.07715)

 
 
 
 
 
 

D(LPRO(-1))

-0.087055

0.237999

0.085543

0.428219

-0.045992

 

(0.62141)

(0.55431)

(0.08336)

(0.17847)

(0.29320)

 

(-0.14009)

(0.42936)

(1.02623)

(2.39938)

(-0.15686)

 
 
 
 
 
 

D(LPRP(-1))

-0.022968

-0.083023

-0.014327

-0.206414

0.345722

 

(0.38538)

(0.34376)

(0.05169)

(0.11068)

(0.18183)

 

(-0.05960)

(-0.24151)

(-0.27714)

(-1.86495)

(1.90132)

 
 
 
 
 
 

C

0.001501

0.028548

0.017616

0.022661

-0.005370

 

(0.04367)

(0.03895)

(0.00586)

(0.01254)

(0.02060)

 

(0.03437)

(0.73288)

(3.00730)

(1.80680)

(-0.26061)

R-squared

0.338084

0.203830

0.445777

0.717695

0.375007

Adj. R-squared

0.179224

0.012749

0.312763

0.649942

0.225008

Sum sq. resids

1.013322

0.806295

0.018233

0.083583

0.225589

S.E. equation

0.201328

0.179588

0.027006

0.057821

0.094992

F-statistic

2.128192

1.066723

3.351364

10.59279

2.500072

Log likelihood

9.834004

13.49063

74.11802

49.75638

33.87040

Akaike AIC

-0.177125

-0.405664

-4.194877

-2.672274

-1.679400

Schwarz SC

0.143504

-0.085034

-3.874247

-2.351644

-1.358770

Mean dependent

0.019029

0.039240

0.016097

0.013868

0.015572

S.D. dependent

0.222224

0.180744

0.032577

0.097728

0.107905

Determinant Residual Covariance

2.45E-12

 
 
 

Log Likelihood

200.7397

 
 
 

Akaike Information Criteria

-10.04623

 
 
 

Schwarz Criteria

-8.214061

 
 
 

Représentation

Estimation Proc:

===============================

EC 1 1 LPRC LNSUB LCONS LPRO LPRP @ C

VAR Model:

===============================

D(LPRC) = A(1,1)*(B(1,1)*LPRC(-1) + B(1,2)*LNSUB(-1) + B(1,3)*LCONS(-1) + B(1,4)*LPRO(-1) + B(1,5)*LPRP(-1) + B(1,6)) + C(1,1)*D(LPRC(-1)) + C(1,2)*D(LNSUB(-1)) + C(1,3)*D(LCONS(-1)) + C(1,4)*D(LPRO(-1)) + C(1,5)*D(LPRP(-1)) + C(1,6)

D(LNSUB) = A(2,1)*(B(1,1)*LPRC(-1) + B(1,2)*LNSUB(-1) + B(1,3)*LCONS(-1) + B(1,4)*LPRO(-1) + B(1,5)*LPRP(-1) + B(1,6)) + C(2,1)*D(LPRC(-1)) + C(2,2)*D(LNSUB(-1)) + C(2,3)*D(LCONS(-1)) + C(2,4)*D(LPRO(-1)) + C(2,5)*D(LPRP(-1)) + C(2,6)

D(LCONS) = A(3,1)*(B(1,1)*LPRC(-1) + B(1,2)*LNSUB(-1) + B(1,3)*LCONS(-1) + B(1,4)*LPRO(-1) + B(1,5)*LPRP(-1) + B(1,6)) + C(3,1)*D(LPRC(-1)) + C(3,2)*D(LNSUB(-1)) + C(3,3)*D(LCONS(-1)) + C(3,4)*D(LPRO(-1)) + C(3,5)*D(LPRP(-1)) + C(3,6)

D(LPRO) = A(4,1)*(B(1,1)*LPRC(-1) + B(1,2)*LNSUB(-1) + B(1,3)*LCONS(-1) + B(1,4)*LPRO(-1) + B(1,5)*LPRP(-1) + B(1,6)) + C(4,1)*D(LPRC(-1)) + C(4,2)*D(LNSUB(-1)) + C(4,3)*D(LCONS(-1)) + C(4,4)*D(LPRO(-1)) + C(4,5)*D(LPRP(-1)) + C(4,6)

