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===[[Monty Hall problem]]===
:''The following is an archived discussion of a [[Wikipedia:Featured article review|featured article review]]. <span style="color:red">'''Please do not modify it.'''</span> Further comments should be made on the article's talk page or at [[Wikipedia talk:Featured article review]]. No further edits should be made to this page.''


The article was '''removed''' by [[User:Dana boomer|Dana boomer]] 14:51, 13 June 2011 [http://en.wikipedia.org/enwiki/w/index.php?diff=prev&oldid=434063595].
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===[[Monty Hall problem]]===
====Review commentary====
<!-- Please don't edit anything above here. Be sure to include your reasons for nominating below. -->
<!-- Please don't edit anything above here. Be sure to include your reasons for nominating below. -->
:<small>''Notified: [[User:Rick Block]], [[User:Gill110951]], [[User:Glopk]], (top 3, the next two are topic banned) [[Wikipedia talk:WikiProject Statistics]] [[Wikipedia talk:WikiProject Mathematics]] [[Wikipedia talk:WikiProject Television Game Shows]] [[Wikipedia talk:WikiProject Game theory]] [[Wikipedia talk:WikiProject Psychology]]''</small>
:<small>''Notified: [[User:Rick Block]], [[User:Gill110951]], [[User:Glopk]], (top 3, the next two are topic banned) [[Wikipedia talk:WikiProject Statistics]] [[Wikipedia talk:WikiProject Mathematics]] [[Wikipedia talk:WikiProject Television Game Shows]] [[Wikipedia talk:WikiProject Game theory]] [[Wikipedia talk:WikiProject Psychology]]''</small>
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Rick Block [http://en.wikipedia.org/enwiki/w/index.php?title=Talk:Monty_Hall_problem&diff=prev&oldid=418895292 writes] that the distinction between the two interpretations (and thus two mathematical problem-objects, one a subset, i.e. particular case of the other) is not important enough for the lead. It may not be immediately apparent why this is also a WIAFA '''2a''' issue, but it becomes evident once you try to read the rest of article: the lead simply fails to prepare the reader for the problem variations which the proponents of various methods argue that their method is "the best". [[David Hilbert]] said "He who seeks for methods without having a definite problem in mind seeks for the most part in vain." The major problem variants don't ''have'' to be in the lead, but they should be certainly be stated before the several solutions are given, because these ''also'' try to convince the reader that the other approaches are wrong or superfluous.
Rick Block [http://en.wikipedia.org/enwiki/w/index.php?title=Talk:Monty_Hall_problem&diff=prev&oldid=418895292 writes] that the distinction between the two interpretations (and thus two mathematical problem-objects, one a subset, i.e. particular case of the other) is not important enough for the lead. It may not be immediately apparent why this is also a WIAFA '''2a''' issue, but it becomes evident once you try to read the rest of article: the lead simply fails to prepare the reader for the problem variations which the proponents of various methods argue that their method is "the best". [[David Hilbert]] said "He who seeks for methods without having a definite problem in mind seeks for the most part in vain." The major problem variants don't ''have'' to be in the lead, but they should be certainly be stated before the several solutions are given, because these ''also'' try to convince the reader that the other approaches are wrong or superfluous.


There are plenty of secondary sources that make this separation, e.g. Rosenhouse (2009) ISBN 0195367898 by chapter, but not Wikipedia. In a similar vein, [[User:Kmhkmh]] [http://en.wikipedia.org/enwiki/w/index.php?title=Talk%3AMonty_Hall_problem&action=historysubmit&diff=419157047&oldid=419138671 argues] that even presenting one of the variants ahead of the other is "nothing but a subtle POV pushing". If you wonder how this could possibly be so, the answer is the next paragraph.
There are plenty of secondary sources that make this separation, e.g. Rosenhouse (2009) {{ISBN|0195367898}} by chapter, but not Wikipedia. In a similar vein, [[User:Kmhkmh]] [http://en.wikipedia.org/enwiki/w/index.php?title=Talk%3AMonty_Hall_problem&action=historysubmit&diff=419157047&oldid=419138671 argues] that even presenting one of the variants ahead of the other is "nothing but a subtle POV pushing". If you wonder how this could possibly be so, the answer is the next paragraph.


