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The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)

Table 3 Results of the ARDL cointegration and diagnostic tests

From: The relationship between financial development and income inequality in Turkey

Estimated model

INE = f(Y,INF,G,FD)

INE = f(Y,INF,G,BAD)

INE = f(Y,INF,G,SMD)

INE = f(Y,INF,G,BND)

Lag order

(2,1,2,2,1)

(2,0,2,1,2)

(1,2,2,1,2)

(1,0,2,0,0)

F-statistics

6.568**

7.706***

8.741***

7.475**

Structural breaks

2001

2001

2001

2001

Critical values

1%

5%

10%

 

Lower bound

5.856

4.154

3.430

 

Upper bound

7.578

5.540

4.624

 

Diagnostic tests

    

\(\chi^{2} NORMAL\)

0.463

[0.793]

0.590

[0.744]

0.913

[0.633]

0.438

[0.803]

\(\chi^{2} SERIAL\)

1.476

[0.263]

1.541

[0.244]

2.959

[0.155]

1.587

[0.236]

\(\chi^{2} ARCH\)

1.777

[0.196]

0.036

[0.851]

0.259

[0.615]

0.298

[0.590]

\(\chi^{2} WHITE\)

0.836

[0.636]

1.665

[0.149]

1.113

[0.448]

1.707

[0.173]

\(\chi^{2} RAMSEY\)

0.842

[0.389]

0.918

[0.371]

1.536

[0.162]

0.041

[0.967]

CUSUM

Stable

Stable

Stable

Stable

CUSUMQ

Stable

Stable

Stable

Stable

  1. ** and *** indicates statistical significance at 5 and 1% level, respectively. The numbers in brackets are p values. The critical values are obtained from Narayan (2005)