You really didn't bother reading it did you. "If you notice in my post I said it would take Hundreds of game to reach the tier where you belong? This is to eliminate things like luck."
My question is what power calculations are you using to determine this? Surely since you want to mention statistics, you have thought about this.
As far as removing the variables. That is why you need to play enough games where their interaction become a mute point. It is a very simplistic bit of math needed to realize that over enough games trolls and other variables don't matter and it comes down to the 1 constant in the game You.
Again, based on what? Not to mention that one's play isn't even constant.
Just because you don't want to admit you are probably where you belong and want to reject reality doesn't mean that math lies. My statements are backed up by basic math and there is no need to create a study. You are less likely to have a troll on your team then the enemy team. This is not up for debate this is fact. You are 4/5 they are 5/5 which means you are 20% less likely to have a troll on your team.
Your math is wrong. Say 1000 people play league, 5 of which are trolls. You would have a 2% chance of getting a trolling teammate. The enemy team would then have a 2.5% chance. I don't know, I see a 0.5% difference. Who knows what the actual ratios are, but simple concept.
Not too mention this just brings up that the enemy has a higher chance of getting a diamond smurf.
Since you are 20% less likely to have a troll on your team you should be more likely to win. Which means that over enough games you will climb. Now if you can't rise with a higher chance to win it means you have reached the limit of your skill. This is a very simple thing to understand. The same applies to losing. If your falling despite having a 20% less likely chance to have a troll you are placed ABOVE your skill level and will eventually fall to where you belong.
Say said troll made you lose 100% of the time and you played what 600 games? That would mean that you would lose about 12 compared to about 15. 3 game difference out of 600 games. That is enough to make you climb lol?
Over enough games this will average out and you will be placed where you belong.
Again, no basis at all.
This post is about people who use trolls as a excuse. The bottom line is your rank is determined by yourself not by trolls. I even put in how some cannot play enough games to eliminate the variables. And how duoing can negatively affect your ranking if you only duo.
You rank is determined by 10 people every game, not by one.
Using 1 example of how you climbed to gold in under a month is not relevant because it is lacking a large enough sampling size to be accurate. This is about as informative and saying I know a guy who died in a plane crash. Does it happen? yes. Does it happen often? yes. Is flying still the safest way to travel? Yes.