> >"@Home" wrote:
> >> >
> >> > Is there any downloadable freeware that can generate let's say 2000 random
> >> > samples of size n=100 from a population of 100 numbers.
> >> >
> >>
> >and Randy Poe responded:
> >> Um.
> >>
> >> A sample of 100 from a population of 100 is going to
> >> give you the entire population.
I replied:
> > Depends whether you sample with or without replacement.
and Jon Cryer wrote:
>
> But it would be bad statistics to sample with replacement.
If I were taking one sample of size 50 from a population of voters it
would probably be bad statistics to sample with replacement, because the
sample would be less informative than one I could easily take without
replacement. In other circumstances a sample with replacement might be
the only procedure easily available; this can certainly be handled by
slight (often negligible) modifications ofthe theory.
But if somebody is taking 2000 samples from a population of "100
numbers" we can be fairly sure that this is for some sort of simulation
purpose; many resampling techniques *require* a sample with replacement.
It cannot, then, be called "bad statistics" in general.
-Robert Dawson
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