Idea to Balance Championship Divisions

[BrennanB]

Here is a question. Do stacked divisions actually matter?

Most people would agree that the threshold of "stacked divisions mattering" would be that they usually win champs because they are "stacked".

Lets look at the data. (Taken from this post on average OPR)

Year	Winner	Prechamps OPR rank
2016	Carver	        4 out of 8
2015	Newton	        4 out of 8
2014	Curie	        4 out of 4
2013	Galileo	        1 out of 4
2012	Galileo	        4 out of 4
2011	Galileo	        2 out of 4
2010	Newton	        4 out of 4
2009	Galileo	        3 out of 4
2008	Galileo	        4 out of 4
2007	Newton	        1 out of 4
2006	Archimedies	4 out of 4
2005	Newton	        4 out of 4
2004	Archimedies	1 out of 4

So for the 4 division era, the average OPR placement of the world champs is 2.91. 8 division avg is 4.

Scaled avg for 8 divisions is an average pre champs OPR rank of 5.54. So... No correlation.

What about how well "Stacked" divisions preformed at champs? (Based on avg opr)

Year	Division	Result
2016	Newton	        QF
2015	Carson	        QF
2014	Archimedes	QF
2013	Galileo	        W
2012	Archimedes	QF
2011	Curie	        F
2010	Archimedes	QF
2009	Newton	        QF
2008	Archimedes	QF
2007	Newton	        W
2006	Newton	        F
2005	Archimedes	QF
2004	Archimedes	W

Assigning 1,2,3,4 for each stage they make it through elims, you get an average round KO of 1.62 meaning on average, the most "stacked" division ended their day in quarters for Einstein.

If someone wants to do avg of the top 24 for each division so we can redo our analysis, but right now your odds don't look particularly good for this whole "division" balancing having any impact. Looks like divisions don't really need to balanced from everything I can see. luck in match schedule and creating a cohesive and competent alliance matters way more.

EDIT

In fact the top 5 most "stacked" divisions 4/5 got KOed in the first round on Einstein. That makes sense. 50% of teams get KOed first round, hence it's at best a random correlation, and too small of a sample size to actually say that the majority of stacked divisions actually perform poorly compared to average divisions.

1	2016	new	QF
2	2015	cars	QF
3	2005	arc	QF
4	2008	arc	QF
5	2013	gal	W

So yeah. No correlation.