Hardy-Weinberg equilibrium was tested for all of the SNPs in individuals with normal weight as controls by using HAPLOVIEW software (ref. 20). Then, minor allele frequency (MAF) was determined for each SNP and the linkage disequilibrium (LD) structure was constructed using HAPLOVIEW software. Multiple logistic regression analysis of overweight, obesity I and obesity II+III, adjusted for age and sex, was performed using PLINK v1.07 (ref. 21). The asymptotic p-values for this test were observed while the odds ratio (OR) and its standard error were estimated. Haplotype analyses of obesity were performed for the SAGE sample using the PLINK software. Descriptive statistics for age and gender were conducted with SAS statistical software, version 9.4 (SAS Institute, Cary, NC, USA).