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[PL] October Imbalance - Page 2

Forum Index > BW General
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jalstar
Profile Blog Joined September 2009
United States8198 Posts
October 26 2009 04:56 GMT
#21
T1 vs T2
T1 vs P2
T1 vs Z2
P1 vs T2
P1 vs P2
P1 vs Z2
Z1 vs T2
Z1 vs P2
Z1 vs Z2
Wilko
Profile Blog Joined August 2009
Germany470 Posts
Last Edited: 2009-10-26 04:58:36
October 26 2009 04:57 GMT
#22
On October 26 2009 13:50 cascades wrote:
Show nested quote +
On October 26 2009 13:47 Wilko wrote:


Shouldn't mirrors also be counted twice?

Like:

T1 vs T2
T2 vs T1
Z1 vs Z2
Z2 vs Z1
P1 vs P2
P2 vs P1


Yes. So it is still 1 in 3.


Yes
29 fps
Profile Blog Joined March 2008
United States5725 Posts
October 26 2009 04:58 GMT
#23
coaches send a particular race on certain maps because the maps have been shown to favor that certain race. so it's partly the map's fault, but that can't be blamed for everything. some teams just have stronger players of a certain race, so they send out two of them. and if it happens that two strong zerg teams play each other (cj vs oz) or two strong protoss teams play each other (skt vs khan), then there's a higher chance of mirror matches. the exact numbers get pretty complicated, of course.
4v4 is a battle of who has the better computer.
TheYango
Profile Joined September 2008
United States47024 Posts
Last Edited: 2009-10-26 05:02:02
October 26 2009 05:01 GMT
#24
On October 26 2009 13:47 Wilko wrote:
T1 vs T2
T2 vs T1
Z1 vs Z2
Z2 vs Z1
P1 vs P2
P2 vs P1

T1 v T2 is the same as T2 v T1, but P1 v T2 is different from T1 v P2.

Let's call our players Movie and Skyhigh.

Movie P v Skyhigh P is the same matchup as Skyhigh P v Movie P, but Movie P v Skyhigh T is different from Movie T v Skyhigh P.
Moderator
p4NDemik
Profile Blog Joined January 2008
United States13896 Posts
Last Edited: 2009-10-26 05:07:03
October 26 2009 05:04 GMT
#25
Reading this thread is downright enfuriating. Such a simple concept takes 20 replies for some to understand. Here's a table for matchups in a totally random situation.

[image loading]


There's 9 possible outcomes. 1/9 (11%) chance of each one happening. As you can see each type of mirror only occurs once, each type of non-mirror occurs twice. Thus there is 3/9 chance (33.3%) for mirrors, 6/9 (66.6%) chance for non-mirrors.
Moderator
wswordsmen
Profile Joined October 2007
United States987 Posts
October 26 2009 05:28 GMT
#26
Conclusion: We observe that 50% of PL matches are mirrors, while if the races were randomly selected due to map balance we would expect 33% mirrors. Therefore the maps are not perfectly balanced but if fact skewed towards one race resulting in more mirror matches than expected.
baubo
Profile Joined September 2008
China3370 Posts
October 26 2009 05:32 GMT
#27
Just from watching several matches, it seems to me the numbers should be even higher. If you just look at the stats of non-Ace matches, I bet the % would rise. In ace matches teams send their best players. Whereas non-ace matches they tend to send a certain race for map purposes.
Meh
Avidkeystamper
Profile Blog Joined June 2008
United States8556 Posts
October 26 2009 05:33 GMT
#28
P.S. Fans are frustrated.
Jaedong
Heyoka
Profile Blog Joined March 2008
Katowice25012 Posts
October 26 2009 05:37 GMT
#29
On October 26 2009 14:28 wswordsmen wrote:
Conclusion: We observe that 50% of PL matches are mirrors, while if the races were randomly selected due to map balance we would expect 33% mirrors. Therefore the maps are not perfectly balanced but if fact skewed towards one race resulting in more mirror matches than expected.