2) Another lead issue is that MHP made it to the pages of the ''[[New York Times]]'' (the first time around) in no small part because mathematicians disagreed on what math problem vos Savant's words should translate to, with some of them proposing even other variants besides the above two. Of course, I'm not proposing a list in the lead, but a large part of MHP's notability is due to its confusing language, at least in its original formulation, which should be said in the lead (WIAFA '''2a'''/'''1d''').
2) Another lead issue is that MHP made it to the pages of the ''[[New York Times]]'' (the first time around) in no small part because mathematicians disagreed on what math problem vos Savant's words should translate to, with some of them proposing even other variants besides the above two. Of course, I'm not proposing a list in the lead, but a large part of MHP's notability is due to its confusing language, at least in its original formulation, which should be said in the lead (WIAFA '''2a'''/'''1d''').
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Bayes' theorem vs is like mom's meat grinder next to a food processing plant when up against [[extensive-form game]]s and [[Markov decision process]]es, (no need to skin the pig or chop the meat manually before the machinery takes over). As [[Ken Binmore]] puts it, once you formulate it as an EFG you hardly have to (creatively) think at all, meaning you just apply a well known algorithm to solve it. (Same goes for MDP or formulating it as a [[Bayesian game]]). Sources usable for this:
Bayes' theorem vs is like mom's meat grinder next to a food processing plant when up against [[extensive-form game]]s and [[Markov decision process]]es, (no need to skin the pig or chop the meat manually before the machinery takes over). As [[Ken Binmore]] puts it, once you formulate it as an EFG you hardly have to (creatively) think at all, meaning you just apply a well known algorithm to solve it. (Same goes for MDP or formulating it as a [[Bayesian game]]). Sources usable for this:


* [[Ken Binmore]], ''Playing for real'', ISBN 0195300572, pp. 77-79, 84-85, 91-92, 385-386 (uses MHP as a running example) -- EFG approach, the most insightful
* [[Ken Binmore]], ''Playing for real'', {{ISBN|0195300572}}, pp. 77-79, 84-85, 91-92, 385-386 (uses MHP as a running example) -- EFG approach, the most insightful
* Chun 1999 [http://isds.bus.lsu.edu/chun/teach/reading-a/Chun%201999.pdf] -- Bayesian (matrix) game approach with [[linear programming]] solution (with some "[[information economics]]" chaff that can be ignored).
* Chun 1999 [http://isds.bus.lsu.edu/chun/teach/reading-a/Chun%201999.pdf] -- Bayesian (matrix) game approach with [[linear programming]] solution (with some "[[information economics]]" chaff that can be ignored).
<small>The fact that the above two are equivalent approaches is non-trivial in general, a result that played no small part in [[Reinhard Selten|these]] [[John Harsanyi|guys]] getting a Nobel prize.</small>
<small>The fact that the above two are equivalent approaches is non-trivial in general, a result that played no small part in [[Reinhard Selten|these]] [[John Harsanyi|guys]] getting a Nobel prize.</small>
* ''Handbook of weighted automata'', {{doi|10.1007/978-3-642-01492-5}}, pp. 527-536 -- MDP approach, iterated value solution (uses MHP as running example to introduce the notions) This works because Monty has only one move.
* ''Handbook of weighted automata'', {{doi|10.1007/978-3-642-01492-5}}, pp. 527-536 -- MDP approach, iterated value solution (uses MHP as running example to introduce the notions) This works because Monty has only one move.


10) Issues related to [[interpretation of probability]] not discussed. Suggested source: Georgii ISBN 3110191458 (3rd ed.) pp. 54-56 (More correctly these are framed as issues stemming from what can or cannot be assumed [[common knowledge (logic)]]. Crucially, the definition of a game like EFG assumes the rules are known by all player.) Also Rosenhouse pp. 84-88, but it's less useful. Olofsson ISBN 0470040017 pp. 50-52 discusses it the same way as Georgii, but with less formalism.
10) Issues related to [[interpretation of probability]] not discussed. Suggested source: Georgii {{ISBN|3110191458}} (3rd ed.) pp. 54-56 (More correctly these are framed as issues stemming from what can or cannot be assumed [[common knowledge (logic)]]. Crucially, the definition of a game like EFG assumes the rules are known by all player.) Also Rosenhouse pp. 84-88, but it's less useful. Olofsson {{ISBN|0470040017}} pp. 50-52 discusses it the same way as Georgii, but with less formalism.


