One of the comments in the discussion of high accuracy .22 handguns pointed out that the accuracy of the gun is not the only factor, and often is not the main one.
That comment is very correct.
From the standpoint of both shooters, and weapons designers, to a "first approximation" or good rough estimate, accuracy is the "linear" or simple addition of error in each of these factors:
intrinsic accuracy of the gun,
accuracy of the shooter at the specific time the gun is shot,
consistency and accuracy of the ammunition,
effects of environment (wind, air density, for really long distances Coriolis force)
and the like.
For a better numerical estimate, replace "linear" or sijple addition by square root of the sum of the variances.
The result of this, however, is that each source of error adds together, one on top of the other, as if each one were relatively independent.
The result is that a really inaccurate gun, inconsistent ammunition, high and variable wind, or a really poor shooter can wipe out the gains from improvement in any one of the other factors, or all of them. Conversely, an improvement in any of these factors (the gun, the ammunition, the shooter) still is limited in how much it can improve the overall score or outcome, depending on how bad the other factors might be.
There is one exception, the shooter who can outshoot the gun and ammunition.
This is extremely rare, but there have been true expert marksmen whos shooting was far better than should ever have been possible with the gun and ammunition being used. Annie Oakley was one of these people. Her average accuracy was far better than the average consistence of the ammunition of her day, and far better than what tests of the guns of her era ever produced. This also was true from the beginning of her career as a child. Her accuracy with an old junk rifle was far better than should have been possible with that rifle, or from most anyone else's guns.
I'm still trying to understand the mathematics and method, of how she did this. The movies of her doing this don't give a clue.
That comment is very correct.
From the standpoint of both shooters, and weapons designers, to a "first approximation" or good rough estimate, accuracy is the "linear" or simple addition of error in each of these factors:
intrinsic accuracy of the gun,
accuracy of the shooter at the specific time the gun is shot,
consistency and accuracy of the ammunition,
effects of environment (wind, air density, for really long distances Coriolis force)
and the like.
For a better numerical estimate, replace "linear" or sijple addition by square root of the sum of the variances.
The result of this, however, is that each source of error adds together, one on top of the other, as if each one were relatively independent.
The result is that a really inaccurate gun, inconsistent ammunition, high and variable wind, or a really poor shooter can wipe out the gains from improvement in any one of the other factors, or all of them. Conversely, an improvement in any of these factors (the gun, the ammunition, the shooter) still is limited in how much it can improve the overall score or outcome, depending on how bad the other factors might be.
There is one exception, the shooter who can outshoot the gun and ammunition.
This is extremely rare, but there have been true expert marksmen whos shooting was far better than should ever have been possible with the gun and ammunition being used. Annie Oakley was one of these people. Her average accuracy was far better than the average consistence of the ammunition of her day, and far better than what tests of the guns of her era ever produced. This also was true from the beginning of her career as a child. Her accuracy with an old junk rifle was far better than should have been possible with that rifle, or from most anyone else's guns.
I'm still trying to understand the mathematics and method, of how she did this. The movies of her doing this don't give a clue.