Fig. 1

Edge posterior probabilities calculated from five different MCMC chains. The probabilities are compared to each other when the proposal distribution is the usual one-step version. Numbers in the upper-left and lower-right cornersindicate the amount of overlapping dots, and in the titles, “i vs. j” denotes that edge posterior probabilities calculated from chain i are on the x-axis and those from chain j are on the y-axis. For visualization, a small amount of noise is added to the dots to better separate them from each other. The total number of dots (i.e., possible edges) is N ²=11²=121