Table 2. Tests for mediation of the BMI-genetic risk score (BMI-GRS) to BMI association by Emotional eating and Uncontrolled eating.

	BMI-GRS to TFEQ		TFEQ to BMI		BMI-GRS to BMI		BMI-GRS to BMI (adj. for TFEQ)		Sobel test P-val.	Mediation ratio (%)
	Effect size (95%CI)	P-val.	Effect size (95%CI)	P-val.	Effect size (95%CI)	P-val.	Effect size (95%CI)	P-val.
Emotional eating
EDEN (n=2154)	0.06 (0.01, 0.10)	0.01	1.22 (1.04, 1.39)	<1×10-10	0.62 (0.44, 0.80)	<1×10-10	0.55 (0.38, 0.72)	4×10-10	0.01	10.8%
Fenland (n=3515)	0.04 (0.01, 0.07)	0.02	1.78 (1.63, 1.94)	<1×10-10	0.70 (0.54, 0.85)	<1×10-10	0.63 (0.48, 0.78)	<1×10-10	0.02	10.0%
Uncontrolled eating
EDEN (n=2154)	0.04 (0.00, 0.09)	0.04	0.92 (0.74, 1.10)	<1×10-10	0.62 (0.44, 0.80)	<1×10-10	0.58 (0.40, 0.75)	1×10-10	0.04	6.4%
Fenland (n=3515)	0.06 (0.03, 0.09)	5×10-4	1.50 (1.35, 1.65)	<1×10-10	0.70 (0.54, 0.85)	<1×10-10	0.61 (0.46, 0.76)	<1×10-10	6×10-4	12.0%

Effect sizes and 95% confidence intervals are from least squares linear regression models. All models were adjusted for age, sex and (in EDEN) recruitment centre

The BMI-GRS and TFEQ scores were all standardised to z-scores (mean=0; SD=1)