For each of these 9 settings (rt,m runs via A, C or E, and moderation is present on either A, C, or E) we simulated 2000 datasets and analyzed these using either the full bivariate moderation model (estimating moderation parameters on the cross paths as well as on the paths unique to T) or the extended univariate moderation model (estimating moderation on the variance components of the residual T″). We then tested whether the moderation parameter of interest (either β a, or β c, or β e) was significant given α = .05.
