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https://issues.apache.org/jira/browse/MATH-1086?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13868406#comment-13868406
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Thomas Neidhart commented on MATH-1086:
---------------------------------------

Actually, the BinomialConfidenceInterval class would also be suited for 
sub-classing, as all the getXXXInterval methods have the same signature. The 
interface would be like this

{noformat}
public interface BinomialConfidenceInterval {
   ConfidenceInterval createInterval(int numberOfTrials, int numberOfSuccesses, 
double confidenceLevel);
}
{noformat}

And there would be an implementation for each method:

 * Wilson
 * NormalApproximation
 * ...

Maybe an overkill, but at least very flexible ;-)

> Incorrect results from BinomialConfidenceInterval#getWilsonScoreInterval
> ------------------------------------------------------------------------
>
>                 Key: MATH-1086
>                 URL: https://issues.apache.org/jira/browse/MATH-1086
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.3
>            Reporter: Siarhei Khamenka
>             Fix For: 3.3
>
>
> It looks like BinomialConfidenceInterval#getWilsonScoreInterval produces not 
> accurate results for interval lower bound.
> E.g. for input (10,9,0.95) it returns 0.818 instead of 0.596; 
>        for input (10,10,0.95) it returns 0.856 instead of 0.722.
> Used also 
> http://epitools.ausvet.com.au/content.php?page=CIProportion&SampleSize=10&Positive=9&Conf=0.95&Digits=3
>  and http://www.measuringusability.com/wald.htm to verify it.



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