Table 3 Those effects of nutrition that have highest variations between the studied subjects.

From: Mixed-effect Bayesian network reveals personal effects of nutrition

Nutrient or feature

Concentration

Inter-subject

Personal effect (\(\hat{\beta }_{ij} + \hat{b}_{ijk}\))

Variation (\(\hat{\sigma }_{b_{ij}}\))

Min.

Max.

Energy

Insulin

4.29 [2.16; 6.37]

0.12 [− 4.00; 4.43]

1.12 [− 3.00; 6.09]

Gender (1-female)

Insulin

3.93 [3.26; 4.60]

− 1.03 [− 4.82; 1.64]

0.19 [− 2.59; 5.56]

Chol. medication

Insulin

1.46 [0.21; 3.02]

− 1.29 [− 7.50; 3.70]

8.63 [2.18; 15.94]

Pufa

Insulin

1.35 [0.39; 2.22]

− 1.12 [− 3.47; 0.29]

− 0.40 [− 1.81; 1.59]

EPA-fatty acid

Insulin

1.11 [0.58; 1.63]

0.23 [− 1.06; 1.61]

1.72 [− 0.14; 4.80]

Mufa

Insulin

0.97 [0.19; 1.79]

− 0.96 [− 3.83; 1.29]

2.27 [− 0.51; 6.01]

DHA-fatty acid

Insulin

0.92 [0.27; 1.59]

− 0.62 [− 2.28; 0.72]

− 0.10 [− 1.47; 1.90]

Sucrose

Insulin

0.85 [0.14; 1.64]

− 0.28 [− 1.83; 0.63]

0.12 [− 0.75; 1.82]

Safa

Insulin

0.83 [0.14; 1.69]

− 1.46 [− 4.22; 0.48]

0.30 [− 2.09; 4.13]

Protein

Insulin

0.78 [0.11; 1.62]

− 0.97 [− 2.93; 0.42]

− 0.40 [− 1.88; 2.06]

Alcohol

Insulin

0.75 [0.16; 1.39]

− 0.17 [− 1.49; 0.89]

0.11 [− 0.98; 1.48]

Linoleic acid

Insulin

0.71 [0.13; 1.39]

0.18 [− 2.84; 4.95]

0.91 [− 1.81; 5.68]

Fat

Insulin

0.63 [0.11; 1.28]

0.70 [− 2.75; 4.28]

1.73 [− 1.37; 6.26]

Gender (1-female)

Total chol.

0.59 [0.47; 0.72]

− 0.70 [− 1.98; 0.24]

0.82 [0.01; 1.94]

Folic acid

Insulin

0.57 [0.09; 1.18]

− 0.66 [− 2.22; 0.27]

− 0.22 [− 1.15; 1.60]

Gender (1-female)

LDL-chol.

0.53 [0.44; 0.63]

− 0.67 [− 1.63; − 0.02]

0.36 [− 0.27; 1.36]

Fibre

Insulin

0.52 [0.08; 1.06]

− 0.24 [− 1.37; 0.70]

0.00 [− 0.91; 1.23]

Chol. medication

Total chol.

0.48 [0.16; 0.78]

− 1.39 [− 2.50; − 0.83]

− 0.71 [− 1.32; 0.50]

Lignin

Insulin

0.48 [0.08; 0.99]

− 0.40 [− 2.75; 0.85]

0.68 [− 0.43; 2.48]

Vitamin C

Insulin

0.44 [0.07; 0.90]

− 0.76 [− 2.67; 0.65]

2.43 [0.43; 4.82]

Cholesterol

Insulin

0.44 [0.06; 0.88]

0.27 [− 0.75; 1.13]

0.39 [− 0.47; 1.48]

Alpha lipoic acid

Insulin

0.43 [0.09; 0.83]

− 1.69 [− 6.65; 1.19]

− 0.86 [− 5.63; 1.98]

Cellulose

Insulin

0.41 [0.07; 0.84]

− 0.12 [− 1.76; 0.96]

0.23 [− 0.94; 1.86]

Vitamin D

Insulin

0.39 [0.06; 0.80]

− 0.04 [− 2.16; 1.02]

0.52 [− 0.32; 1.97]

Chol. medication

LDL-chol.

0.36 [0.11; 0.60]

− 1.08 [− 1.77; − 0.70]

− 0.81 [− 1.23; 0.12]

Energy

Total chol.

0.36 [0.07; 0.66]

− 0.18 [− 3.76; 3.27]

− 0.07 [− 3.67; 3.36]

Carb.hydr.

Insulin

0.35 [0.05; 0.74]

− 0.29 [− 3.11; 1.96]

1.00 [− 1.44; 4.29]

Gender (1-female)

Glucose

0.30 [0.24; 0.36]

− 0.10 [− 0.48; 0.12]

0.00 [− 0.22; 0.38]

Gender (1-female)

HDL-chol.

0.24 [0.20; 0.29]

0.09 [− 0.29; 0.34]

0.53 [0.21; 0.96]

Energy

Glucose

0.23 [0.05; 0.41]

− 0.06 [− 3.32; 3.20]

0.06 [− 3.17; 3.35]

Energy

LDL-chol.

0.23 [0.04; 0.47]

− 0.20 [− 3.53; 3.03]

− 0.12 [− 3.45; 3.10]

Chol. medication

HDL-chol.

0.18 [0.07; 0.29]

− 0.19 [− 0.54; 0.02]

0.08 [− 0.17; 0.49]

Energy

HDL-chol.

0.17 [0.04; 0.30]

− 0.29 [− 3.63; 2.77]

− 0.24 [− 3.60; 2.77]

Cellulose

LDL-chol.

0.14 [0.06; 0.21]

− 0.03 [− 0.17; 0.08]

0.00 [− 0.11; 0.15]

Cellulose

Total chol.

0.13 [0.03; 0.22]

− 0.02 [− 0.17; 0.12]

0.00 [− 0.13; 0.16]

Sucrose

Glucose

0.12 [0.04; 0.20]

− 0.06 [− 0.27; 0.05]

− 0.01 [− 0.11; 0.17]

Chol. medication

Glucose

0.12 [0.02; 0.24]

0.04 [− 0.52; 0.36]

0.39 [0.06; 0.96]

Sucrose

Total chol.

0.12 [0.02; 0.22]

− 0.01 [− 0.29; 0.13]

0.06 [− 0.05; 0.22]

  1. These 38 (of all 110) effects from nutrients and other modeled features \((j = 1,\dots ,22)\) to blood concentrations \((i = 1,\dots ,5)\) had the highest variations between the studied subjects (k = 1,...,106). The estimated standard deviation (\(\hat{\sigma }_{b_{ij}}\)) of personal effects varies from 4.29 to 0.02, and this table is sorted to include the most varying effects with the standard deviation over 0.10. The table also shows the minimum and maximum of the personally adjusted effects \((\hat{\beta }_{ij} + \hat{b}_{ijk})\) with 90%-credible interval.