Re: An unbiased estimator of mu^2
Large_Nassau_Grouper_at_Yahoo.com
Date: 02/08/05
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Date: 8 Feb 2005 07:27:59 -0800
Richard Ulrich wrote:
> On 7 Feb 2005 21:48:10 -0800, Large_Nassau_Grouper@Yahoo.com wrote:
>
> >
> > Richard Ulrich wrote:
> > > On 7 Feb 2005 17:31:15 -0800, Large_Nassau_Grouper@Yahoo.com
wrote:
> > > [ ... ]
> [ ... ]
> >
> > Did you know that the sample standard deviation s is
> > a BIASED estimator of the population standard deviation
> > sigma? s-squared is the unbiased estimate of the
> > population variance sigma-squared.
> >
> [ ... ]
> >
> > Do you know ANYONE who ever uses an unbiased estimate for
> > the population standard deviation sigma?
>
>
> This seems to incidentally demonstrate the good
> sense of my post.
If seems you are evading my question.
>
> Did you know ANYONE who does not choose to combine
> sigmas, instead of sigma-squareds?
As in a pooled standard deivation? In the commonly used form,
the pooling is done on the VARIANCES, and the pooled standard
deviation is still biased.
So what's your point about the good sense of your post?
> --
> Rich Ulrich, wpilib@pitt.edu
> http://www.pitt.edu/~wpilib/index.html
-- Bob.
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