. Author manuscript; available in PMC: 2022 Mar 28.

Published in final edited form as: Behav Genet. 2021 Dec 2;52(1):56–64. doi: 10.1007/s10519-021-10090-8

Table 1:

Estimates from parameters of the full heteroscedasticity model (Eqn 49) in analysis of GxE for BMI as a function of birth year in the HRS. The ξ_E and ξ_G estimates reported are obtained from the environmental and genetic heteroscedasticity models, respectively.

Gender	BMI^a	N	τ ₁	π₀ ^b	π ₁	Pr_π₁	λ₀ ^b	λ₁ ^b	λ ₂	Pr_λ₂	Pr_{ξ_E}	Pr_{ξ_G}

All	Std	11586	0.19	0.25	0.06	1.78e-11	0.93	0.12	0.09	7.49e-50	1.76e-02	7.89e-04
All	BC	11586	0.17	0.26	0.04	1.79e-05	0.95	0.06	0.02	1.15e-03	2.68e-02	5.14e-04
All	BN	11586	0.17	0.26	0.04	2.52e-05	0.95	0.06	0.02	1.14e-03	2.66e-02	6.56e-04
All	Res	11586	0.20	0.26	0.06	3.99e-12	0.93	0.11	0.09	1.01e-53	9.37e-03	5.28e-04

M	Std	5022	0.19	0.26	0.04	4.69e-04	0.93	0.12	0.09	1.63e-22	3.91e-01	2.75e-01
M	BC	5022	0.17	0.26	0.03	2.11e-02	0.95	0.07	0.03	1.33e-03	3.83e-01	1.65e-01
M	BN	5022	0.17	0.26	0.03	3.05e-02	0.95	0.06	0.03	4.84e-03	3.86e-01	1.78e-01
M	Res	5022	0.19	0.26	0.04	4.54e-04	0.93	0.11	0.08	4.70e-22	3.99e-01	2.04e-01

F	Std	6564	0.20	0.25	0.06	6.65e-09	0.93	0.12	0.09	3.51e-31	2.24e-02	1.21e-03
F	BC	6564	0.18	0.26	0.04	2.09e-04	0.94	0.06	0.02	1.11e-02	3.82e-02	1.75e-03
F	BN	6564	0.18	0.26	0.04	2.10e-04	0.94	0.06	0.02	6.43e-03	3.66e-02	1.95e-03
F	Res	6564	0.20	0.26	0.07	1.46e-09	0.92	0.12	0.09	7.91e-33	1.06e-02	8.36e-04

We consider four transformations of BMI. Std denotes the standardized mean BMI shown in the middle panel of Figure E.1. BC denotes the Box-Cox transformation [29]. BN denotes the transformation from bestNormalize [30]. Res denotes analysis of standardized variables after all (BMI, birthyear, PGS) have been residualized on 10 PCs and gender as per Frisch–Waugh–Lovell theorem given previous concerns regarding interaction research [5].

We show probabilities for parameters when the maximal probability in a column is larger than 1e − 6.