I was wondering how to analyze the results from a sporting clay outing.
Part 1: I?ve recently started shooting sporting clays. This is where you have two shells in your shotgun and shoot at two clay pigeons thrown simultaneously. You move from station to station, each station having a different flight pattern for the two clays; straight up, side-to-side, incoming, outgoing, etc. I have been hitting about 40% of the targets presented.
Part2: The other day, they had a special ?buddy shoot? where you are paired up with a shooting partner, each with two shells per gun, but at each station they throw three clays; given four shots for three clays, you have 1.333 shots at each target instead of the usual one shot per target. Our team shot 34% of the targets presented.
Question: Assuming that my 40% accuracy rate carries over from the regular game to the partnered game, what accuracy rate can I infer for my partner at the regular game given our combined score of 34%?
The simple approach is to set (40% + X) / 2 = 34% and solve for X, the partner?s implied accuracy at the regular game, giving the partner a rate of 28%. Seems too easy; maybe Bayes? Theorem should be used here?