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Efficience des dépenses publiques de santé, d'éducation et croissance économique dans l'espace UEMOA

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par Damas HOUNSOUNON
Université d'Abomey-Calavi (Bénin) - Master en économie publique 2009
  

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Annexe113

Les tests de spécification

1- Modèle pooled versus Modèle a effets spécifiques

A-) Le modèle 1 (Standard)

pFtest(mod1p,mod1w)

F test for effects

data: lpib ~ licp + tpam + tc+ ltsse + rp

F = 23.45, df1 = 19, df2 = 178, p-value = 0.0000 alternative hypothesis: significant effects

B-) Modèle 2 (Standard +ds)

> pFtest(mod2p,mod2w)

F test for effects

data: lpib ~ licp + tpam + tc + ds ltsse + rp

F = 17.4031, df1 = 28, df2 = 169, p-value < 2.2e-16 alternative hypothesis: significant effects

C-) Modèle 3 (Standard + ses)

> pFtest(mod3p,mod3w)

F test for effects

data: lpib ~ licp + tpam + tc + ltsse + ses + rp

F = 17.4031, df1 = 28, df2 = 169, p-value < 2.2e-16 alternative hypothesis: significant effects

D-) Modèle 4 (Standard + de)

> pFtest(mod4p,mod4w)

F test for effects

data: lpib ~ licp + tpam + tc + ltsse + de + rp

F = 55.9556, df1 = 35, df2 = 303, p-value < 2.2e-16 alternative hypothesis: significant effects

E-) Modèle 5 (Standard + see)

> pFtest(gd,gi)

F test for effects

data: lpib ~ licp + tpam + tc + ltsse + see + rp

F = 145.2327, df1 = 35, df2 = 304, p-value < 2.2e-16 alternative hypothesis: significant effects

2- Modèle à effets individuels versus Modèle à erreurs composées : le test de Hausman

A-) Modèle 1

---- Coefficients ----

|
|

(b)

mef

+

(B)
.

(b-B)
Difference

sqrt(diag(V_b-V_B))
S.E.

licp |

.9490702

.877766

.0713042

.002824

tpam |

-1.60e-07

-2.67e-07

1.07e-07

7.39e-09

tc |

.0538591

.0592738

-.0054148

0.000418

ltsse |

-.0093463

.0095931

-.0189394

.0014655

rp |

-.0075534

-.0121434

.0045899

0.000254

b = consistent under Ho and Ha; obtained from xtreg B = inconsistent under Ha, efficient under Ho; obtained from xtreg

Test: Ho: difference in coefficients not systematic

chi2(4) = (b-B)'[(V_b-V_B)^(-1)](b-B)

= 152.69

Prob>chi2 = 0.0000

B-) Modèle 2

---- Coefficients ----

 

|
|

(b) mef +

(B)
.

(b-B)
Difference

sqrt(diag(V_b-V_B))
S.E.

licp

|

.9466476

.8608706

.085777

.0060841

tpam

|

-1.65e-07

-2.97e-07

1.32e-07

1.14e-08

tc

|

.0530606

.0549491

-.0018885

0.087452

ltsse

|

-.0091644

.0084833

-.0176478

.0016271

ds

|

.006423

.0726509

-.066228

0.000254

rp

|

-.0082539

-.0191852

.0109313

0.002587

B = inconsistent under Ha, efficient under Ho; obtained from xtreg Test: Ho: difference in coefficients not systematic

chi2(5) = (b-B)'[(V_b-V_B)^(-1)](b-B)

= 248.67

Prob>chi2 = 0.0000

C-) Modèle 3

---- Coefficients ----

 

|
|

(b) mef +

(B)
.

(b-B)
Difference

sqrt(diag(V_b-V_B))
S.E.

licp

|

.9466476

.8608706

.085777

.0060841

tpam

|

-1.65e-07

-2.97e-07

1.32e-07

1.14e-08

tc

|

.0530606

.0549491

-.0018885

3.25e-09

ltsse

|

-.0091644

.0084833

-.0176478

.0016271

ses

|

.0385377

.4359055

-.3973678

.0254111

rp

|

-.0082539

-.0191852

.0109313

.0025897

B = inconsistent under Ha, efficient under Ho; obtained from xtreg Test: Ho: difference in coefficients not systematic

chi2(5) = (b-B)'[(V_b-V_B)^(-1)](b-B)

= 237.62

Prob>chi2 = 0.0000

D-) Modèle 4

---- Coefficients ----

 

|
|

(b) mef +

(B)
.

(b-B)
Difference

sqrt(diag(V_b-V_B))
S.E.

licp

|

.9466839

.8739101

.0727738

.003089

tpam

|

-1.63e-07

-2.72e-07

1.09e-07

7.55e-09

tc

|

.0497419

.0611568

-.0114149

.002548

ltsse

|

-.0089285

.0106613

-.0195897

.0014724

de

|

-.0226118

-.0311626

.0085508

.0002458

rp

|

-.0060969

-.0106853

.0045884

.0004258

 

b = consistent under Ho and Ha; obtained from xtreg

B = inconsistent under Ha, efficient under Ho; obtained from xtreg

Test: Ho: difference in coefficients not systematic

chi2(5) = (b-B)'[(V_b-V_B)^(-1)](b-B)

= 132.83

Prob>chi2 = 0.0000

E-) .Modèle 5

---- Coefficients ----

| (b) (B) (b-B) sqrt(diag(V_b-V_B))

 

|

mef

+

.

Difference

S.E.

licp

|

.9491165

.8767134

.0724031

.0030049

tpam

|

-1.60e-07

-2.68e-07

1.08e-07

7.63e-09

tc

|

.0537798

.0604991

-.0067193

.0058795

ltsse

|

-.0093551

.0097006

-.0190556

.0014877

see

|

-.0010576

.022558

-.0236155

.0002368

rp

|

-.0075331

-.0125552

.0050222

.0254882

b = consistent under Ho and Ha; obtained from xtreg

B = inconsistent under Ha, efficient under Ho; obtained from xtreg Test: Ho: difference in coefficients not systematic

chi2(5) = (b-B)'[(V_b-V_B)^(-1)](b-B)

= 148.41

Prob>chi2 = 0.0000

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