In ROI-ROI analysis, larger beta values do not always have corresponding T-statistics. Say, for a group of subjects, I have two conditions and each subject has 40 ROIs. For condition 1, I get 500 connections; for condition 2, 450 connections. Either when comparing connections in a given condition or comparing connections linking the same pair of nodes between the two conditions, values of T-statistic and beta are not always parallel. For example, a smaller beta may have a bigger T value.

Generally, t value should be the square root of R*R/ [(1-R*R)/ (n-2)], where n is the sample size. I think, under abovementioned condition, n should be a fixed number. Thus the value of beta and t should always be parallel?

Hope you can clarify this point for me, thank you very much!