Visualizing balance in the simplest way possible

Yeah, that is why I changed the assumption, to make that explicit. As you said, people don’t even flourish their skill before actually choosing their race.

That’s a case of positive selection pressure where players are incentivized to pick a race, and that can’t exist because a player picks their race and practices it long before their full skill is realized. Race switching is extremely difficult due to the immense amount of time to get to that level. But, there could still be bias due to negative pressure which causes players to leave a race after they have played it a lot or stop playing. A pro player that feels he is disadvantaged might retire rather than having to re-learn the game under a new race.

Regardless, if such a scenario existed it should be evident in the distributions of the mirror elo. If players of a certain skill bracket are leaving Terran then TvT would look lopsided compared to PvP and ZvZ.

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  1. Establish that symmetrical matchups have similar skill distributions.
  2. Show that actual asymmetrical performance of a matchup differs from symmetrical performance on a large scale.
  3. Since the only thing altered between the groups is the symmetry of the matchup, and a performance difference is observed between the groups, then symmetry affects performance.

It’s that simple.

They can’t even figure out elo inflation in chess lol.

That is, again, the fallacy of relative rankings vs absolute rankings.

Meanwhile, my aunt didn’t get her mastectomy because it was deemed an elective surgery and the cancer metastasized!

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You just don’t understand the math very well. I’ll get some charts to you in a couple days that helps you understand it better. It’s easy enough to do simulations where we know the populations’ parameters and we can tweak them to match the real results. It’s basically an MLE which solves for which set of population parameters is most likely to produce the observed effect. I create simulations and models for a living so it’s just a matter of finding the time to do it.

What we are seeing is that vs Zerg is consistently distributed across all populations while vs P and vs T is skewed depending on race. So if the simulation has all three races with roughly the same skill distribution and zerg is at a disadvantage in both ZvT and ZvP it would produce exactly that effect. But it can go through basically every possibility and spit out which one is right.

Emergent behaviors in complex systems can be quite complicated in theory only, so with a simulation you can see what set of underlying parameters produce a result and accept it regardless of the ability to understand the complex behavior.

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First he say different matchup cannot compare because they are different. But then if study compare different drugs to see which is better for disease he would also say they cannot compare too. But those compares are made all the time. And with great success. So he reject the math of statistic. So what he say is absurd. And total nonsense. Now he say simply balance cannot be measured. Which is another reject of statistics! The only difference is he has given up in arguments…

Bro, you looked at rankedFTW, saw that Zerg had more MMR than any other race, with zero additional information, other than that they picked Zerg, and concluded that Zerg was the hardest race, and somehow the other two are easy.

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Bronze league player is bronze because of skill… not balance…

Most of them, for sure. But 15%? 20%? Maybe they’d be Silver. And maybe some of the Silvers would be Gold… and so on and so forth.

Player who understand game least is player least affected by balance. Balance does not affect low rank player.

Least affected by balance, but most affected by difficulty.

That is why most low skill player prefer terran. It is easier. If terran were hardest the players pick zerg but the reverse happen.

You are a meme on some statistics communities.

Pretty much the most lame excuse ever. “Zergs all achieve more because it’s harder.”

I am not surprised by what you say. You have lost debate over and over. Batz argued too strong. But you cannot accept. So you cherry pick quote. And share it to friend to feel better. But that does not help you win argument. Or make the things you say right!

What did you find? I am curious if batz is right. But do not trust other poster. Who is biased against batz and say he is wrong no matter what!

Why does player stay terran if it is harder? You speak much nonsense…

80% winrate in TvT. 34% winrate in TvZ. According to this post zerg is incredibly, incredibly overpowered. My MMR should be so much higher than what it is, im losing to lower skill zerg at an alarming rate.

Nerf zerg! Thanks.