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Table 18 Granger-causality test on volatility-to-quantity exchanged

From: A theory of very short-time price change: security price drivers in times of high-frequency trading

Lag

F-value

p-value

Adj. R2

Null hypothesis of NO Granger causation

Quantity  → volatility

    

1

14.83718

0.00012

0.01453

REJECT the null hypothesis at 1%

2

9.34719

0.00009

0.01871

REJECT the null hypothesis at 1%

3

7.35734

0.00006

0.01989

REJECT the null hypothesis at 1%

4

5.53375

0.02154

0.02146

REJECT the null hypothesis at 1%