# Difference between revisions of "Talk:1132: Frequentists vs. Bayesians"

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: You don't think you could spend fifty bucks in eight minutes? ;-) (PS: wikipedia is probably a better link than lmgtfy: {{w|Dunning-Kruger effect}}) -- [[User:IronyChef|IronyChef]] ([[User talk:IronyChef|talk]]) 15:35, 9 November 2012 (UTC) | : You don't think you could spend fifty bucks in eight minutes? ;-) (PS: wikipedia is probably a better link than lmgtfy: {{w|Dunning-Kruger effect}}) -- [[User:IronyChef|IronyChef]] ([[User talk:IronyChef|talk]]) 15:35, 9 November 2012 (UTC) | ||

Randall has referenced the Labyrinth guards before: [http://xkcd.com/246/ xkcd 246:Labyrinth puzzle]. Plus he has satirized p<0.05 in [http://www.explainxkcd.com/wiki/index.php?title=882:_Significant xkcd 882:Significant]--[[User:Prooffreader|Prooffreader]] ([[User talk:Prooffreader|talk]]) 15:59, 9 November 2012 (UTC) | Randall has referenced the Labyrinth guards before: [http://xkcd.com/246/ xkcd 246:Labyrinth puzzle]. Plus he has satirized p<0.05 in [http://www.explainxkcd.com/wiki/index.php?title=882:_Significant xkcd 882:Significant]--[[User:Prooffreader|Prooffreader]] ([[User talk:Prooffreader|talk]]) 15:59, 9 November 2012 (UTC) | ||

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+ | A bit of maths. Let event N be the sun going nova and event Y be the detector giving the answer "Yes". The detector has already given a positive answer so we want to compute P(N|Y). Applying the Bayes' theorem: | ||

+ | : P(N|Y) = P(Y|N) * P(N) / P(Y) | ||

+ | : P(Y|N) = 1 | ||

+ | : P(N) = 0.0000.... | ||

+ | : P(Y|N) * P(N) = 0.0000... | ||

+ | : P(Y) = p(Y|N)*P(N) + P(Y|-N)*P(-N) | ||

+ | : P(Y|-N) = 1/36 | ||

+ | : P(-N) = 0.999999... | ||

+ | : P(Y) = 0 + 1/36 = 1/36 | ||

+ | : P(N|Y) = 0 / (1/36) = 0 | ||

+ | Quite likely it's not entirely correct. [[User:Lmpk|Lmpk]] ([[User talk:Lmpk|talk]]) 16:22, 9 November 2012 (UTC) |

## Revision as of 16:22, 9 November 2012

Note: taking that bet would be a mistake. If the Bayesian is right, you're out $50. If he's wrong, everyone is about to die and you'll never get to spend the winnings. Of course, this meta-analysis is itself a type of Bayesian thinking, so Dunning-Kruger Effect would apply. - Frankie (talk) 13:50, 9 November 2012 (UTC)

- You don't think you could spend fifty bucks in eight minutes? ;-) (PS: wikipedia is probably a better link than lmgtfy: Dunning-Kruger effect) -- IronyChef (talk) 15:35, 9 November 2012 (UTC)

Randall has referenced the Labyrinth guards before: xkcd 246:Labyrinth puzzle. Plus he has satirized p<0.05 in xkcd 882:Significant--Prooffreader (talk) 15:59, 9 November 2012 (UTC)

A bit of maths. Let event N be the sun going nova and event Y be the detector giving the answer "Yes". The detector has already given a positive answer so we want to compute P(N|Y). Applying the Bayes' theorem:

- P(N|Y) = P(Y|N) * P(N) / P(Y)
- P(Y|N) = 1
- P(N) = 0.0000....
- P(Y|N) * P(N) = 0.0000...
- P(Y) = p(Y|N)*P(N) + P(Y|-N)*P(-N)
- P(Y|-N) = 1/36
- P(-N) = 0.999999...
- P(Y) = 0 + 1/36 = 1/36
- P(N|Y) = 0 / (1/36) = 0

Quite likely it's not entirely correct. Lmpk (talk) 16:22, 9 November 2012 (UTC)