11) Issues stemming from [[bounded rationality]] not discussed. E.g., {{doi|10.1002/bdm.451}} Related to this, Rosenhouse p. 135-136 discusses "feeling bad about switching" (Olofsson also mentions this), and with Chun 1999 codifies this as an alternate game where the [[Von Neumann–Morgenstern utility]] does not equal the lottery probability. Chugh and Bazerman 2007 [http://pages.stern.nyu.edu/~dchugh/articles/2007_Rotman.pdf] is a good overview here.
11) Issues stemming from [[bounded rationality]] not discussed. E.g., {{doi|10.1002/bdm.451}} Related to this, Rosenhouse p. 135-136 discusses "feeling bad about switching" (Olofsson also mentions this), and with Chun 1999 codifies this as an alternate game where the [[Von Neumann–Morgenstern utility]] does not equal the lottery probability. Chugh and Bazerman 2007 [http://pages.stern.nyu.edu/~dchugh/articles/2007_Rotman.pdf] is a good overview here.


12) For the uniform problem a combinatorial argument (with 6 layouts by numbering the goats) is given in Rosenhouse p. 54 (taken from Williams ISBN 052100618X pp. 73-74). Richard Isaac discusses a slightly different sample space counting approach in ISBN 038794415X, pp. 8-10. These are sufficiently different proofs to include I think. (Isaac also discusses the Gillman, <small>OMG subtle POV</small> variant, if you're curious, on p. 27)
12) For the uniform problem a combinatorial argument (with 6 layouts by numbering the goats) is given in Rosenhouse p. 54 (taken from Williams {{ISBN|052100618X}} pp. 73-74). Richard Isaac discusses a slightly different sample space counting approach in {{ISBN|038794415X}}, pp. 8-10. These are sufficiently different proofs to include I think. (Isaac also discusses the Gillman, <small>OMG subtle POV</small> variant, if you're curious, on p. 27)


