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Jaedong's Bo5 Record - Page 3
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Shield
Bulgaria4824 Posts
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torm3ntin
Brazil2534 Posts
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SuperArc
Austria7781 Posts
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Exteray
United States1094 Posts
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Impervious
Canada4170 Posts
On January 21 2010 02:54 Monsen wrote: The problem is, statistics don't account for the insantiy that is Flash. That is true, but it is the best estimate available. | ||
Impervious
Canada4170 Posts
On January 21 2010 02:59 torm3ntin wrote: it's nice to hear all the math but in the end Flash will win I give him a 47% chance to win, against the player who is, arguably, the best yet. Is that not good enough for you? It should make one hell of a series, regardless of who wins. | ||
NrG.GoD-
Australia63 Posts
First your wording is a little ambiguous. You said "Specifically, there are 32 possible outcomes for a 5 game series between X and Y". In this sentence you did not say "Best of five". Therefore your argument that the number of possible outcomes in the series is 32, is true. If you meant "Best of five" then obviously your "calculations" would differ in figures, and you need to take into account that the series can be of 3 different number of sets - ie) there can be a 5game bo5(3-2,2-3), 4game bo5(3-1, 1-3), or a 3 game bo5(5-0,0-5), and you would need to consider the 3 "scenarios" seperately and add up the probabilties, which would complicate the problem You have failed to take into consideration the psychological damages experienced by the players X and Y when they lose a game(especially if they lose to a cheese). When X beats Y with a BBS build then the chances of X winning the 2nd game would also increase. As someone already mentioned, you have also failed to take into consideration the skill-level of the opponent. Doing a Bo5 against FLASH is surely different to doing a bo5 against Gorush. Also the position of the players is not considered. What I mean is right now Flash is the top player, and although jaedong is better in a career sense, Jaedong is in the "challenger" position. This MSL final can be titled "Can jaedong stop Flash?", not "Can Flash stop Jaedong". This "force" emitted by the players certainly impact gameplay. It is ridiculous to represent someone's probability of winning with a number in a series of games. Have we not already experienced on 2007/3/3, when bisu's probability of winning was calculated to be like 3% (which includes 3-0 victory, 3-1, or a 3-2), and yet he won 3-0 against the king savior? | ||
Impervious
Canada4170 Posts
On January 21 2010 03:22 NrG.GoD- wrote: I can see that you have tried incorporating the method of "Binomial Probability" to come up with a figure to represent JAedong's probability of winning a Bo5 First your wording is a little ambiguous. You said "Specifically, there are 32 possible outcomes for a 5 game series between X and Y". In this sentence you did not say "Best of five". Therefore your argument that the number of possible outcomes in the series is 32, is true. If you meant "Best of five" then obviously your "calculations" would differ in figures, and you need to take into account that the series can be of 3 different number of sets - ie) there can be a 5game bo5(3-2,2-3), 4game bo5(3-1, 1-3), or a 3 game bo5(5-0,0-5), and you would need to consider the 3 "scenarios" seperately and add up the probabilties, which would complicate the problem Actually, that is taken into consideration..... You have failed to take into consideration the psychological damages experienced by the players X and Y when they lose a game(especially if they lose to a cheese). When X beats Y with a BBS build then the chances of X winning the 2nd game would also increase. As someone already mentioned, you have also failed to take into consideration the skill-level of the opponent. Doing a Bo5 against FLASH is surely different to doing a bo5 against Gorush. Also the position of the players is not considered. What I mean is right now Flash is the top player, and although jaedong is better in a career sense, Jaedong is in the "challenger" position. This MSL final can be titled "Can jaedong stop Flash?", not "Can Flash stop Jaedong". This "force" emitted by the players certainly impact gameplay. It is ridiculous to represent someone's probability of winning with a number in a series of games. Have we not already experienced on 2007/3/3, when bisu's probability of winning was calculated to be like 3% (which includes 3-0 victory, 3-1, or a 3-2), and yet he won 3-0 against the king savior? That is all true, which is why statistics in something like this is unreliable, at best. However, it does give us some kind of numerical backing. Going by just the individual games records, I can't give Flash the win, and by only going by the most recent 30 or so games, the amount of error involved in the numbers makes it useless to do..... There is little choice here..... | ||