D(LPRP) = A(5,1)*(B(1,1)*LPRC(-1) + B(1,2)*LNSUB(-1) + B(1,3)*LCONS(-1) + B(1,4)*LPRO(-1) + B(1,5)*LPRP(-1) + B(1,6)) + C(5,1)*D(LPRC(-1)) + C(5,2)*D(LNSUB(-1)) + C(5,3)*D(LCONS(-1)) + C(5,4)*D(LPRO(-1)) + C(5,5)*D(LPRP(-1)) + C(5,6)

VAR Model - Substituted Coefficients:

===============================

D(LPRC) = - 0.4085463551*( LPRC(-1) - 0.3402205817*LNSUB(-1) - 2.589040839*LCONS(-1) + 4.176707946*LPRO(-1) - 0.9368954394*LPRP(-1) - 4.290730878 ) - 0.3163970841*D(LPRC(-1)) + 0.1184264556*D(LNSUB(-1)) + 1.195783779*D(LCONS(-1)) - 0.08705458523*D(LPRO(-1)) - 0.02296766631*D(LPRP(-1)) + 0.001500734796

D(LNSUB) = - 0.04957379141*( LPRC(-1) - 0.3402205817*LNSUB(-1) - 2.589040839*LCONS(-1) + 4.176707946*LPRO(-1) - 0.9368954394*LPRP(-1) - 4.290730878 ) + 0.301299125*D(LPRC(-1)) - 0.2596136987*D(LNSUB(-1)) + 0.8006116274*D(LCONS(-1)) + 0.2379992104*D(LPRO(-1)) - 0.08302317248*D(LPRP(-1)) + 0.02854829442

D(LCONS) = - 0.02211463955*( LPRC(-1) - 0.3402205817*LNSUB(-1) - 2.589040839*LCONS(-1) + 4.176707946*LPRO(-1) - 0.9368954394*LPRP(-1) - 4.290730878 ) - 0.0873100742*D(LPRC(-1)) - 0.02449539672*D(LNSUB(-1)) + 0.01416385047*D(LCONS(-1)) + 0.08554264835*D(LPRO(-1)) - 0.01432669387*D(LPRP(-1)) + 0.01761599735

D(LPRO) = - 0.1213556337*( LPRC(-1) - 0.3402205817*LNSUB(-1) - 2.589040839*LCONS(-1) + 4.176707946*LPRO(-1) - 0.9368954394*LPRP(-1) - 4.290730878 ) + 0.3794270341*D(LPRC(-1)) - 0.2446314623*D(LNSUB(-1)) - 0.5482998201*D(LCONS(-1)) + 0.428219454*D(LPRO(-1)) - 0.2064141313*D(LPRP(-1)) + 0.02266051657

D(LPRP) = 0.000783830909*( LPRC(-1) - 0.3402205817*LNSUB(-1) - 2.589040839*LCONS(-1) + 4.176707946*LPRO(-1) - 0.9368954394*LPRP(-1) - 4.290730878 ) + 0.2100964483*D(LPRC(-1)) + 0.04054244061*D(LNSUB(-1)) + 0.6634154436*D(LCONS(-1)) - 0.04599184447*D(LPRO(-1)) + 0.3457220482*D(LPRP(-1)) - 0.005369653458

Test de résidus

Fonctions de réponses impulsionnelles.

Décompositions :

Variance Decomposition of LPRC:

 
 
 
 
 
 

Period

S.E.

LPRC

LNSUB

LCONS

LPRO

LPRP

1

0.177950

100.0000

0.000000

0.000000

0.000000

0.000000

2

0.224737

92.76315

0.042907

0.999760

4.614941

1.579239

3

0.250415

81.64260

1.541987

1.922280

7.687241

7.205891

4

0.279786

78.01703

2.556988

2.665882

6.681592

10.07851

5

0.312732

78.98321

2.305599

3.113555

5.626746

9.970885

6

0.338014

78.45788

2.128654

3.385928

5.722191

10.30535

7

0.359041

76.68254

2.264889

3.607509

6.055721

11.38934

8

0.380362

75.66115

2.429385

3.813191

5.921598

12.17467

9

0.401919

75.49406

2.421548

3.974179

5.688267

12.42194

10

0.421696

75.24749

2.386898

4.093908

5.637912

12.63379

Variance Decomposition of LNSUB:

 
 
 
 
 
 

Period

S.E.

