I have a consistent data about a decision making problem where I need to decide whether I choose A or B to compete, the winner is the one with larger number per round. If I remove one point, A beats B each time. But the sample is so small that removing a data point makes the data much smaller.
The goal of this competion is to maximize the result with low standard deviation. So I have here a non-dominating situation because player B has the largest record 86 while A has the smallest SD (about 150% while B 250%).
If I make a conclusion based on smaller sample, I feel a mistake -- how can I say this statistically? How much less significant will a conclusion be if I use smaller sample?
R stands for round.
R A B 1 85 86 2 83 83 3 83 82 4 83 82 5 83 81 6 81 80 7 80 78
The player I choose have to compete in the same game again against other players. I want to maximize the future rounds. Look B has a rising trend while A has historically more stable results. Will do some analysis soon.