Figure 8—figure supplement 2.

Figure 8—figure supplement 2. Distribution of the F-statistics of the shuffled data before and after re-scaling.

Distribution of the F-statistics of the shuffled data before and after re-scaling. (A) Original distribution of the BVGC F-statistics of shuffled data, ℱ^shuffled _i→j. It has a shifted support that is larger than that of the F-distribution (red curve), meaning that if we use the original F-test based on the F-distribution as a null model, even if there are no Granger-causal links between two neurons, we will classify the link as significant. (B) For each neuron pair, (i,j) the distribution ℱ^shuffled _i→j is well-described by a constant-rescaled F-distribution. Applying an adaptive threshold on F _i→j can be simplified to applying the original threshold on the normalized, F^~ _i→j defined by dividing the naive F-statistics with the expectation value of the F-statistics generated by the shuffled data (F ^~ i→j = F _i→j /⟨F^shuffled _i→j⟩). (C) Original distribution of the MVGC ℱ^shuffled _i→j. (D) The normalized ℱ^shuffled _i→j is almost perfectly described by a constant-rescaled F-distribution.