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

Table 4 ARDL cointegration test results

From: Revisiting the electricity consumption-led growth hypothesis: is the rule defied in France?

Cointegration: bound testing approach

Diagnostics

Models estimated

Optimal lag length

Structural break

F-statistics

\(\chi_{NORMAL}^{2}\)

\(\chi_{ARCH}^{2}\)

\(\chi_{RESET}^{2}\)

\(\chi_{SERIAL}^{2}\)

\(F_{\ln Y} (lnY/lnE,lnF,lnK,\ln TO)\)

2, 1, 2, 2, 1

1985

5.402***

1.0943

[1]: 0.2647

[3]: 0.1304

[2]: 0.5558

\(F_{\ln EC} (\ln EC/lnY,lnF,lnK,\ln TO)\)

2, 2, 2, 2, 2

2000

5.571**

1.5935

[1]: 0.3314

[1]: 0.9617

[3]: 1.4889

\(F_{\ln F} (lnF/lnY,\ln EC,lnK,\ln TO)\)

2, 1, 2, 2, 1

1978

5.992**

2.6725

[1]: 3.5300

[4]: 0.0931

[1]: 1.8095

\(F_{\ln K} (lnK/lnY,\ln EC,lnF,\ln TO)\)

2, 2, 2, 2, 2

1981

12.534*

0.6259

[1]: 1.2557

[1]: 0.2316

[1]: 0.3129

\(F_{\ln TR} (\ln TO/lnY,\ln EC,lnF,lnK)\)

2, 1, 2, 2, 1

1998

1.643

2.4347

[2]: 0.0206

[4]: 1.4110

[2]: 0.0872

\(F_{\ln Y} (lnY/lnEC,lnF,lnK,lnEX)\)

2, 1, 2, 2, 2

1985

6.68**

2.0518

[1]: 0.4499

[1]: 0.5662

[1]: 0.2249

\(F_{\ln EC} (\ln EC/lnY,lnF,lnK,lnEX)\)

2, 2, 1, 1, 2

2000

10.052*

0.2217

[1]: 0.0770

[2]: 0.4295

[2]: 1.7076

\(F_{\ln F} (lnF/lnY,\ln EC,lnK,lnEX)\)

2, 2, 2, 1, 2

1978

6.248**

1.6474

[1]: 0.3144

[2]: 5.6190

[1]: 2.1829

\(F_{\ln K} (lnK/lnY,\ln EC,lnF,lnEX)\)

2, 2, 2, 2, 1

1981

5.379***

0.8848

[1]: 0.3045

[2]: 0.2216

[2]: 0.9832

\(F_{\ln EX} (lnEX/lnY,\ln EC,lnF,lnK)\)

2, 1, 2, 1, 2

1987

3.551

3.4767

[1]: 0.5088

[1]: 0.2716

[1]: 0.0044

\(F_{\ln Y} (lnY/\ln EC,lnF,lnK,lnIM)\)

2, 1, 2, 1, 2,

1985

6.450**

0.6380

[1]: 0.3788

[1]: 0.6389

[1]: 3.1782

\(F_{\ln EC} (\ln EC/lnY,lnF,lnK,lnIM)\)

2, 2, 1, 1, 2

2000

5.358***

0.5558

[1]: 1.7061

[1]: 0.2985

[1]: 1.4522

\(F_{\ln F} (lnF/lnY,\ln EC,lnK,lnIM)\)

2, 1, 2, 2, 2

1978

12.145*

1.5836

[1]: 0.0720

[1]: 3.6646

[4]: 1.5827

\(F_{\ln K} (lnK/lnY,\ln EC,lnF,lnIM)\)

2, 2, 2, 2, 1

1981

5.962**

4.6148

[4]: 0.5922

[3]: 0.0044

[2]: 1.1102

\(F_{\ln IM} (lnIM/lnY,\ln EC,lnF,lnK)\)

2, 1, 2, 1, 2,

1988

0.591

0.8152

[1]: 0.3114

[1]: 0.9130

[1]: 0.1043

Significant levels

Critical values

     

Lower bounds I(0)

Upper bounds I(1)

    

1 Percent level

6.053

7.458

     

5 Percent level

4.450

5.560

     

10 Percent level

3.740

4.780

     
  1. 1%, 5%, and 10% significant p-values are, respectively, indicated by *, **, and ***. The optimal lag length is determined using the AIC. While the [] refers to the order of diagnostic tests. # denotes the critical values following Narayan (2005)