Comes from the binomial probability on where there are only two results (success p and failure q) p + q = 1. |
Oh. Essentially the confidence factor that a test result of 9 out of 10 resulted from a true odds advantage and not just random luck.
Oh. OK.
Sorry about the twenty questions, I'm actually not doubting your methods or results, I just want to understand them. It is interesting that the answer that I got from fleetsim and reality was so different. What I did was to "assume" 9 identical Terran ships each with 1/9 of the fleet total hitpoints, attack and defense. In the "balanced" case this shouldn't be a bad assumption but the points you've already made about that are most certainly valid.
I guess that there would be a real "tipping point" at the point where the BB's become the first targets. The more unbalanced the ships the bigger this effect. Above this point by the smallest possible margins, the Terrans are the overwhelming favorites, while at the smallest possible amount below this, the Iconians become the overwhelming favorites.
I would suspect that if all the terran medium ships had 1 hit point, no attack and no defense, but if for some reason were targeted first by the Iconians, then the Terrans would be the overwhelming favorites. Perhaps, what you've proved is that it's good to have "fodder" ships around and that you only should spend enough on them to ensure they are targeted first. Certainly, you should never put defense on them. This was SrGalen's point
If what you were trying to prove was that fleets of a few dreadnoughts can beat fleets of higher ship counts consisting of a distribution of sizes, then you've done that, but only as long as the AI makes the mistake of building it's smaller ships such that it's large ships are targeted first. I think that's a bad assumption, but you've seen what can come from my assumptions.