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. 2020 Nov 16;55(5):1561–1579. doi: 10.1007/s11135-020-01074-7

Table 2.

Toda–Yamamoto Granger causality test results

Hypothesis Chi-square P-value Decision
CCI ≠  > TA 0.9795 0.8062 CCI ≠  > TA
INF ≠  > TA 1.2837 0.7330 INF ≠  > TA
IP ≠  > TA 1.1194 0.7724 IP ≠  > TA
WPU ≠  > TA 4.6828 0.1966 WPU ≠  > TA
TA ≠  > CCI 1.8593 0.6021 TA ≠  > CCI
INF ≠  > CCI 5.5084 0.1381 INF ≠  > CCI
IP ≠  > CCI 7.4467*** 0.0589 IP → CCI
WPU ≠  > CCI 0.9647 0.8098 WPU ≠  > CCI
TA ≠  > INF 1.8593*** 0.0991 TA → INF
CCI ≠  > INF 3.6699 0.2994 CCI ≠  > INF
IP ≠  > INF 4.5288 0.2097 IP ≠  > INF
WPU ≠  > INF 0.6103 0.8941 WPU ≠  > INF
TA ≠  > IP 10.5768** 0.0142 TA → IP
CCI ≠  > IP 1.3511 0.7170 CCI ≠  > IP
INF ≠  > IP 5.9801 0.1126 INF ≠  > IP
WPU ≠  > IP 0.8967 0.8262 WPU ≠  > IP
TA ≠  > WPU 3.1799 0.3647 TA ≠  > WPU
CCI ≠  > WPU 3.8657 0.2763 CCI ≠  > WPU
INFI ≠  > WPU 0.9481 0.8138 INFI ≠  > WPU
IP ≠  > WPU 0.3918 0.9419 IP ≠  > WPU

The symbols “ ≠  > and → ” denote the non-Granger causality and unidirectional Granger causality relationship for the selected variables

**,***Indicate the 0.05 and 0.10 significance level. The optimal lag is selected as 3 by using SIC