forgot to respond to this... but plz remember to let me know, I feel it will get completely buried wherever it is posted.
I feel I didnt explain my point enough though and I still want to know how your approach would deal with this.
I think that MK is too good, but not good enough that he is bannable. We have seen it countless times before, the best MK's get beaten by all sorts of characters, sometimes multiple times over many meetings. This is totally independent to his dominance however which is undeniable and reason to be banned. This is simply because they best players will more often than not, use metaknight. If someone out there has serious determination to win and has the skill/practice to back it up, why would they use anyone but MK? Sure theres the 'MK mains wont know my characters matchup properly' argument but that only goes so far.
Whether MK was technically 1% more viable than snake overall, or 100% more viable, he is always going to attract the best players. So now we have two issues, MK has an increased dominance in a feedback-loop scenario where the best players use him, so the next best players will follow suit in order to beat the best players. Then there is MK's natural strengths which will artificially inflate MK mains placings in tournaments, simply because he is the best character and this would happen to anyone.
The point is, how far beyond the next best character, is MK? You will never know by looking at his dominance alone. Because that reason applies to the best character in ANY game. What options do we have to analyse how good MK is, if it is impossible to remove those two influences on his dominance? How can one do this in an unbiased tournament situation, the instant you attempt to measure this by introducing additional constraints, you have biased it already and people will argue this all day, and fairly too.
Hence my overall standpoint on this, whether MK is truly broken or not is irrelevant. Trying to prove this beyond reasonable doubt... I dont see that as being possible. By all means, show us your work but I wll be highly skeptical, the same I was with John#'s data even though I fully approve a ban, Ill say right here that his data proves nothing, its an opinion with biased numbers attached to it. What does matter, is what the actual players of the game want. If you dont listen to the community, you have absolutely no right to dictate rules in a self-appointed position of authority.
So its that simple. To me, both sides have nothing but biased opinions and data which can easily be manipulated to give the results you want (I know all about these tricks). What separates them, is what the actual players want. If the vast majority all come to the conclusion that MK is harming the scene and detrimental to it in all aspects, then you must accept it. If anti-banners in a position of authority deny that on the basis of them being 'wrong' without any data to back it up which is utterly impossible for them to provide which cant be countered with equally skewed 'data', then they should have no say on the matter.
Yeah, I'm still dealing with some of these interesting interactions. The best we can do is to try and look at each factor individually, and if possible show interactions.
The three things I'm going to look at are frequency of appearance in the top 8, frequency of usage in the top 1000 players, and repeat player appearance.
Frequency in the top 8 - This gets at the "dominance" issue. If MK appears in the top 8 more than everyone else, and on top of that his results average higher than everyone else's, then he could be considered "dominant". Given this is frequency data and not ranking data, this will allow for a more robust analysis technique.
Frequency of usage in the top 1000 players - This gets at the "over-centralization" issue. Granted, the previous point can address this too. Anyways, we've already got an idea of who gets used more than who, but there are statistical metrics utilized in research that can determine if the jump in usage is considered "significant". This gets a bit difficult to utilize though, since some assumptions must be made.
In standard frequency analysis, you assume all choices are perfectly equal and go from there. In ANY fighting game, balanced or not, this will turn up a significant result. Even if MK were involved in a countering triangle (similar to Fox>Marth>Sheik>Fox in Melee), comparing him to Ganon as if they were to be used equally would turn up a significant result.
To fix this, you can apply what can be estimated to be a "standard" for this type of ranking distribution. So we'd say maybe there's a linear relationship between tier list position and popularity. You may even go as far as using an exponential curve, but great care must be taken if doing that. I believe the popularity in smash IS an exponential curve, which means one could be fit to our data. If you fit the curve to the data and THEN compare the frequency data, nothing will come out as significant. So it's real dicey, to say the least. I may just present multiple formats for people to make their own assessments.
Repeat Player Appearance - This is the most important part to me. Smash attracts a younger player base than other fighting games and that has a significant effect on attendance because of economic concerns. But let me put forth a completely unreasonable hypothetical situation. Say I, in my "project zero" efforts, become the best Zero Suit the wooooorld has ever seen! And win Apex. Oh I wish, right? Winning my first national. :-D. Do you think my chances of attending another national goes up or down? I'd say up. Way up!
So to me, this says there's a kind of win-barrier. When you start placing or winning at big enough events, it facilitates your attendance for future events. So there may be a lot to be said about people who are able to attend large events multiple times. They could be the ones capable of breaking the "win-barrier". I may be able to look at those who have attended X number of events and subsequently look at their character distribution. It could prove to be insightful.
That said...
Estimated Time of Completion - I was bold in saying "four days" before. It turns out, I want a lot more data than I thought. Like... an entire year's worth. Of SWF AND AiB. So now I'm not sure when this will be done. It's a lot of data mining, to be honest. I will, however keep you in mind when publishing the results. Though it couldn't hurt to friend me here or on AiB (I'm also "Tuen" there) to make sure I remember :-p.
Thanks for your interest in my work!