Editing Talk:1132: Frequentists vs. Bayesians
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Something should be added about the prior probability of the sun going nova, as that is the primary substantive point. "The neutrino detector is evidence that the Sun has exploded. It's showing an observation which is 35 times more likely to appear if the Sun has exploded than if it hasn't (likelihood ratio of 35:1). The Bayesian just doesn't think that's strong enough evidence to overcome the prior odds, i.e., after multiplying the prior odds by 35 they still aren't very high." - http://lesswrong.com/r/discussion/lw/fe5/xkcd_frequentist_vs_bayesians/ [[Special:Contributions/209.65.52.92|209.65.52.92]] 23:51, 9 November 2012 (UTC) | Something should be added about the prior probability of the sun going nova, as that is the primary substantive point. "The neutrino detector is evidence that the Sun has exploded. It's showing an observation which is 35 times more likely to appear if the Sun has exploded than if it hasn't (likelihood ratio of 35:1). The Bayesian just doesn't think that's strong enough evidence to overcome the prior odds, i.e., after multiplying the prior odds by 35 they still aren't very high." - http://lesswrong.com/r/discussion/lw/fe5/xkcd_frequentist_vs_bayesians/ [[Special:Contributions/209.65.52.92|209.65.52.92]] 23:51, 9 November 2012 (UTC) | ||
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Here's what I get for the application of Bayes' Theorem: | Here's what I get for the application of Bayes' Theorem: | ||
− | : P(N|Y) = P(Y|N) * P(N) / P(Y): = P(Y|N) * P(N) / [P(Y|N) * P(N) + P(Y|~N) * P(~N)] | + | : P(N|Y) = P(Y|N) * P(N) / P(Y) |
+ | : = P(Y|N) * P(N) / [P(Y|N) * P(N) + P(Y|~N) * P(~N)] | ||
: = 35/36 * P(N) / [35/36 * P(N) + 1/36 * (1 - P(N))] | : = 35/36 * P(N) / [35/36 * P(N) + 1/36 * (1 - P(N))] | ||
: = 35 * P(N) / [35 * P(N) - P(N) + 1] | : = 35 * P(N) / [35 * P(N) - P(N) + 1] | ||
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:Yes, you would be able to ask. While neutrinos move almost at speed of light, the plasma of the explosion is significally slower, [http://en.wikipedia.org/wiki/Supernova 10% of speed of light tops]. You will have more that hour to ask. (Note that technically, sun can't go [http://en.wikipedia.org/wiki/Nova nova], because nova is white dwarf with external source of hydrogen. It can (and will), however, go supernova, which I assume is what Randall means.) -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 09:19, 12 November 2012 (UTC) | :Yes, you would be able to ask. While neutrinos move almost at speed of light, the plasma of the explosion is significally slower, [http://en.wikipedia.org/wiki/Supernova 10% of speed of light tops]. You will have more that hour to ask. (Note that technically, sun can't go [http://en.wikipedia.org/wiki/Nova nova], because nova is white dwarf with external source of hydrogen. It can (and will), however, go supernova, which I assume is what Randall means.) -- [[User:Hkmaly|Hkmaly]] ([[User talk:Hkmaly|talk]]) 09:19, 12 November 2012 (UTC) | ||
− | :: Our sun will not go supernova, as it has insufficient mass. It will slowly become hotter, rendering Earth uninhabitable in a few billion years. In about 5 billion years it will puff up into a red giant, swallowing the inner planets. After that, it will gradually blow off its lighter gasses, eventually leaving behind the core, a white dwarf. [[ | + | :: Our sun will not go supernova, as it has insufficient mass. It will slowly become hotter, rendering Earth uninhabitable in a few billion years. In about 5 billion years it will puff up into a red giant, swallowing the inner planets. After that, it will gradually blow off its lighter gasses, eventually leaving behind the core, a white dwarf. [[User:dcmeserve|dcmeserve]] |
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+ | :::I left your comment here so I can set you straight on something. '''''DO NOT EVER''''' edit any editor's comments on a discussion page. You can reply to their comment, but you do not edit another person's words. You do that again, you get the banhammer. [[User:Lcarsos|lcarsos]] ([[User talk:Lcarsos|talk]]) 17:38, 13 November 2012 (UTC) | ||
+ | :::: Quote from the instructions at the bottom of the discussion edit page: "Please note that all contributions to explain xkcd '''may be edited, altered, or removed by other contributors'''. If you do not want '''your writing to be edited mercilessly''', then do not submit it here." But don't worry, I won't be contributing again, if it can be met with this kind of attitude.[[User:dcmeserve|dcmeserve]] | ||