I hope some article improvements come out of the above, but I'm not holding my breath. A fair number of editors repeat on talk the article is fine. Others make weird edits with strange if not misleading summaries reminiscent of [[WP:ARBPIA]] articles and stonewall to perfection on talk. Of course, this article may well deserve its FA star as "the best Wikipedia could ever produce on this topic given its [[WP:1LAW|social dynamics]]", but the answer to the question: "is this article a good presentation of the topic based on the sources available", the answer is clearly ''no'' in my mind. Overall the article reads to me like it was produced by a committee of humanities journalists who read a few math articles, and cobbled them together without really understanding what they are saying or trying to integrate them in a coherent (mathematical) presentation.
I hope some article improvements come out of the above, but I'm not holding my breath. A fair number of editors repeat on talk the article is fine. Others make weird edits with strange if not misleading summaries reminiscent of [[WP:ARBPIA]] articles and stonewall to perfection on talk. Of course, this article may well deserve its FA star as "the best Wikipedia could ever produce on this topic given its [[WP:1LAW|social dynamics]]", but the answer to the question: "is this article a good presentation of the topic based on the sources available", the answer is clearly ''no'' in my mind. Overall the article reads to me like it was produced by a committee of humanities journalists who read a few math articles, and cobbled them together without really understanding what they are saying or trying to integrate them in a coherent (mathematical) presentation.
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*'''Comment''' I read the article a year or two ago and was pretty impressed with it at the time. I looked at it again during the recent arb case and it seemed to me that it had gotten worse since when I'd read it earlier. I think the FAR may have been a bit premature since the arb case may have changed the balance of forces in the content dispute enough to be able to fix the problems through normal discussions. Maybe it's possible now to salvage stuff from the edit history that got corroded in later versions prior to the arb case.<p>FWIW, I prefer less technical approach in the lead; for example, I had no trouble understanding "chooses randomly" (Donald O. Granberg's review in ''Science'' of Rosenhouse's book uses the same word in its own lead paragraph). "Uniformly" (while more precise) is IMO likelier to confuse a non-mathematical reader. In the arb case discussions I mostly agreed with Glkanter's content preferences, and found it sad that he was so terrible at collaborative editing that he had to be banned (there was really no choice about that).<p>That Granberg (the book reviewer) is a sociologist rather than a mathematician gives me the idea of trying to "user test" the article, by going over to a non-mathematical wikiproject (like sociology) and asking for volunteers to read various versions of the articles and say which parts they found understandable. As math nerds we all understand the subject too well to put ourselves in the heads of the non-math people we are trying to communicate it to. [[Special:Contributions/69.111.194.167|69.111.194.167]] ([[User talk:69.111.194.167|talk]]) 08:34, 21 April 2011 (UTC)
*'''Comment''' I read the article a year or two ago and was pretty impressed with it at the time. I looked at it again during the recent arb case and it seemed to me that it had gotten worse since when I'd read it earlier. I think the FAR may have been a bit premature since the arb case may have changed the balance of forces in the content dispute enough to be able to fix the problems through normal discussions. Maybe it's possible now to salvage stuff from the edit history that got corroded in later versions prior to the arb case.<p>FWIW, I prefer less technical approach in the lead; for example, I had no trouble understanding "chooses randomly" (Donald O. Granberg's review in ''Science'' of Rosenhouse's book uses the same word in its own lead paragraph). "Uniformly" (while more precise) is IMO likelier to confuse a non-mathematical reader. In the arb case discussions I mostly agreed with Glkanter's content preferences, and found it sad that he was so terrible at collaborative editing that he had to be banned (there was really no choice about that).<p>That Granberg (the book reviewer) is a sociologist rather than a mathematician gives me the idea of trying to "user test" the article, by going over to a non-mathematical wikiproject (like sociology) and asking for volunteers to read various versions of the articles and say which parts they found understandable. As math nerds we all understand the subject too well to put ourselves in the heads of the non-math people we are trying to communicate it to. [[Special:Contributions/69.111.194.167|69.111.194.167]] ([[User talk:69.111.194.167|talk]]) 08:34, 21 April 2011 (UTC)
:: I don't feel strongly about that, but random[ly] is [[wp:jargon]] used in probability problems to signify uniform. I can dig a ref for that if you insist. [[User:Tijfo098|Tijfo098]] ([[User talk:Tijfo098|talk]]) 09:58, 21 April 2011 (UTC)
:: I don't feel strongly about that, but random[ly] is [[wp:jargon]] used in probability problems to signify uniform. Ref [http://books.google.com/books?id=a_2vsIx4FQMC&pg=PA9] [[User:Tijfo098|Tijfo098]] ([[User talk:Tijfo098|talk]]) 10:00, 21 April 2011 (UTC)

====FARC commentary====
:''[[WP:WIAFA|Featured article criteria]] of concern mentioned in the review section include prose, referencing, stability, POV and MOS compliance. [[User:Dana boomer|Dana boomer]] ([[User talk:Dana boomer|talk]]) 15:23, 25 April 2011 (UTC)''
* I've not followed the article's talk page closely, but upon reading it today, it seems to me that the developments in the past few weeks can be summarized as "we agree to disagree" among the regulars. [[User:Tijfo098|Tijfo098]] ([[User talk:Tijfo098|talk]]) 11:33, 26 April 2011 (UTC)
:<del>As one of the editors working on this, I would like to report that we are currently making excellent progress toward a restructured and greatly improved article. Content disputes are being handled the proper way, consensus is being sought, and pretty much everyone is working together in a friendly and productive manner. There are still disagreements over content, but there is also a plan to move forward and resolve those disagreements. I will report back here when the restructuring and editing is done, and that would be a good time for a featured article review. BTW, we really could use some more eyes looking at this and making comments or editing the page. It is easy to miss the obvious if you stare at the same material again and again. [[User:Guymacon|Guy Macon]] ([[User talk:Guymacon|talk]]) 17:24, 27 April 2011 (UTC)</del> <small>See comment below [[User:Guymacon|Guy Macon]] ([[User talk:Guymacon|talk]]) 19:18, 1 June 2011 (UTC)</small>
:: I'm glad to hear some good news. <small>Although I have to say I wonder how the POV tag currently placed on the article jibes with that.</small> [[User:Tijfo098|Tijfo098]] ([[User talk:Tijfo098|talk]]) 17:51, 27 April 2011 (UTC)
:::As I understand Wikipedia policy, in a situation like we have here (one editor who is under 1RR for ownership thinks there is a POV problem, everyone else thinks there isn't) the POV tag stays. The consensus is to finish the restructuring, examine the result, ask the dissenting editor exactly what changes would address his concerns, look at both versions, and then seek consensus as to which way we should go. Yes, there is still a content dispute, but everybody appears to be committed to following Wikipedia policy regarding resolving that dispute. Unless I misunderstand policy, leaving the POV tag is the right thing to do in this situation. [[User:Guymacon|Guy Macon]] ([[User talk:Guymacon|talk]]) 18:52, 27 April 2011 (UTC)

