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. 2025 Nov 7;25:3856. doi: 10.1186/s12889-025-25128-3

Table 7.

Results of causal mechanism analysis and sensitivity analysis

Parents’ mental health Mother’s mental health
Causal mechanism analysis Sensitivity analysis Causal mechanism analysis Sensitivity analysis
Estimate Inline graphic Inline graphic Inline graphic Inline graphic Estimate Inline graphic Inline graphic Inline graphic Inline graphic
Household income
ADE −0.7830 −0.2 0.04 0.3949 0.1320 −1.7660** −0.2 0.04 0.3907 0.1214
ACME −0.6000*** −0.9570***
Total effect −1.3820** −2.7320***
Proportion of ACME (%) 43.4 35.2
Household healthcare expenditure
ADE −1.4054** −2.3903**
ACME 0.0230 −0.0068
Total effect −1.3825** −2.3970***
Proportion of ACME (%) / /
Emotional support
ADE −1.3870 −0.25 0.0625 0.0272 0.1453 −2.3609* −0.3 0.09 0.0479 0.1545
ACME −0.3500*** −0.6252***
Total effect −1.7380* −2.9862**
Proportion of ACME (%) 20.2% 20.9%
Economic support
ADE −1.4185** −2.4325***
ACME −0.0062 −0.0307
Total effect −1.4247** −2.4632***
Proportion of ACME (%) / /

* p < 0.1, ** p < 0.05, *** p < 0.01; ACME is the average causal mediation effect, ADE is the average direct effect, and total effect = ADE + ACME;Inline graphicis the value when ACEM = 0;Inline graphicandInline graphicrepresent the proportions of residual variance in the mediation model and outcome model as explained solely by unobserved confounders, respectively;Inline graphicis the value when ACEM = 0;Inline graphicandInline graphicrepresent the coefficients of determination of the mediation model and the outcome model, respectively