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+ | :::::If you'll note, those instructions are on the bottom of every edit page. Indeed, the notice is intended to be for article pages, where it is encouraged that an editor with an improvement, improve upon the words of another editor. However, on a talk page, discourse is meant to be conducted, by editors for the betterment of the article. For constructive discourse to occur, a person's words must be left in tact. The act of censorship hurts the common goal of betterment. Per [http://en.wikipedia.org/wiki/Wikipedia:Talk_page_guidelines#Editing_comments Wikipedia], the authoritative source on how a wiki works best: "you ''should not'' edit or delete the comments of other editors without their permission." I encourage, nay, ''implore'', you to assist in the improvement this wiki. But please, do it without editing other people's comments on a talk page, that's simply rude. [[User:Lcarsos|lcarsos]]<span title="I'm an admin. I can help.">_a</span> ([[User talk:Lcarsos|talk]]) 01:08, 15 November 2012 (UTC) | ||
− | ::: | + | ::::::This was my first time contributing to a wiki discussion page. There was nothing written here to lead me to believe that it was different in this regard from any other wiki page; quite the opposite, as I mentioned. Perhaps you can find a way to describe this exception in the instructions at the bottom of the edit page. I'm sure you found out or helped form this bit of wiki etiquette long ago, but people who are new to contributing should not be verbally assaulted for not having heard of it already. And by a main editor, no less.[[User:dcmeserve|dcmeserve]] |
I think the explanation is wrong or otherwise lacking in its explanation: The P-value is not the entire problem with the frequentist's viewpoint (or alternatively, the problem with the p-value hasn't been explained). The Frequentist has looked strictly at a two case scenario: Either the machine rolls 6-6 and is lying, or it doesn't rolls 6-6 and it is telling the truth. Therefore, there is a 35/36 probability (97.22%) that the machine is telling the truth and therefore the sun has exploded. The Bayesian is factoring in outside facts and information to improve the accuracy of the probability model. He says "Either the machine rolls 6-6 (a 1/36 probability, or 2.77%) or the sun has exploded (an aparently far less likely scenario). Given the comparison, the Bayesian believes it is MORE probable that the machine rolled 6-6 than the sun exploded, given the relative probabilities. If the latter is a 1 in a million chance (0.000001%), it is 2,777,777 times more likely that the machine rolled 6-6 than the sun exploded. | I think the explanation is wrong or otherwise lacking in its explanation: The P-value is not the entire problem with the frequentist's viewpoint (or alternatively, the problem with the p-value hasn't been explained). The Frequentist has looked strictly at a two case scenario: Either the machine rolls 6-6 and is lying, or it doesn't rolls 6-6 and it is telling the truth. Therefore, there is a 35/36 probability (97.22%) that the machine is telling the truth and therefore the sun has exploded. The Bayesian is factoring in outside facts and information to improve the accuracy of the probability model. He says "Either the machine rolls 6-6 (a 1/36 probability, or 2.77%) or the sun has exploded (an aparently far less likely scenario). Given the comparison, the Bayesian believes it is MORE probable that the machine rolled 6-6 than the sun exploded, given the relative probabilities. If the latter is a 1 in a million chance (0.000001%), it is 2,777,777 times more likely that the machine rolled 6-6 than the sun exploded. | ||
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The Labyrinth reference reminds me of an old Doctor Who episode (Pyramid of Mars), where the Doctor is also faced with a truthful and untruthful set of guards. Summarized here: http://tardis.wikia.com/wiki/Pyramids_of_Mars_(TV_story) [[User:Fermax|Fermax]] ([[User talk:Fermax|talk]]) 04:49, 14 November 2012 (UTC) | The Labyrinth reference reminds me of an old Doctor Who episode (Pyramid of Mars), where the Doctor is also faced with a truthful and untruthful set of guards. Summarized here: http://tardis.wikia.com/wiki/Pyramids_of_Mars_(TV_story) [[User:Fermax|Fermax]] ([[User talk:Fermax|talk]]) 04:49, 14 November 2012 (UTC) | ||
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