Below are my Rankings of the HBD worlds
Theory - my personal theory is that one way to measure the quality of a wolrd is through the comepetitive balance in the world ... and the way to do that via more easily measurable indicators is through the "spread" of statistics ... as such, a league with a tight grouping of statistics across the 32 teams is "better" than a league of haves and have-not extremes
Calculation - first, I wanted to limit the amount of data pulls I had to do, so I got all my data from the team pitching stats screen ... I'm aware that hitting statistics would provide more depth to the calculation but such is life ... from the pitching screen, I pulled 3 statistics from each world
1) Wins
2) Pitching Runs Allowed
3) Unearned Runs Allowed (an attempt to measure defense from the pitching screen)
for each world, the calculation I used is the standard deviation for those 3 stats ... I pulled the stats for both the most recent completed season, and the season before that
for the total calculation, I weighted the last completed season at 2/3rds, and the season before that at 1/3rd ... obviously, if a world has not completed 2 seasons, it is not in the Rankings
I took the average of those calculations across all worlds, and each world's "score" is the amount by which they are over or under the average of all worlds ... as such, a wolrd with a score of zero is "average," and the sum of all world scores is zero
because the standard deviation of runs and is naturally higher than the standard deviation of wins, I applied some weightings so that the Score is composed about 50% by the wins calculation, 25% by the runs calculation, and 25% by the unearned runs calculation
the worlds are ranked by the 2-season weighted average, but in the list, I also did a score and rank based only on the last completed season and one only on the season before that ... the last set compares these ranks to the ranks I did a couple months ago
at the top is what "score" Major League Baseball would have in this ranking, based on 2007 and 2006 MLB stats ... note that there is no world in HBD that comes close to the competitive balance of MLB
Also, because the stats indicated that "new" worlds have inherently more balance than established worlds, I have adjusted the calculations so that worlds with 2 or 3 seasons completed are only compared to the averages of like worlds (one asterisk in the list), and the same for 4 or 5 completed seasons (two asterisks), and 6-10 completed seasons