LPRC

LNSUB

LCONS

LPRO

LPRP

1

0.158735

1.727629

98.27237

0.000000

0.000000

0.000000

2

0.211557

9.389397

89.45837

1.133594

0.000221

0.018419

3

0.249446

7.309824

90.40773

1.662055

0.508587

0.111809

4

0.286149

5.704806

91.39929

1.829460

0.615525

0.450921

5

0.318708

5.322459

91.59296

2.015113

0.513564

0.555902

6

0.346523

5.359920

91.45440

2.175593

0.460590

0.549492

7

0.372013

5.094383

91.58242

2.265670

0.482608

0.574915

8

0.396723

4.775078

91.77324

2.323489

0.493404

0.634787

9

0.420109

4.613206

91.86129

2.381447

0.473461

0.670592

10

0.441875

4.545254

91.88159

2.433958

0.457278

0.681925

Variance Decomposition of LCONS:

 
 
 
 
 
 

Period

S.E.

LPRC

LNSUB

LCONS

LPRO

LPRP

1

0.023870

1.220395

2.175287

96.60432

0.000000

0.000000

2

0.038378

19.32826

0.892465

79.76153

0.000652

0.017094

3

0.046280

21.25906

0.614073

77.73385

0.361234

0.031782

4

0.052034

19.46435

0.538843

79.23361

0.549189

0.214012

5

0.057577

19.47363

0.475963

79.31863

0.463928

0.267847

6

0.062942

20.38253

0.398314

78.58309

0.398431

0.237633

7

0.067730

20.48185

0.344025

78.54152

0.408756

0.223850

8

0.072080

20.21356

0.309885

78.80697

0.427827

0.241757

9

0.076222

20.19296

0.284794

78.85738

0.411439

0.253424

10

0.080211

20.34288

0.259059

78.75606

0.392540

0.249458

Variance Decomposition of LPRO:

 
 
 
 
 
 

Period

S.E.

LPRC

LNSUB

LCONS

LPRO

LPRP

1

0.051107

37.44247

17.99844

9.310427

35.24866

0.000000

2

0.060785

29.44052

16.35456

9.025741

43.74565

1.433534

3

0.064338

33.24483

15.32760

9.753118

39.04924

2.625215

4

0.078964

43.27088

11.66073

8.390601

25.93073

10.74706

5

0.087501

40.74812

10.80146

9.396841

24.10128

14.95229

6

0.091811

37.85349

9.850822

11.01503

25.20354

16.07712

7

0.095812

37.53976

9.050009

11.99559

24.06529

17.34935

8

0.101722

38.47024

8.260245

12.22775

21.90811

19.13365

9

0.107136

38.08169

7.757711

12.62038

20.88908

20.65113

10

0.111343

37.22760

7.301368

13.22719

20.63755

21.60629

Variance Decomposition of LPRP:

 
 
 
 
 
 

Period

S.E.

LPRC

LNSUB

LCONS

LPRO

LPRP

1

0.083962

5.190848

2.631411

0.648278

4.129500

87.39996

2

0.152715

20.91790

1.275266

0.338137

3.258430

74.21027

3

0.205261

19.92680

0.953353

0.873190

2.220944

76.02571

4

0.249917

16.89389

0.687501

1.222509

1.742035

79.45407

5

0.290051

15.82977

0.533596

1.443802

1.691697

80.50113

6

0.325633

15.82930

0.476776

1.600689

1.704477

80.38875

7

0.357278

15.62293

0.450008

1.699759

1.631533

80.59577

8

0.386469

15.22558

0.413819

1.765444

1.558848

81.03630

9

0.413902

14.98052

0.381863

1.819542

1.532055

81.28602

10

0.439633

14.89579

0.362796

1.864895

1.523117

81.35340

Ordering: LPRC LNSUB LCONS LPRO LPRP

 
 
 
 
 
 

ANNEXE 2 :Approche mathématique et graphique de l'étude de Goreux(2003a)

P= prix mondial du coton défini par l'indice A21(*) exprimé en cents par livre

Si = subvention accordée par le gouvernement du pays i en cents par livre

Qi = quantité de coton produit par le pays i en milliers de tonnes

QJ = quantité de coton produite sans subvention par le pays j en milliers de tonnes

Q = quantité de coton produite dans l'ensemble du monde en milliers de tonnes

E0 = coefficient d'élasticité de l'offre ( positif)

Ed = coefficient d'élasticité de la demande (négatif)

Ln = Logarithme

i = Indice caractérisant les pays à subventions Etats-Unis, Chine, UE (Grèce et Espagne)

j = Indice caractérisant les pays sans subventions : reste du monde

* 21 L'indice A de cotlook est un indicateur sans précédent du marché mondial des prix du coton

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