Enda Kelly <[EMAIL PROTECTED]> wrote:

> Hi. I have a query regarding whether it is logical to place a
> confidence interval about a P-value. The computation involved uses a
> permutation method to produce a P-value for a hypothesis test.

Variance associated with the estimate of such P-value will be
proportional to p(1-p) where p is the "true" p - which can be defined
as p obtained with the infinite number of permutations.

Hence values closer to 1/2 will tend to have wider CIs.

Think of it as a binomial trial. You count "successes" as random data
sets that result in the more extreme values of your test statistic as
the one for the non-permuted data. The success probability is p.

DZ


> In an effort to check the reliability of this P-value I have been
> bootstrapping the raw data to produce a confidence interval about
> this P-value. Curiously, for significant P-values the CI is in
> general quite narrow, whereas for non-significant values, I get
> enormous CIs. This leads me to the suspicion that there is something
> flawed about the process. Am I correct in my suspicions?

> Regards,
> Enda

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