Table 1.
Non-Supplemented | Supplemented | |||||
---|---|---|---|---|---|---|
Coefficient * ± SE | Prop | p Value | Coefficient ± SE | Prop | p Value | |
(A): Females | ||||||
LS | ||||||
P | −0.159 ± 0.171 | 0.181 | 0.362 | −0.095 ± 0.183 | 0.695 | 0.610 |
C | 0.486 ± 0.159 | 0.998 | 0.004 | 0.271 ± 0.126 | 0.019 | 0.038 |
P × P | −0.258 ± 0.198 | 0.102 | 0.203 | −0.350 ± 0.201 | 0.953 | 0.094 |
C × C | −0.374 ± 0.176 | 0.021 | 0.042 | −0.307 ± 0.144 | 0.018 | 0.039 |
P × C | −0.283 ± 0.266 | 0.853 | 0.295 | −0.661 ± 0.276 | 0.012 | 0.023 |
DRE | ||||||
P | 0.192 ± 0.165 | 0.125 | 0.250 | 0.139 ± 0.196 | 0.758 | 0.484 |
C | 0.280 ± 0.133 | 0.022 | 0.042 | 0.678 ± 0.168 | 0.001 | 0.002 |
P × P | −0.187 ± 0.083 | 0.016 | 0.031 | −0.416 ± 0.193 | 0.018 | 0.037 |
C × C | −0.145 ± 0.126 | 0.129 | 0.259 | −0.204 ± 0.194 | 0.851 | 0.298 |
P × C | 0.179 ± 0.262 | 0.751 | 0.498 | −0.260 ± 0.291 | 0.810 | 0.379 |
(B): Males | ||||||
LS | ||||||
P | 0.521 ± 0.202 | 0.994 | 0.013 | 0.511 ± 0.193 | 0.995 | 0.010 |
C | 0.961 ± 0.302 | 0.002 | 0.003 | 0.767 ± 0.227 | 0.001 | 0.002 |
P × P | −0.422 ± 0.290 | 0.912 | 0.176 | −0.137 ± 0.277 | 0.689 | 0.622 |
C × C | −0.635 ± 0.480 | 0.905 | 0.191 | −0.224 ± 0.322 | 0.245 | 0.490 |
P × C | −0.379 ± 0.468 | 0.785 | 0.430 | −0.292 ± 0.453 | 0.737 | 0.526 |
DRE | ||||||
P | −0.023 ± 0.257 | 0.536 | 0.928 | 0.170 ± 0.276 | 0.729 | 0.543 |
C | 0.086 ± 0.317 | 0.605 | 0.790 | 0.354 ± 0.149 | 0.021 | 0.043 |
P × P | −0.126 ± 0.308 | 0.659 | 0.683 | −0.201 ± 0.334 | 0.274 | 0.549 |
C × C | −0.935 ± 0.421 | 0.017 | 0.033 | −0.064 ± 0.388 | 0.565 | 0.870 |
P × C | −0.858 ± 0.676 | 0.106 | 0.212 | −0.060 ± 0.547 | 0.543 | 0.914 |
* The linear regression coefficients (i.e., P and C) describe the linear slope of the relationship between nutrient intake and the response variable, whereas the quadratic regression coefficients (i.e., P × P and C × C) describes the curvature of this relationship, with a negative coefficient indicating a convex relationship (i.e., a peak on the response surface) and a positive coefficient indicating a concave relationship (i.e., a trough on the response surface). The correlational regression coefficients (i.e., P × C) describe how the covariance between the two nutrients influences the response variable, with a negative coefficient indicating that a negative covariance between nutrients increases the response variable and a positive coefficient indicating that a positive covariance between nutrients increases the response variable. Full details of this approach are provided in Lande and Arnold [41]. “p value” is the significance value and “prop” is the proportion of times out of 10,000 that the shuffled gradient exceeds the normal gradient, for discussion please see the Methods section.