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. 2020 Sep 25;12(10):2944. doi: 10.3390/nu12102944

Table 4.

Results of linear mixed-effects models for determinants of the log α-tocopherol/total cholesterol ratio a,b.

Model 2 (n = 399) Model 3 (n = 399) Model 4 (n = 289) Model 5 (n = 226)
CE [95% CI] CE [95% CI] CE [95% CI] CE [95% CI]
Intercept 1.8 × 10+0 *** [1.8 × 10+0, 1.8 × 10+0] 1.8 × 10+0 *** [1.8 × 10+0, 1.8 × 10+0] 1.8 × 10+0 *** [1.8 × 10+0, 1.8 × 10+0] 1.8 × 10+0 *** [1.8 × 10+0, 1.9 × 10+0]
Age (years) 9.9 × 10−3 *** [8.4 × 10−3, 1.1 × 10−2] 1.0 × 10−2 *** [8.3 × 10−3, 1.2 × 10−2] 9.9 × 10−3 *** [8.3 × 10−3, 1.1 × 10−2] 1.1 × 10−2 *** [9.5 × 10−3, 1.3 × 10−2]
Age2 (years) −1.2 × 10−4 [−2.7 × 10−4, 3.8 × 10−5] −1.1 × 10−4 [−2.6 × 10−4, 5.3 × 10−5] −1.4 × 10−4 [−3.0 × 10−4, 2.3 × 10−5] −1.6 × 10−4 [−3.2 × 10−4, 9.7 × 10−6]
Male sex −4.3 × 10−3 [−4.9 × 10−2, 4.1 × 10−2] −3.1 × 10−3 [−4.8 × 10−2, 4.2 × 10−2] 3.1 × 10−3 [−4.1 × 10−2, 4.8 × 10−2] −2.2 × 10−2 [−7.6 × 10−2, 3.3 × 10−2]
FM (kg) 2.1 × 10−3 [3.2 × 10−4, 3.8 × 10−3] 2.5 × 10−3 [4.8 × 10−4, 4.6 × 10−3] 9.3 × 10−4 [−9.1 × 10−4, 2.8 × 10−3] 1.1 × 10−3 [−1.1 × 10−3, 3.2 × 10−3]
Current/past smoking 6.8 × 10−3 [−3.3 × 10−2, 4.7 × 10−2] 8.0 × 10−3 [−3.2 × 10−2, 4.8 × 10−2] −6.9 × 10−3 [−4.7 × 10−2, 3.3 × 10−2] 1.0 × 10−2 [−3.8 × 10−2, 5.9 × 10−2]
PAI 1.9 × 10−2 [−3.9 × 10−2, 7.7 × 10−2] 1.9 × 10−2 [−3.9 × 10−2, 7.8 × 10−2] 4.9 × 10−3 [−5.7 × 10−2, 6.7 × 10−2] 6.9 × 10−2 [2.5 × 10−3, 1.4 × 10−1]
TOC intake (mg/d) 2.1 × 10−3 [1.1 × 10−4, 4.2 × 10−3] 3.3 × 10−3 [8.5 × 10−4, 5.8 × 10−3] 2.0 × 10−4 [−1.9 × 10−3, 2.4 × 10−3] 2.3 × 10−3 [−2.4 × 10−5, 4.6 × 10−3]
TOC intake2 (mg/d) −3.7 × 10−5 [−1.8 × 10−4, 1.1 × 10−4] −2.5 × 10−5 [−1.8 × 10−4, 1.3 × 10−4] 8.8 × 10−6 [−1.4 × 10−4, 1.6 × 10−4] −7.7 × 10−5 [−2.5 × 10−4, 9.6 × 10−5]
Use of supplements c 1.2 × 10−1 *** [1.0 × 10−1, 1.4 × 10−1] 1.2 × 10−1 *** [1.0 × 10−1, 1.4 × 10−1] 1.1 × 10−1 *** [8.6 × 10−2, 1.3 × 10−1]
Use of lipid-modifying drugs 7.5 × 10−2 *** [5.3 × 10−2, 9.9 × 10−2] 7.6 × 10−2 *** [5.3 × 10−2, 9.9 × 10−2] 9.9 × 10−2 *** [7.4 × 10−2, 1.2 × 10−1] 7.8 × 10−2 *** [5.2 × 10−2, 1.0 × 10−1]
Plasma vitamin C (µmol/L) 1.3 × 10−3 *** [8.4 × 10−4, 1.8 × 10−3] 1.3 × 10−3 *** [7.0 × 10−4, 1.9 × 10−3] 1.4 × 10−3 *** [8.9 × 10−4, 2.0 × 10−3] 1.6 × 10−3 *** [1.0 × 10−3, 2.2 × 10−3]
Disease diagnosis d 3.1 × 10−2 [−6.9 × 10−3, 6.9 × 10−2] 3.0 × 10−2 [−7.3 × 10−3, 6.8 × 10−2] −3.6 × 10−3 [−4.1 × 10−2, 3.4 × 10−2] 2.6 × 10−2 [−2.1 × 10−2, 7.3 × 10−2]
I (male sex:age) −7.0 × 10−4 [−3.9 × 10−3, 2.5 × 10−3]
I (male sex:FM) −1.7 × 10−3 [−5.7 × 10−3, 2.3 × 10−3]
I (male sex:TOC intake) −1.6 × 10−3 [−5.3 × 10−3, 2.2 × 10−3]
I (age:TOC intake) −2.4 × 10−5 [−2.3 × 10−4, 1.8 × 10−4]
I (smoking:TOC intake) −1.7 × 10−3 [−5.2 × 10−3, 1.8 × 10−3]
I (male sex:plasma vitamin C) 2.1 × 10−4 [−8.4 × 10−4, 1.3 × 10−3]
I (age:plasma vitamin C) −1.5 × 10−5 [−7.9 × 10−5, 4.9 × 10−5]
R2, marginal/conditional 0.158/0.622 0.159/0.622 0.146/0.627 0.186/0.631

CE, coefficient estimate; 95% CI, 95% confidence interval; FM, fat mass; PAI, physical activity index; TOC, α-tocopherol equivalents; I (a:b) denotes the interaction effect for a and b. a Linear mixed-effects models including the log α-tocopherol/total cholesterol ratio as dependent variable, random effects of age and subject and centered metric independent variables. Model 2 considered as fixed effects: linear and quadratic age, sex, FM, smoking behavior, PAI, linear and quadratic dietary intake of α-tocopherol equivalents, use of supplements, use of lipid-modifying drugs, plasma vitamin C and disease diagnosis. Model 3 is based on model 2 and included interaction effects as additional fixed effects. Model 4 is based on model 2 but excluded records, in which the use of vitamin E and/or multivitamin supplements was reported. Model 5 is based on model 2 but only subjects with complete data records on at least seven visits were considered. Data are presented as coefficient estimates and 95% confidence intervals; b p values after adjusting for multiple testing: *** p < 0.001; c This variable comprised the use of vitamin E and/or multivitamin supplements; d This variable combined the information on reported diagnoses of gall bladder/pancreas/chronic liver/inflammatory bowel disease and dyslipidemia.

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