# RE: [R] Question on statistics

From: Roy Werkman <roy.werkman_at_asml.com>
Date: Thu 24 Mar 2005 - 00:32:05 EST

Var(mean of finite population) = ((N - n)/(N - 1)) * var(population) / n

This should be it...

Greetings,
Roy

-----Original Message-----
From: Liaw, Andy [mailto:andy_liaw@merck.com] Sent: Wednesday, March 23, 2005 2:17 PM
To: Roy Werkman; r-help@stat.math.ethz.ch Subject: RE: [R] Question on statistics

If the sample is drawn with replacement from the finite population, then the usual formula applies (assuming iid samples); i.e., var(sample mean) =
var(population) / n.

There's some problem in your description: A finite population, I believe, is necessarily discrete (since there are only N possible values), so it can not be Gaussian (i.e., normal).

Andy

> From: Roy Werkman
>
> Ehh, by limited distribution, I meant to say a population of N points.
>
> ...
>
> Hi,
>
> Can anyone help me with the following (although not directly
> correlated to R functionality)? I have been looking on the internet
> but can not find the answer.
>
> My question: what is the variation on the mean of a limited
> distribution (total N points normally distributed), when I have a
> small sample of that distribution (n < N)?
>
> Your help would be very welcome.
>
> Thanx,
> Roy
>
>
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