What we're actually measuring here is the coach's perception of the maps, not some intrinsic value they have
@RealHeyoka | ESL / DreamHack StarCraft Lead
Jyvblamo
Profile Blog Joined June 2006
Canada13788 Posts
Last Edited: 2009-10-26 05:39:49
October 26 2009 05:39 GMT
#30
In this thread, we learn that human brains are horribly wired for understanding statistics and probability.
+ Show Spoiler +
http://www.ted.com/talks/peter_donnelly_shows_how_stats_fool_juries.html
ShadowDrgn
Profile Blog Joined July 2007
United States2497 Posts
October 26 2009 05:59 GMT
#31
On October 26 2009 14:37 heyoka wrote:
Show nested quote +
On October 26 2009 14:28 wswordsmen wrote:
Conclusion: We observe that 50% of PL matches are mirrors, while if the races were randomly selected due to map balance we would expect 33% mirrors. Therefore the maps are not perfectly balanced but if fact skewed towards one race resulting in more mirror matches than expected.


What we're actually measuring here is the coach's perception of the maps, not some intrinsic value they have


I don't know how many progamers there are, but I think it's around 250 when you combine 12 teams' A and B teams. They all practice 12 hours a day, and with a conservative guess of 2 games/hour, that's 24 games a day. Even if all the pros play one another instead of non-pros on iccup, that's still 3000 games total a day between them. Given a few months to practice new maps, I think the coaches have a very good idea which races are better on certain maps.
Of course, you only live one life, and you make all your mistakes, and learn what not to do, and that’s the end of you.
economist_
Profile Blog Joined April 2008
Vietnam719 Posts
October 26 2009 06:38 GMT
#32
Jesus, another imbalance thread.

50% would be indicating that something is imbalanced only if the coach were making perfectly random decision (assuming that he makes final decision). If there were something like a coach perceives that some maps are more favorable to certain race and send that race out (in addition to other factors which might kick in), whatever the (conditional) probability you get, it says nothing about imbalance, anything at all

p4NDemik, name of your matrix is lol
Economics forecast assumes everything, except responsibilities
Heyoka
Profile Blog Joined March 2008
Katowice25012 Posts
October 26 2009 07:03 GMT
#33
On October 26 2009 14:39 Jyvblamo wrote:
In this thread, we learn that human brains are horribly wired for understanding statistics and probability.
+ Show Spoiler +
http://www.ted.com/talks/peter_donnelly_shows_how_stats_fool_juries.html


If you read Nassim Taleb's books he blames Descartes specifically for how people have difficulty understanding statistics. I get the feeling its something that makes him very angry.

On October 26 2009 14:59 ShadowDrgn wrote:
Show nested quote +
On October 26 2009 14:37 heyoka wrote:
On October 26 2009 14:28 wswordsmen wrote:
Conclusion: We observe that 50% of PL matches are mirrors, while if the races were randomly selected due to map balance we would expect 33% mirrors. Therefore the maps are not perfectly balanced but if fact skewed towards one race resulting in more mirror matches than expected.


What we're actually measuring here is the coach's perception of the maps, not some intrinsic value they have


I don't know how many progamers there are, but I think it's around 250 when you combine 12 teams' A and B teams. They all practice 12 hours a day, and with a conservative guess of 2 games/hour, that's 24 games a day. Even if all the pros play one another instead of non-pros on iccup, that's still 3000 games total a day between them. Given a few months to practice new maps, I think the coaches have a very good idea which races are better on certain maps.


Doesn't change the fact that we are not measuring an actual quality of the maps. The distinction is necessary.
@RealHeyoka | ESL / DreamHack StarCraft Lead
Highways
Profile Joined July 2005
Australia6120 Posts
October 26 2009 09:49 GMT
#34
I totally agree.

