Originally Posted by 10inchadvantage
I’m not so sure of the, “If it’s long, it must be thick” (or vice versa) crowd. People have claimed a correlation; that those with naturally long lengths will be more likely to be thicker. Is this scientifically backed at all? It seems from the data we cannot tell.
The issue at hand is one of covariance versus absolute independence, i.e. do girth and length relate to each other at all? The method by which Supersizeit treated the volume interpretation, which he pointed out was a rough approximation, would be found if girth and length had perfect covariance, e.g. for each one inch in length the girth increases by 0.75 inch. Thus, a 10”x7.5” penis would have a probability of 1 in 3.5 million. This is quick, but a bit dirty.
The other end of the issue would be one of absolute independence, i.e. girth has no relation whatsoever to length. Mathematically, we would treat this as (1/x)*(1/x), that is 1 in x multiplied by 1 in x. To use Supersizeit’s example:
(1/3,500,000) * (1/3,500,000) = 1 in 12,250,000,000,000 or one in twelve-and-a-quarter trillion.
Okay, that seems really unlikely. The truth is somewhere in the middle - girth and length tend to vary together, but not perfectly. I would hazard a guess that most guys will find that their girth and length are within one to two standard deviations of each other. Mine are within 2.12 std dev of each other. There are going to be some guys who will fall outside of this paradigm and have either a really long, skinny penis or a really short, but fat penis, but I imagine that they are, again, pretty rare.