Talk:Binomial proportion confidence interval: Difference between revisions

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suggestions for improvement

I wrote some of the material a few years ago. Maybe it is a bit too technical. I'll add an extra paragraph in the introduction that explains why there is more than one formula. Steve Simon (talk) 15:00, 9 September 2008 (UTC)[reply]

The article has been labelled too technical, but I don't see it as being that much more technical than a lot of other mathematical articles. One could leave out detail to make things more succinct, but that might make it more difficult to follow. Some suggestions:

remove the bit on inverting hypothesis tests, and just mention the normal-derived interval is called a Wald interval, with a link

add a section on continuity corrections for the normal interval (and score intervals?)146.232.75.208 15:17, 22 September 2006 (UTC)[reply]

27 Nov 2006: I am not a statistician but I believe there may be an important error in the Wilson score interval. According to http://www.ppsw.rug.nl/~boomsma/confbin.pdf, the final term in the numerator under the square root sign should be (z squared)/(4n squared), not (z squared)/4n as is written. I don't have the mathematical capacity to determine which is correct, but for my data the former calculation makes a lot more sense than the latter, so I suspect that wikipedia's entry is wrong. I hope a statistician reviews this at some point!

Actually I think the Wilson score interval was right the first time. The formula in the cited article only looks different because the expression inside the square root was multiplied out. 131.111.8.104 15:34, 29 May 2007 (UTC)[reply]

There is a comment within the article that does not belong there. Look in the section "wilson score interval" for the sentence "(The following formula may be wrong. It's identical to the way the Normal approximation is derived)". This statement has to be moved to the discussion. Can someone please check if the formula is correct and then remove that comment, please. —Preceding unsigned comment added by 82.212.0.230 (talk) 13:52, 17 May 2008 (UTC)[reply]

I don't understand the comment that the Clopper-Pearson intervals are conservative due to the discreteness of the Binomial distribution; they are based on the beta distribution which IS continuous and well behaved in the interval. So, in fact, I think the comment is wrong (Fredrik x nilsson).

Fredrik, check out Brown, Cai, DasGupta 2001 in the references for a great illustration of the conservative performance of the Clopper-Pearson interval. I updated this section to help clarify. In short, by ensuring that the coverage is never below 95%, it is often much above 95%. MrYdobon (talk) 08:26, 29 September 2009 (UTC)[reply]

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 * There is a comment within the article that does not belong there. Look in the section "wilson score interval" for the sentence "(The following formula may be wrong. It's identical to the way the Normal approximation is derived)". This statement has to be moved to the discussion. Can someone please check if the formula is correct and then remove that comment, please.  <small>—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/82.212.0.230|82.212.0.230]] ([[User talk:82.212.0.230|talk]]) 13:52, 17 May 2008 (UTC)</small><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->
-* I don't understand the comment that the Clopper-Pearson intervals are conservative due to the discreteness of the Binomial distribution; they are based on the beta distribution which IS continuous and well behaved in the interval. So, in fact, I think the comment is wrong (Fredrik x nilsson).
+I don't understand the comment that the Clopper-Pearson intervals are conservative due to the discreteness of the Binomial distribution; they are based on the beta distribution which IS continuous and well behaved in the interval. So, in fact, I think the comment is wrong (Fredrik x nilsson).
+* Fredrik, check out Brown, Cai, DasGupta 2001 in the references for a great illustration of the conservative performance of the Clopper-Pearson interval.  I updated this section to help clarify.  In short, by ensuring that the coverage is never below 95%, it is often much above 95%. [[User:MrYdobon|MrYdobon]] ([[User talk:MrYdobon|talk]]) 08:26, 29 September 2009 (UTC)