Batter than Average - UPDATED

One of my biggest issues with the H2H format is the so-called "Dallas Braden Effect," where your actual performance each week is not really important except as far as your single opponent's performance goes.  Rotisserie scoring takes care of this, but the problem is that after a certain amount of time, things will probably become pretty separated and the league will no longer be great to follow.  Moreover, being able to push the reset button at the end of the week is quite liberating; you need only worry about Trevor Hoffman's 6 earned run week for 7 days and then its gone like Keyser Soze.  I have thought about how things would look in a week-to-week roto league, and those results are interesting (and coming in the future), but not what I am looking at today.
No, today, we will examine what happens when your opponent for the week is the average of all of the other players.  This type of scoring is interesting because it actually changes the value of each metric; a home run a nice for you, but it also increases the average of homers, so it only has 90% value.  Conversely, when you hit a homer, you help yourself with that 90%, but also end up hurting not only your opponent, but all of them!  I can imagine how all over the country, people would be groaning when one of the numbers reached the critical threshold to turn over.  How sad would you all have been when my Dason Bay hit those two dingalings last night?

UPDATE - Something about the string of 0s and 1s was deeply unsettling to me, so as I was running, I decided that for anything to show up on this type of analysis, one week wouldn't be enough of a sample size.  Thus, I went back and applied this meathead to the entire seasons stats and the results were a bit more satisfying.



The most striking parts of this analysis is the overinflated record of Woo Woo and the underinflated record of Omar.  I have spoken previously about Omar and his horrible luck, but I thought that Woo Woo would have performed closer to his actual record than he did.  Also, I was surprised that Bernabe and Andrus could be any worse than their real record are, but alas and alak!
One of the things that I noticed about this analysis is that, unlike the real records, where each win must come at the price of a loss from another team, with the averages, you can have more wins than losses if there are a few bad apples who drag down the entire average.  In our league total, for example, we have a total record of 411-429 against the mean, which means that the mean was actually artificially inflated by a few awesome performances, and that there were more instances where we performed below the mean than above.
Once again, though, I feel like this would add a delicious twist to the overall scoring.  When you are ahead on homers, hitting another few and finishing 11-5 in that category doesn't really help you and, in fact, probably hurts you if you believe in the gambler's fallacy, which I think is more apt in baseball than other sports.  However, if this were the scoring system that we used, each of those additional dingalings would help to put your opponents farther and farther behind you by raising the overall average against which all teams are measured.