Table 2 Cointegration tests.

From: World economies’ progress in decoupling from CO2 emissions

 

Statistic

Weighted statistic

Pedroni residual cointegration test

 Alternative hypothesis: common AR coefficients (within-dimension)

  Panel v-Statistic

1.533926

(0.0625)

 − 6.533586

(1.0000)

  Panel rho-Statistic

 − 74.19208

(0.0000)

 − 3.595931

(0.0002)

  Panel PP-Statistic

 − 66.40794

(0.0000)

 − 0.958834

(0.1688)

  Panel ADF-Statistic

 − 68.73749

(0.0000)

2.416838

(0.9922)

 Alternative hypothesis: individual AR coefficients (between-dimension)

  Group rho-Statistic

 − 2.789044

(0.0026)

 

  Group PP-Statistic

 − 2.603061

(0.0046)

 

  Group ADF-Statistic

 − 3.144187

(0.0008)

 

Kao Residual Cointegration Test

 ADF

2.586627

(0.0048)

 
 

Fisher Statistic* (from trace test)

Fisher Statistic* (from max-eigen test)

Johansen Fisher Panel Cointegration Test

 Trend assumption: No deterministic trend

  None

1708

(0.0000)

1639

(0.0000)

  At most 1

432.0

(0.0001)

432.0

(0.0001)

 Trend assumption: No deterministic trend (restricted constant)

  None

1539

(0.0000)

1525

(0.0000)

  At most 1

351.4

(0.1796)

351.4

(0.1796)

 Trend assumption: Linear deterministic trend

  None

1224

(0.0000)

1183

(0.0000)

  At most 1

493.1

(0.0000)

493.1

(0.0000)

 Trend assumption: Linear deterministic trend (restricted)

  None

1383

(0.0000)

1070

(0.0000)

  At most 1

245.0

(0.9998)

245.0

(0.9998)

 Trend assumption: Quadratic deterministic trend

  None

829.9

(0.0000)

734.5

(0.0000)

  At most 1

631.2

(0.0000)

631.2

(0.0000)

  1. For Pedroni and Kao tests the null hypothesis is no cointegration. Results of Pedroni tests are estimated with deterministic intercept and trend.
  2. *Probabilities are computed using asymptotic Chi-square distribution.
  3. Source: own elaboration.