While that link is a good theoretical estimate and a great starting point. Life is rarely that simple... this is no exception. Was really hoping Graywolf would continue to expand on this, hence my earlier question, so I could avoid going down the rabbit hole. Since he didn't and now a link doubling down has been introduced let's actually take a peek at the rabbit hole without going too far down...
Let us start with the formula provided on here "R x (T-P)/P"..
1.) We did not establish that we need the absolute value of "(T-P)" as the error can never be less than zero. For example 100 yard parallax with a 25 yard target would give us (-75)... That is impossible as there is no way to be more prefect than zero error. Thus we need the absolute value of "(T-P)" which for this example would be 75.
2) The formula as it sits ignores magnification. This is great if we aren't using magnification. If we are using a magnified optic the equation changes.
3) The formula assumes zero offset of your eyeball from center of the scope. If your eye is off any amount we also need to change the formula
4) R is equal to the radius of the objective in the above formula, however it is really equal to the 0.5 x EP(exit pupil). Not an important distinction in our basic formula as exit pupil is equal to objective diameter, but of increasing importance as we continue to add other variables.
I'll stop there for now as there are entire papers dedicated to the subject if one is really so inclined to go down this particular rabbit hole.