The results of these simulations are presented in Table 5. In 5 out of 9 scenarios, the power of the extended univariate moderation model was significantly higher than the power of the full bivariate moderation model. Note that we can indeed speak of higher power because we know from the results of Simulation study 2 that the false positive rate of neither models is inflated. The lower power of the full bivariate moderation model is probably due to the variance being decomposed into as many as 15 parameters, compared to the 6 of the extended univariate moderation model: misfit resulting from fixing one of the moderation parameters to zero can more easily be absorbed by the remaining 14 parameters.
