Using 1M shots was taking too long for the simulation to run.
Using 100k shots (20k groups of 5 shots), a couple of interesting observations emerged:
- Using 30% standard deviation in individual shot POI, the mean group size is 0.92 MOA and the SD in group size using 5-shot groups is 0.25 MOA. Smallest group is 0.2 MOA, largest is 2.2 MOA. When sampling group size of 5-shot groups, the data distribution looks very close to a normal distribution (as if the CLT applied here *grin*), but with a slight offset to the left (skewness of 0.39) and a slightly prolonged right tail (kurtosis of 0.20). Interestingly, when group size is defined as the mean distance between pairs of shots within the group, and the group size sampled, the data is distributed much more normally, with skewness of only 0.30 and kurtosis of 0.06.
- Using 10-shot groups (10k groups of 10 shots each), the mean group size is 1.14 MOA and SD is 0.23 MOA. Smallest group is 0.40 MOA and the largest is 2.32 MOA. The distribution of group size using 10-shot groups shows a larger shift to the left and longer right tail, with skewness of 0.41 and kurtosis of 0.27. The sampled mean distance between pairs of shots using 10-shot groups follows a normal distribution very closely, with skewness of 0.15 and kurtosis of -0.07 (the longer tail is on the left side now). This implies that the mean distance between shots in a group does seem to follow a Gaussian distribution when sample size is large enough.
