None of the complicated formulas have anything to do with my test. It dealt with PERCIEVED recoil as reported by shooters who didn't know which barrell had a lengthened cone.
There was no statistical difference. If you think you gun will kick less after you lengthen the cones, you have a preconcieved notion that will affect your perception. Happens all the time.
When I ran the NC Civilian rifle team I had a shooter I was using in the National Trophy Match who had a bad day before the match. He was certain the barrel in his M14 was going bad. An All Guard Coach who was helping me showed me how to me correct the problem.
We took the gun and shooter to the repair trailer having advised the armorer what we were doing. The armorer told the shooter he'd found a big problem and had corrected it. The next day, the confident shooter shot better than he had in months and talked the rest of the trip about how his gun had been going south for weeks. The coach and I just looked at each other and grinned.