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From "Bruno P. Kinoshita (JIRA)" <j...@apache.org>
Subject [jira] [Commented] (MATH-1401) Exception at IntervalUtils.getClopperPearsonInterval
Date Tue, 09 May 2017 10:54:04 GMT

    [ https://issues.apache.org/jira/browse/MATH-1401?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=16002481#comment-16002481
] 

Bruno P. Kinoshita commented on MATH-1401:
------------------------------------------

Found a better paper explaining it (A. Boomsma, "Confidence Intervals for a Binomial Proportion"
link: http://www.ppsw.rug.nl/~boomsma/confbin.pdf).

{quote}
For x = 0, the lower limit r1 = 0, because the upper limit ru satisfies the equality (1 -
ru) ^n = alpha / 2, from which it follows that ru = 1 - (alpha / 2) ^ 1/n.

For x = n, the upper limit ru = 1, because the lower limit satisfies r = alpha / 2, which
makes r = (alpha / 2) ^ 1/n.
{quote}

Which matches exactly with the R implementation. I will update the code, and run some codes
for this Case #1. In case it works, will report back here and focus on Case #2 (which could
be automatically fixed by fixing Case#1 I think...).

> Exception at IntervalUtils.getClopperPearsonInterval
> ----------------------------------------------------
>
>                 Key: MATH-1401
>                 URL: https://issues.apache.org/jira/browse/MATH-1401
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.6.1
>            Reporter: Art
>            Assignee: Bruno P. Kinoshita
>             Fix For: 4.0
>
>
> IntervalUtils.getClopperPearsonInterval throws an exception when number of successes
equals to zero or number of successes = number of trials.
> IntervalUtils.getClopperPearsonInterval(1, 0, 0.95) or IntervalUtils.getClopperPearsonInterval(1,
1, 0.95) throws org.apache.commons.math3.exception.NotStrictlyPositiveException despite that
its input parameters are valid. 
>  



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