Table 2.

Comparison of multivariate regression models

	Permissive parenting				Authoritative parenting				Authoritarian parenting
	Looic	LogBF	w	w1	Looic	LogBF	w	w1	Looic	LogBF	w	w1
Model 0	3369	0	0		3354	0	0		3329	0	0
Model 1	1637	872	0.03	> 1000	1634	866	0.42	> 1000	1635	854	0.46	> 1000
Model 2	1637	49	0.03	1	1634	866	0.41	0.98	1635	854	0.47	1.02
Model 3	1630	874	0.94	31.33	1636	864	0.17	0.41	1639	850	0.08	0.17

Model 0 is the null model, model 1 is the model with parenting predicting depression through the mediating role of rumination, model 2 includes the additive role of environmental sensitivity on children’s rumination, and model 3 the interaction term between environmental sensitivity and parenting on rumination, as depicted in Fig. 1. The best fitting model for each parenting style is marked in bold. All are estimated against the null model. w₁ is model weight against the previously tested model. Models are estimated on N = 196 subjects

Looic leave-one-out cross-validation information criterion, logBF log-Bayes factor, w model weight.