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Utilizing Baron and Kenny's (1986) method a moderation model was tested to determine if pervasive anger moderated the relationship between a history of childhood abuse and committing a violent sex crime.
Fortunately, most published papers in which the univariate moderation model was used concern moderation effects of family-level moderators such as SES, parental educational attainment level, or the age of the twins, i.e., variables that are by definition equal in both twins.
Since all conditions were met, we concluded that the proposed mediated moderation model was supported.
The moderation model was analyzed using the SPSS regression module with a forced block-wise entry procedure.
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.
The fourth and last condition of the mediated moderation model was met as the effect of the gender * ethnic status interaction was substantially reduced after controlling for school hassles (β = -.06, p =.29, see Step 3b).
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The results for both the extended univariate moderation model and the full bivariate moderation model are described in Table 3, and depicted as PP-plots in Fig. 4 for the extended univariate moderation model.
We conducted Simulation study 2 to investigate whether the false positive rate of this extended univariate moderation model is correct, and comparable to the false positive rate of the full bivariate moderation model.
Overall, we conclude that researchers should use the full bivariate moderation model to study the presence of moderation on the covariance between M and T. If such moderation can be ruled out, subsequent use of the extended univariate moderation model is recommended as this model is more powerful than the full bivariate moderation model.
Given the results of Simulation study 3, which showed that the extended moderation model picks up the moderation on the cross paths as if it is moderation on the unique paths, we conclude that the power of the extended univariate moderation model is too high, or at least that the location of the moderation that is detected, is uncertain.
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).
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