Re: An unbiased estimator of mu^2
From: Richard Ulrich (Rich.Ulrich_at_comcast.net)
Date: 02/08/05
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Date: Tue, 08 Feb 2005 10:09:13 -0500
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.
Did you know ANYONE who does not choose to combine
sigmas, instead of sigma-squareds?
As I stated, unbiased isn't so important, once you get to
the final step of your conclusions. But you really don't
want bias for the numbers you combine further.
-- Rich Ulrich, wpilib@pitt.edu http://www.pitt.edu/~wpilib/index.html
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