NrG.GoD-
Australia63 Posts
On January 21 2010 03:28 lMPERVlOUS wrote: Actually, that is taken into consideration..... No. You did not because you have chosen to consider a "Five game series" not a "Best of Five". Please read carefully what i wrote. I said "IF you meant bo5" | ||
MuffinDude
United States3837 Posts
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Impervious
Canada4170 Posts
On January 21 2010 03:32 NrG.GoD- wrote: No. You did not because you have chosen to consider a "Five game series" not a "Best of Five". Please read carefully what i wrote. I said "IF you meant bo5" Actually, they are the same thing, it's just that once 3 wins are found, the rest of the games are not played. The math works out the same. It is simplifying the calculations. If you want to do the messy math, and find the same result, go ahead. | ||
ArmChairCritic
Sweden36 Posts
P(Jaedong wins)= 0.6829 since it is Bo5 will lead to: X~NB(3,0.6829) First instance, 3 straight wins by the dong=(0.6829)^3 Second instance, 3 wins, 1 loss=3*(0.6829)^3(1-0.6829)^1 Third instance, 3 wins, 2 losses=6*(0.6829)^3(1-0.6829)^2 Doing this on my calculator gives me 0.8135733316 EDIT: ofc isnt this true because it depends on the opposing players skill level as well but might be used as an indicator EDIT2: Oh lol 0.6829 was the probability to win a Bo5? Cuz then it is kinda fail question in the op. Gonna approximate the change for the dongman to win a single match. brb | ||
TheBB
Switzerland5133 Posts
On January 21 2010 02:47 FieryBalrog wrote: Its completely silly to take Jaedong's win % as a representation of his single-game win percentage as that takes into account his series wins. This biases the data. I was under the impression you were trying to separate the two categories. If you want to analyze his Bo5 performance in terms of the expected win rate given his single game win %, you need to actually count up his single game win %, excluding all series games. Er, no. Noone is trying to separate any categories. On January 21 2010 03:51 ArmChairCritic wrote: EDIT: ofc isnt this true because it depends on the opposing players skill level as well but might be used as an indicator Sure it's true. It's true assuming no prior knowledge of the opposing player. Or rather, assuming the opposing player is drawn from the same distribution as the previous opponents. All probability computation depends crucially on the information available, you just can't escape that. There are no universally true probabilities, unless you want to talk quantum mechanics here, but I guess you don't. | ||
qrs
United States3637 Posts
On January 21 2010 03:51 ArmChairCritic wrote: So much math fail in this thread: P(Jaedong wins)= 0.6829 since it is Bo5 will lead to: X~NB(3,0.6829) First instance, 3 straight wins by the dong=(0.6829)^3 Second instance, 3 wins, 1 loss=3*(0.6829)^3(1-0.6829)^1 Third instance, 3 wins, 2 losses=6*(0.6829)^3(1-0.6829)^2 Doing this on my calculator gives me 0.8135733316 EDIT: ofc isnt this true because it depends on the opposing players skill level as well but might be used as an indicator Sure, there's usually more than one way to break something down. The figure is the same. By the way, this might surprise people, but I actually wasn't trying to predict anything about the upcoming MSL final. I was just curious about whether the claim that Jaedong does better in bo5's was backed up by the facts. edit: On January 21 2010 03:55 TheBB wrote: Sure it's true. It's true assuming no prior knowledge of the opposing player. Or rather, assuming the opposing player is drawn from the same distribution as the previous opponents. All probability computation depends crucially on the information available, you just can't escape that. There are no universally true probabilities, unless you want to talk quantum mechanics here, but I guess you don't. Well put. | ||
love1another
United States1844 Posts
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ArmChairCritic
Sweden36 Posts
EDIT: or was it? anyways going to sleep now, cant barely read lol | ||
Breach_hu
Hungary2431 Posts
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verteqz
Canada89 Posts
=BINOMDIST(2, 5, 1-0.6829, 1) =0.813573 In the context of the MSL finals, a meaningless number. | ||
seanisgrand
United States1039 Posts
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siv00
261 Posts
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