β ac = .10; β cc = β ec = 0 Ext univariate.181998.181999.081996 Full bivariate.032000.022000.062000 p < .001 p < .001 p < .01 β cc = .10; β ac = β ec = 0 Ext univariate.132000.131999.071999 Full bivariate.022000.022000.052000 p < .001 p < .001 p < .01 β ec = .10; β ac = β cc = 0 Ext univariate.232000.231998.081997 Full bivariate.022000.012000.042000 p < .001 p < .001 p < .001 Note: β a, β c , and β e denote the moderation parameters on the variance components unique to T; β ac, β cc, and β ec denote the moderation parameters on the cross paths between M and T (see Fig. 1). nsim denotes the number of data sets (out of 2000) for which the extended univariate moderation model and the full bivariate moderation model converged without problems. % hits denotes the percentage (of the nsim converged models) that the likelihood-ratio test was smaller than the critical value 3.84 (i.e., significant given α = .05). % hits outside the .04–.06 range should be considered incorrect (i.e., significantly too low or too high). The p-values concern p-values of the binomial test for comparing two proportions, used to test whether