Studies to Explain Associations between Relative Amounts of Body Fatty Acids
Relative amounts of variables, such as body fatty acids, might be positively or negatively associated. The purpose of the present work was to investigate further, how such correlations might arise. One particular feature seemed to be that distributions of the variables were crucial for obtaining either positive or negative correlations, and for their strength, suggesting the name Distribution Dependent Correlations (DDC). The present work suggests that, with three positive scale variables, two of which (A, B) having very low variability relative to a third one (R), we should expect a positive association between percent A and percent B, the slope being estimated by the B/A ratio. Furthermore, we should expect a negative relationship between %R and %A (%B), in the current context. On the other hand, if A and B have high numbers and broad ranges relative to R, then %A should relate inversely to %B. Thus, ranges of A, B, and R seem to govern associations between their relative amounts, and alterations in the ranges have appreciable effects to change the associations. We suggest that evolution might utilize DDC to regulate metabolism, as suggested to occur with body fatty acids.