Table 7.

Parameters of models assessing the relationship between parental belief that ‘children should always do things to make their parents happy’ and individual network properties. Across properties, effect sizes (Cohen’s d) were calculated with strength of belief = 1 (not at all) as the reference, with adjustments for unequal sample sizes. A range of effect sizes across properties, and 95% confidence intervals (CI) are provided.

Network	Model parameter	Efficiency	Global clustering	Median Conn (in)	Median Conn (out)	Robustness	Topological stability
Belief: Children should always do things to make their parents happy
Left hemisphere
Frontoparietal control	Beta	− 0.050	− 0.051	− 0.039	− 0.034	− 0.041	− 0.041
	p-value	0.004	0.004	0.019	0034	0.011	− 0.011
	Effect size (Cohen’s d)	0.215–0.343 (95% CI 0.142–0.473)
Default mode	Beta	− 0.047	− 0.047	− 0.034	–	− 0.040	− 0.040
	p-value	0.010	0.010	0.042	–	0.018	0.018
	Effect size (Cohen’s d)	0.254–0.332 (95% CI: 0.159–0.462)
Temporoparietal	Beta	− 0.046	− 0.047	− 0.032	− 0.038	− 0.045	− 0.045
	p-value	0.008	0.008	0.044	0.023	0.008	0.008
	Effect size (Cohen’s d)	0.224–0.251 (95% CI 0.111–0.381)
Reward	Beta	− 0.032	− 0.032	–	–	− 0.032	− 0.032
	p-value	0.048	0.048	–	–	0.048	0.048
	Effect size (Cohen’s d)	0.202–0.226 (95% CI 0.101–0.356)
Right hemisphere
Dorsal attention	Beta	− 0.034	− 0.044	− 0.036	–	− 0.032	− 0.032
	p-value	0.046	0.036	0.046	–	0.046	0.046
	Effect size (Cohen’s d)	0.305–0.342 (95% CI 0.200–0.472)
Frontoparietal control	Beta	− 0.050	− 0.044	− 0.035	–	− 0.042	− 0.042
	p-value	0.008	0.011	0.034	–	0.011	0.011
	Effect size (Cohen’s d)	0.276–0.377 (95% CI 0.213–0.474)
Default mode	Beta	− 0.040	− 0.038	− 0.033	–	− 0.036	− 0.036
	p-value	0.039	0.039	0.044	–	0.039	0.039
	Effect size (Cohen’s d)	0.265–0.325 (95% CI 0.194–0.455)
Thalamus	Beta	− 0.033	–	− 0.037	− 0.036	− 0.036	− 0.037
	p-value	0.042	–	0.039	0.039	0.039	0.039
	Effect size (Cohen’s d)	0.204–0.269 (95% CI 0.110–0.399)