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. 2018 Mar 9;47(4):1106–1117. doi: 10.1093/ije/dyy031

Table 4.

Controlled direct effects24 within the paternal line

F1
F2
Father’s ever asthma Offspring's ever asthma with nasal allergies Offspring's ever asthma without nasal allergies
Generation OR (95% CI) RRR (95% CI) RRR (95% CI)
F0 Grandmother’s ever asthma (present vs absent) 3.08 (1.96–4.85)
Grandfather’s ever asthma (present vs absent) 2.38 (1.51–3.75)
Grandparents’ education levela (low vs high) 0.96 (0.71–1.30)
Grandmother’s smoking (vs not smoking)
 when the father was in utero 0.82 (0.47–1.44) 1.60 (0.95–2.68) 1.08 (0.55–2.13)
 during other periods (or unknown smoking period) 1.02 (0.62–1.67) 1.24 (0.81–1.91) 1.35 (0.87–2.09)
F1 Father’s age (1-year increase) 0.99 (0.96–1.02)
Father’s ever asthma (present vs absent) 2.37 (1.63–3.43) 1.70 (1.14–2.53)
Father’s education levela (low vs high) 0.47 (0.27–0.83) 0.87 (0.49–1.53)
Father’s smoking initiation (vs not smoking)
 <15 years of age 1.19 (0.74–1.90) 1.43 (1.01–2.01)
 ≥15 years of age 0.98 (0.71–1.36) 0.88 (0.70–1.11)
F2 Offspring’s gender (female vs male) 0.71 (0.59–0.84) 0.83 (0.70–0.98)
Offspring’s age (1-year increase) 1.00 (0.98–1.02) 0.96 (0.94–0.99)

Comparison of the goodness-of-fit between the present mediation model and the cluster-robust (centre = cluster variable) two-level (father = level 2 unit) multinomial regression model (outcome: offspring’s ever asthma with or without nasal allergies; covariates: grandmother’s smoking, father’s ever asthma, education level and smoking initiation, offspring’s gender and age): P-value (Satorra-Bentler scaled chi-square test for nested models27 with 8 degrees of freedom) <0.0001.  aThe estimates for the ‘unknown’ category are not shown.