The Statistics of Accuracy
A look at Blackburn Defense's video on shot dispersion in target shooting ( • Science agrees: 5-shot groups are pointless , find their website simulator here: https://blackburndefense.com/tools/di..., and what a person should expect a large shot count target to look like. I build my own simulation in Excel, which you can download here (https://github.com/techdregs/Shooting...) if you want to play around with it.
Simulation is for randomly generated X and Y position, then extracting the dispersion and distributional characteristics and plots. Also calculates probability of shots landing within certain distances, including bullseyes and Circular Error Probable (CEP).
=== Timestamps ===
00:00 Introduction
00:30 Some nitpicks with the dispersion video
01:55 Excel simulation
04:35 Deviation is not normally distributed
05:32 Are groups normally distributed?
06:30 The fancy picture (3D Histogram)
07:15 The paradox of where shots land
08:36 Resolving the paradox
12:16 Visualizing the issue
19:35 Simulation details vs normality of variables
26:00 Circular Error Probable (CEP)
29:15 Bullet Size and Bullseyes
31:19 Conclusion