whether the moderation parameter of interest (either β a, or β c, or β e) was significant given α = .05.Table 6Results Simulation study 5: false negative rates under the extended univariate moderation model and the full bivariate moderation model when the covariance between T and M is moderatedDrop β a Drop β c Drop β e % hitsnsim% hitsnsim% hitsnsimBaseline: β ac = β cc = β ec = 0 Ext univariate.292000.341996.561999 Full bivariate.252000.261999.572000 p < .01 p < .001 p = .72 β ac = .10; β cc = β ec = 0 Ext univariate.351989.171997.071998 Full bivariate.232000.032000.052000 p < .01 p < .001 p = .01 β cc = .10; β ac = β ec = 0 Ext univariate.141996.451995.071998 Full bivariate.042000.252000.052000 p < .01 p < .001 p = .03 β ec = .10; β ac = β cc = 0 Ext univariate.221996.221998.501995 Full bivariate.022000.012000.572000 p < .01 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
