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. 2020 Oct 16;56:53–63. doi: 10.1016/j.strueco.2020.10.003

Table 3.

Pedroni and Kao Results for Cointegration.

Alternative hypothesis: common AR coefficients (within-dimension)
Statistic P-Value Weithed statistic P-value
Panel v-Statistic 0.427 0.335 -1.527 0.937
Panel rho-Statistic 0.377 0.647 -0.006 0.498
Panel PP-Statistic -3.295*** 0.001 -5.146*** 0.000
Panel ADF-Statistic -3.246*** 0.001 -5.798*** 0.000
Alternative hypothesis: individual AR coefficients (between-dimension)
Statistic P-value
Panel Rho-Statistic 2.012 0.978
Panel PP-Statitic -3.874*** 0.000
Panel ADF-Statistic -3.839*** 0.000
KAO- ADF -2.116** 0.017

Of the seven tests, the panel v-statistic is a one-sided test where large positive values reject the null hypothesis of no cointegration whereas large negative values for the remaining test statistics reject the null hypothesis of no cointegration. Under the null hypothesis, all the statistics are distributed as normal. The finite sample distribution for the seven statistics has been tabulated in Pedroni (2004). ***: Rejection of the null hypothesis at the 1% significance level. Residual variance for KAO was 0.001 and HAC variance was reported as 0.000.