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. 2022 Sep 30;89:307–317. doi: 10.1016/j.qref.2022.09.004

Table 2.

Linear Granger Causality Tests.

Panel A: Linear Granger Causality Tests for TEU
TEU-ENG
TEU-USA
TEU-WGT
TEU-SCA
Variable F-stat Variable F-stat Variable F-stat Variable F-stat
BTC 0.972 BTC 1.179 BTC 1.216 BTC 1.402
ETH 2.550** ETH 1.981* ETH 2.073* ETH 1.838*
BNB 1.606 BNB 2.749** BNB 3.604*** BNB 2.652**
ADA 1.774* ADA 1.178 ADA 1.018 ADA 1.434
XRP 2.377** XRP 0.762 XRP 1.174 XRP 0.557
DOGE 0.326 DOGE 0.725 DOGE 0.996 DOGE 0.896
BCH 2.342** BCH 1.620 BCH 1.767* BCH 1.795*
LTC 2.158** LTC 1.361 LTC 1.369 LTC 1.278
ETC 1.104 ETC 0.875 ETC 0.807 ETC 0.881
XLM 0.964 XLM 0.977 XLM 0.916 XLM 1.071
Panel B: Linear Granger Causality Tests for TMU
TMU-ENG
TMU-USA
TMU-WGT
TMU-SCA
Variable F-stat Variable F-stat Variable F-stat Variable F-stat
BTC 0.845 BTC 0.602 BTC 0.465 BTC 0.478
ETH 0.728 ETH 0.375 ETH 0.510 ETH 0.442
BNB 2.418** BNB 1.203 BNB 1.120 BNB 1.057
ADA 1.350 ADA 0.856 ADA 0.589 ADA 0.827
XRP 0.325 XRP 0.367 XRP 0.360 XRP 0.309
DOGE 1.235 DOGE 1.229 DOGE 1.347 DOGE 1.064
BCH 0.979 BCH 0.881 BCH 0.687 BCH 0.874
LTC 0.947 LTC 0.748 LTC 0.490 LTC 0.640
ETC 0.563 ETC 0.696 ETC 0.578 ETC 0.570
XLM 1.054 XLM 0.592 XLM 0.703 XLM 0.564

Note: The null hypothesis of non-linear Granger causality can be defined as: H0:Xt is not Granger causing Yt; where under this stated null hypothesis, Yt+1 is conditionally independent of current and past values of xt, given current and past values of Yt. ***, ** and * denote significant at 1%, 5% and 10% level respectively.