nonparametric significance test for one sample

HelponR <suncertain <at> gmail.com> writes:

Hi, Greg:

Just let you know that the beta regression package in R can only work for
data on the open interval (0, 1)

Do you know any good test of mean for beta distribution? How to verify
if the data is beta distributed?

For example, I may want to test the null :

mean <= 0.0000000001

I think your idea of testing zero for nonnegative numbers makes sense. But
it seems to make a null hypothesis on a distribution, not simply mean.

I could be bettered off if I can find a good nonparametric test which does
not assume symmetry or a test for beta distribution if the beta
distribution can be verified.

Many thanks,

S

Possibly contrary to what the documentation for the
beta regression package, the beta distribution has
finite density for 0 and 1 _if_ the shape parameters
are large enough/variance parameter is small enough
(but probably this is not your situation, if you
have lots of zeros).

  fitdistr() in the MASS package will give
a maximum-likelihood fit of the beta distribution
to a univariate distribution, but if you want
to calculate profile confidence limits etc. you
might want to look into the mle() function in 
the stats4 package ...

  Ben Bolker

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