I've actually been complaining about the mass mirrors during last seasons proleague. I think there should just be race restrictions on maps.
#1 Terran hater
Syntax Lost
Profile Joined May 2009
Finland86 Posts
October 26 2009 10:41 GMT
#35
One important factor to look at when trying to analyse balance is to look at how the coaches are selecting their lineups. They're not just playing the maps, but their also trying to game against the opposing team as well, which makes the situation more complicated. It could very well be possible that the coaches have a bias for generating more mirrors for whatever reason unrelated to maps.
prOxi.swAMi
Profile Blog Joined November 2004
Australia3091 Posts
October 26 2009 10:55 GMT
#36
I actually really like mirror matchups as far as spectating goes. When it comes to playing them however, I could think of nothing worse.
Oh no
JohannesH
Profile Joined September 2009
Finland1364 Posts
Last Edited: 2009-10-26 11:00:06
October 26 2009 10:57 GMT
#37
When the ratios of races played arent 33% of players for each race (dont know how much they are though, somebody got the stats for this?), even a totally random distribution wouldnt give 33% of games mirrors.

And as said theres more than just maps simply favoring a race or 2. Some players' style might be more suited for a certain map than another player of same race. Different people have different matchups as their strongest. Some map might have some viable strategies for a race thought weak on it, but those strategies just arent figured out instantly... etc etc.


Oh and I like mirrors... Both players having the same weapons in their arsenal is interesting.
If you have to ask, you don't know.
Signet
Profile Joined March 2007
United States1718 Posts
October 26 2009 11:28 GMT
#38
On October 26 2009 14:01 TheYango wrote:
Show nested quote +
On October 26 2009 13:47 Wilko wrote:
T1 vs T2
T2 vs T1
Z1 vs Z2
Z2 vs Z1
P1 vs P2
P2 vs P1

T1 v T2 is the same as T2 v T1, but P1 v T2 is different from T1 v P2.

Let's call our players Movie and Skyhigh.

Movie P v Skyhigh P is the same matchup as Skyhigh P v Movie P, but Movie P v Skyhigh T is different from Movie T v Skyhigh P.

This is true. However, in practice, Movie plays P and Skyhigh plays T. So Movie P vs Skyhigh T is the only matchup that should get counted here.

Since each progamer plays one race professionally - with extremely rare exceptions - the theoretical 1/3 mirrors is an asymptotic limit, not the true expected value.
sovietico
Profile Joined November 2007
Spain17 Posts
Last Edited: 2009-10-26 11:39:02
October 26 2009 11:34 GMT
#39
On October 26 2009 14:04 p4NDemik wrote:
Reading this thread is downright enfuriating. Such a simple concept takes 20 replies for some to understand. Here's a table for matchups in a totally random situation.

[image loading]


There's 9 possible outcomes. 1/9 (11%) chance of each one happening. As you can see each type of mirror only occurs once, each type of non-mirror occurs twice. Thus there is 3/9 chance (33.3%) for mirrors, 6/9 (66.6%) chance for non-mirrors.


I think this logic is ok if we have 33% protosses 33% terrans and 33% zergs. Wich is not the case, we should see the number of terran protoss and zerg players to calculate in an apropiate way the "ideal" number of mirror matchups that should be. For ex: if there are 98 terrans 1 protoss and 1 zerg in the rosters of the PL teams, near 99% of the games will be mirrors and not 33%.

at least thats what i think :S
HopLight
Profile Blog Joined January 2009
Sweden999 Posts
Last Edited: 2009-10-26 11:42:30
October 26 2009 11:42 GMT
#40
On October 26 2009 14:04 p4NDemik wrote:
Reading this thread is downright enfuriating. Such a simple concept takes 20 replies for some to understand. Here's a table for matchups in a totally random situation.

[image loading]


There's 9 possible outcomes. 1/9 (11%) chance of each one happening. As you can see each type of mirror only occurs once, each type of non-mirror occurs twice. Thus there is 3/9 chance (33.3%) for mirrors, 6/9 (66.6%) chance for non-mirrors.



I love the table name!
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