rgchristensen wrote on Mar 10
th, 2014 at 8:07pm:
FRANK:
Group size isn't the best way to measure variance, better is something that considers all the shots and not just the widest two. Mean radius is better, and root-mean-square is better yet, in that it is more amenable to valid statistical comparisons.
CHRIS
RGChristensen
I disagree.(I don't think he means variance, I think he means accuracy. RMS^2 = variance.)
Group size does
not just consider the widest two shots, but is the range, and the range is frequently used to estimate standard deviation; as in Cat whisperer's imaginary x bar and r charts.
Mean radius and group size are mathematically related such that if we know one we know-or can calculate-the other.
The root mean square deviation of a set of numbers is the standard deviation of that set, and is also mathematically related to group size such that if one is known the other can be calculated.
Mean radius and s.d. are essentially the same as group size, are difficult to understand, aren't commonly used, and to my mind are a bit pretentious.