Measured genotype analysis (MGA) was performed using the SOLAR program [25]. All phenotypes were transformed by inverse normalization to meet assumptions of normality. We obtained residuals using linear regression models adjusted for age, sex, their interaction and higher order terms. Because energy expenditure is strongly influenced by body weight across the age range of 4 to 19 years of age, total energy expenditure and sleeping energy expenditure were additionally adjusted for body weight. Also, observed energy intakes consumed in a snack and dinner were adjusted for total energy expenditure or estimated energy requirement, again to compensate for the wide range of ages in our cohort.