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. 2021 Feb 5;28(22):28624–28639. doi: 10.1007/s11356-021-12668-5

Table 7.

Dumitrescu and Hurlin’s (2012) Granger non-causality test

COVID-19 confirmed cases as the dependent variable
Null hypothesis W-bar Z-bar P values
AP≠>CC 3.4586 5.4976 0.0000
CC≠>AP 5.6580 10.4156 0.0000
H≠>CC 2.6860 3.7700 0.0000
CC≠>H 2.6555 3.7018 0.0002
PM2.5≠>CC 2.0112 2.2612 0.0237
CC≠>PM2.5 3.5575 5.7187 0.0000
T≠>CC 8.9583 17.7952 0.0000
CC≠>T 3.2382 5.0047 0.0000
WS≠>CC 2.3788 3.0830 0.0020
CC≠>WS 3.5769 5.7620 0.0000
COVID-19 death cases as the dependent variable
Null hypothesis W-bar Z-bar P values
CC≠>CD 21.9771 46.9062 0.0000
CD≠>CC 12.7131 26.1914 0.0000
AP≠>CD 2.7003 3.8019 0.0001
CD≠>AP 4.9130 8.7498 0.0000
H≠>CD 2.2025 2.6888 0.0072
CD≠>H 1.9797 2.1908 0.0285
PM2.5≠>CD 1.2451 0.5480 0.5837
CD≠>PM2.5 3.5997 5.8130 0.0000
T≠>CD 9.4679 18.9347 0.0000
CD≠>T 4.0616 6.8459 0.0000
WS≠>CD 0.4930 −1.1337 0.2569
CD≠>WS 1.6253 1.3981 0.1621

Source: authors’ computation

The symbol ≠> represents “does not homogeneously cause”