[EMAIL PROTECTED] wrote:
>
> Hi All
>
> Is it possible to generate a sample that has a specific mean, SD (also
> skewness, kurtosis)?
Yes, it is (although there are, IIRC, some inequalities that skewness
and kurtosis must obey.)
As a start, you can get any mean and SD you like with N=2, then just
replicate that as often as you like to get larger N.
I think that four data will suffice for any possible combination of
mean,SD,skewness and kurtosis. Just write out the equations, expanding
all summations:
mu = w + x + y + z
sigma^2 = (w-mu)^2 + (x-mu)^2 + (y-mu^2) + (z-mu)^2 / 4
(etc)
and solve.
-Robert Dawson
.
.
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