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Granger-causality tests

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Tools (Continued)<br />

F – <strong>tests</strong> (F distribution)<br />

• Used in analysis of variance to test the Null hypothesis that 2<br />

components estimate the same variance against the alternative<br />

that the numerator estimates a greater variance, the latter<br />

indicating a high “F-value”.<br />

• May also be used to test the acceptability that 2 samples are from<br />

normal distributions with the same variance<br />

• i.e. the ratio of explained variance vs. unexplained variance, OR<br />

between group variability vs. within group variability<br />

Variance ratio<br />

• The ratio of 2 estimates of variance with degrees<br />

of freedom f 1<br />

and f 2<br />

.<br />

• If they both estimate the same variance the ratio will<br />

have a F-distribution with said degrees of freedom.

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