'''Comment''' This article has been at FARC for over two weeks, with little discussion in this section. Could we please get some comments on whether the interested editors believe this article should be kept or delisted, or whether additional work is needed and ongoing? Thanks, [[User:Dana boomer|Dana boomer]] ([[User talk:Dana boomer|talk]]) 14:36, 10 May 2011 (UTC)
*'''Delist'''. I've caught up with the recent talk page comments (including the [[WP:LAME]] award), and I don't see substantive improvements or a consensus how to achieve that. [[User:Tijfo098|Tijfo098]] ([[User talk:Tijfo098|talk]]) 09:27, 12 May 2011 (UTC)
:* Does anyone else have comments? Tijfo, if you have the time, pinging all of the editors who commented above and asking them to return and enter a declaration or further comments would be a huge help. Thanks, [[User:Dana boomer|Dana boomer]] ([[User talk:Dana boomer|talk]]) 17:01, 31 May 2011 (UTC)

'''Delist'''. After months of working out a plan to resolve the longstanding content dispute that resulted in an arbcom decision and major changes to the article that pretty much everyone agrees made it worse than it was when it was made an FA, I have pretty much given up (I did ask to be notified if some day they are ready to try my proposed solution.) I can no longer advocate keeping this a FA in its present state, and I no longer believe that any real progress is being made toward resolving the issues. The individual editors are doing av good job, but they are working at cross purposes because of the longstanding content dispute. [[User:Guymacon|Guy Macon]] ([[User talk:Guymacon|talk]]) 19:18, 1 June 2011 (UTC)

:Has the situation deteriorated since your optomistic April 27 report? Can the 'working at cross purposes' be resolved? [[Special:Contributions/166.216.194.65|166.216.194.65]] ([[User talk:166.216.194.65|talk]]) 06:23, 2 June 2011 (UTC)

{{od}}

User behavior is still fine - no edit wars, no personal attacks, etc. Following Wikipedia policy is also good - everybody is citing reliable sources, no original research, etc. What ''has'' deteriorated is the chances of resolving the basic problem of different statistics professors being fairly evenly divided between two quite different and incompatible ways of explaining the Monty hall problem, with each group insisting that their way of explaining it must be in the lead and the other way of explaining it not be in the lead. I had come up with a plan which involved getting both sides to agree on creating two versions in talkspace that differ only where the content dispute required. Then I planned on shepherding the dispute through content dispute resolution and attaining consensus among a wider group of editors (nobody wants to wade though page after page of talkpage arguments about statistics) Alas, one of the most vocal proponents of one of the two sides refuses to cooperate with my plan. There is no requirement that he cooperate, of course, but without everyone agreeing on an easy to understand document showing exactly how the two sides of this highly technical mathematical dispute will look when translated to a Wikipedia article, I just don't see how I can expect any editors who don't happen to be statistics experts can judge the two sides of the dispute properly. So we are left with a good-faith content dispute, with both sides having quite reasonable - but highly technical - arguments as to why their POV should prevail. All efforts at compromise have failed. The arbcom action was a huge success at fixing the misbehavior issues, but of course the arbcom does not rule on content disputes.

Perhaps someone else might want to take a shot at being a neutral voice that does not take sides in the content dispute. I am getting a bit burnt out and am taking a break from it. [[User:Guymacon|Guy Macon]] ([[User talk:Guymacon|talk]]) 14:37, 2 June 2011 (UTC)


:''The above discussion is preserved as an archive. <span style="color:red">'''Please do not modify it.'''</span> No further edits should be made to this page.''</div><!--FAbottom--><!--Tagged by FA bot-->

Latest revision as of 13:11, 20 November 2018