We have shown that the false positive rate (i.e., type I error rate) is correct under the extended univariate moderation model, but only if the covariance between M and T is free of moderation by M. We now address the false negative rate, i.e., the type II error, of the extended univariate moderation model compared to the full bivariate model. In a fourth and fifth simulation study, we investigate whether the false negative rate of the extended univariate moderation model is comparable to the false negative rate of the bivariate moderation model when the covariance between M and T is not subject to moderation (Simulation study 4) or when this covariance is subject to moderation as well (Simulation study 5).
