The statistical model of RE2C
Two dimensional representation of SFE and SHet.
RE2 statistic can be decomposed into SFE and SHet whose null distributions are known, given an observed RE2 statistic, its p-value can be interpreted as an integral over a region in the two-dimentional space. Specifically, in the figure above, the RE2 p-value is the volume of the region excluding the bottome left triangle (i.e. region A + B). However, in RE2C, we only consider the region where PRE2 ≤ PFE.
Power of Lin-Sullivan(FE,LS), Decoupling-RE2(DR2), and our new RE2C method for meta-analyzing correlated statistics.
Assuming statistics are correlated with correlation coefficient ρ, we simulated various effect size distribution with differing amount of heterogeneity. We considered the scenario that DR2 or RE2C is additionally applied to LS while accounting for multiple testing. DR2 and RE2C power is shown as two-color stacked bars, where we colored the proportion that LS was significant in light grey and the proportion that DR2/RE2C additionally identified as significant in dark grey.