Imagine I have a network, and in this network I have n nodes of interest.
I calculated the average shortest path between these nodes.
I want to see if they are statistically significantly close to each other.
Therefore I select n nodes from the network randomly, and work out the average shortest path length. I repeat this 1000 times, so I have
my asp for my nodes of interest a vector of 1000 asps for randomly selected nodes
How can I compare the two? Just count how many times the asp of my nodes interest < randomly selected nodes?, and divide by 1000 to get a p.value?
Or should I compare the asp of the nodes of interest with the vector of 1000 random asps using e.g. t.test or wilcoxon rank sum?