Message Detail
Board: ARCHIVE - SpC2k5 to SC2k6
Topic: SC2k7 Oracle Challenge Discussion Topic
From: Haste_2 Posted: 8/27/2007 6:47:02 PM
Okay, now the next method... um.... I just realized I did it all wrong. If I did it right, it would take, like, every possible combination of characters... so that's not good...

Well, I'll just type this up and see how it goes...and, I'm not a math major, so... I'm afraid I can't use complex formulas or shortcuts.

51.90% - Cloud
38.79% - Mega Man
29.98% - Ryu
18.65% - Terra

First, treat the match as Cloud vs. Mega Man... so, first set Cloud arbitrarily to 40% for his predicted percentage. Mega Man, skipping the processes shown in the last message, gets 23.87%. Now, here's where it changes...

In the last message, EVERYTHING was in relation to Cloud. This time, we're attempting to calculate x-stats in relation to EVERYONE. So... measure Ryu from Cloud AND from Mega Man. Ryu's expected percentage in the four-way poll would now be...15.03% based off Mega Man, and 16.20% based off Cloud. Now, from here you find Ryu's average (weighted) percentage... and you do the weighting based off the percentage Cloud and Mega Man are expected to get; in otherwords, Ryu's expected percentage based off Cloud matters more. So, Ryu's weighted percentage is now 15.76%.

Now, there's Terra... you measure her from Ryu, Mega Man, AND Cloud. So, do the weighting stuff all over again... Terra gets an expected 8.07%. Now, Cloud = 40%, Mega Man = 23.87%, Ryu = 15.76%, and Terra = 8.07%. Do the math so it all adds up to 100%, and...

PREDICTED RESULTS SO FAR:
Cloud = 45.61%
Mega Man = 27.22%
Ryu = 17.97%
Terra = 9.20%

Note that Cloud did a little better, while the others, especially Terra, did a little worse. But WAIT... that's only ONE of the possible combinations. Let's do the same thing, but start with... Cloud vs. Ryu. Yeah, as you can see, this is pretty nightmarish and I wouldn't want to ever calculate using this method.... though there might be a shortcut with this.

Cloud = 40%
Ryu = 16.24%

With Mega Man (won't bother to show details)... 23.87% * (40/56.24) + 25.79% (16.42/56.24) = 24.51%

With Terra... blah blah blah, she ends up at 8.17%.

Predicted Results with this Combination:
Cloud - 44.98%
Mega Man - 27.56%
Ryu - 18.26%
Terra - 9.18%

Note the slight changes. Cloud is slightly below his 45.01% from method 1, and Mega Man is above his 26.86% from method 1. Interesting.

But, now that I'm thinking about it... if I keep doing the combinations... I wonder if this will all average out to the x-stats above? I noticed that Mega Man was actually inflated when measuring from Ryu... likewise Cloud from both Mega Man and Ryu. Neat. It does seem pretty reasonable when I think about it (looking at the minute changes and my 1337 math skills)... I really do think that's what would happen.

And, while this turned out to be pointless, it actually shows evidence towards my first method above. Again, if I do every possible combination, it is likely it will all just average out to that method I mentioned first. Sorry to disappoint you. >_>

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