(A) All participants; (B) female participants; (C) male participants. Having mild SDB or MS-SDB was significantly associated with the prevalence of diabetes among FHD(+) participants overall, females, and FHD(−) participants overall; however, Pinteraction (FHD × SDB severity) was significant only in females. Analyses were adjusted for age, sex (only A), body mass index, waist circumference, alcohol consumption (ethanol = 0 g/d, 0 g/d < ethanol ≤ 25 g/d, and ethanol >25 g/d), pack-years of smoking, sleep duration categories, activity count, hypertension, and menopause (only B). Diabetes was considered according to HbA1c ≥6.5% and/or current medication for diabetes. SDB was classified by 3% oxygen desaturation index modified by sleep duration from actigraphy as follows: no SDB [SDB (-)], <5 events/h; mild SDB, 5 to <15 events/h; MS-SDB, ≥15 events/h. FHD = family history of diabetes; HbA1c = glycated hemoglobin; SDB = sleep-disordered breathing; MS = moderate to severe.