We estimated a network via the Ising model procedure. The network contains 11 variables, and therefore 55 pairwise associations (these are called edges).
We estimated this network in 6 different samples, leading to six networks.
Our question is now whether a given edge, for instance the edge between variable 1 and 2 (one of the 55 pairwise associations in each network), varies substantially across the six networks.
For each edge, we have 6 values (the edge weight of this edge in each network), and we can compute a variance over these 6 values. We now want to test whether this variance is substantial (i.e. significant from zero).
We can also derive confidence intervals around each edge, if that is helpful. So for the edge between variable 1 and 2, we could have the values (first: edge weight; then confidence interval):
network 1: 4 (CI 3-5) network 2: 5 (CI 4-6) network 3: 2 (CI 1-3) network 4: 3 (CI 2-4) network 5: 4 (CI 3-5) network 6: 5 (CI 4-6)
How do we test whether the variance of this particular edge is significantly different from 0? (or, if that is not possible, "substantial" [I know this is open to interpretation]).